# data[].attributes.headline
Long division with Double digit divisors

# data[].attributes.subject
Long division with Double digit divisors

# data[].attributes.attachment_link.title
Long Division With 2 Digit Divisors Song (Decimals & Remainders)

# data[].attributes.body
https://www.studyladder.com/login/account

# data[].attributes.attachment_link.title
Studyladder, online english literacy & mathematics. Kids activity games, worksheets and lesson plans.

# data[].attributes.attachment_link.description
Used by over 70,000 teachers & 1 million students at home and school. Studyladder is an online english literacy & mathematics learning tool. Kids activity games, worksheets and lesson plans for Primary and Junior High School students in United States.

# data[].attributes.attachment_link.title
Long Divison Song - McDonalds Division Video

# data[].attributes.attachment_link.description
Easily create beautiful interactive video lessons for your students you can integrate right into your LMS. Track students' progress with hassle-free analytics as you flip your classroom!

# data[].attributes.attachment_link.title
MATH Division - Interpreting the Remainder 11x17 Poster_Anchor Chart

# data[].attributes.attachment_link.readable_text
Your web browser must have JavaScript enabled in order for the long division calculator to function.

This Long Division Calculator will get you dividing in no time! Enter your own numbers at any time, or just keep watching. You enter the divisor here...

...and then enter a dividend here...

Whoa! Check out what's happening. This is long division in action!

Using the Long Division Calculator

Using this long division calculator is easy! Enter a divisor and a dividend in the boxes, and the calculator will show all the work necessary to solve the long division problem.

If you need a long division calculator that will not just supply the quotient, but show the work necessary to divide correctly, then you've found it. When you enter a quotient and a dividend, the problem itself becomes instantly part of the long division calculator's work showing the answer, and you can highlight portions of the division steps to see how they relate to each other.

How to Do Long Division

The long division steps are applied repeatedly to solve a long division problem.

1. Divide

See how many times the divisor goes into the smallest possible part of the dividend. This will give you a digit to use as part of the quotient.

2. Multiply

Take the quotient digit from the first step and multiply it by the divisor, writing it underneath the partial dividend to setup for a subtraction operation.

3. Subtract

Subtract the product from the prior step from partial dividend to get a remainder amount. This amount should always be less than the quotient.

4. Bring Down

Bring down digits from the dividend, extending the remainder from the prior step, until that amount is greater than the divisor, then repeat.

5. Repeat

Repeat until all of the digits have been brought down. Any result that cannot be further divided is the long division problem's remainder.

After you have brought down all of the digits, if the remaining number is less than the divisor, that value is the remainder. The long division calculator shows the remainder with an arrow carrying it back up to the quotient.

These are same steps the long division calculator uses to show the work for a long division problem when a remainder is generated. The first answer digit in the quotient is shown in the long division.

The hardest part of performing the long division steps by hand is the initial division step. Determining how many times the partial dividend is divided by the divisor can be tricky, especially when dealing with multiple-digit divisors. As a check, if the product of the multiplication step is larger than the divisor, you know that the partial quotient in the first step can be increased. You can observe this in the work shown in the long division calculator... Notice that the product of the multiply step is always less than the remainder.

An Example of Long Division with Remainders

The easiest way to understand long division is to see an example. This long division calculator lets you do that for any problem! You can enter a problem and explore the individual steps by hovering over portions of the work shown in the calculator, but even with that extra bit of help, long division can be difficult to understand. The example below walks through a problem using the same "show your work" output that the long division calculator generates for a typical problem. This should help you put the calculator's output in context and help you understand how to work long division problems on your own!

More Resources for Learning Long Division

I hope this long division calculator is a big help figuring out the steps for long division and for seeing where remainders come from. But there are lots of great long division guides online.

Of coures, Wikipedia has a long discussion on long division which might be a little wordy, but about midway down there is a nice animated image that describes multiple digit divisors that inspired some of what this calculator shows in the work output.

If you're looking for a slightly different way to do long division, try watching this video on partial quotient division.

And, as always, Maria provides some great instructional video and detailed explanations over at the long division age at HomeSchoolMath.net.

Finally, one of the most important things you can do is practice! These long division worksheets are just some of the great resources at DadsWorksheets and they go great with this long division calculator for mastering this essential math skill!

Calculator Updates

02/20/2017

This is the initial pass at a long division calculator with remainders.

03/04/2017

Enhanced highlighting of intermediate long division steps in the calculator's output where work is shown.

'

# data[].attributes.attachment_link.description
Your web browser must have JavaScript enabled in order for the long division calculator to function. This Long Division Calculator will get you dividing in no time! Enter your own numbers at any time, or just keep watching. You enter the divisor here... ...and then enter a dividend here... Whoa!

# data[].attributes.attachment_link.readable_text
Forgot your password? Enter your email address and we'll send you password reset instructions.

A note about spam filters:
If you don't get an email from us within a few minutes, please be sure to check your spam filter. The email will be coming from support@mobymax.com.

# data[].attributes.attachment_link.readable_text
In this article I explain how to teach long division in several steps. Instead of showing the whole algorithm to the students at once, we truly take it "step by step".

Before a child is ready to learn long division, he/she has to know:

multiplication tables (at least fairly well)

basic division concept, based on multiplication tables
(for example 28 ÷ 7 or 56 ÷ 8)

basic division with remainders (for example 54 ÷ 7 or 23 ÷ 5)

One reason why long division is difficult

Long division is an algorithm that repeats the basic steps of
1) Divide; 2) Multiply; 3) Subtract; 4) Drop down the next digit.

Of these steps, #2 and #3 can become difficult and confusing to students because they don't seemingly have to do with division-they have to do with finding the remainder. In fact, to point that out, I like to combine them into a single "multiply & subtract" step.

To avoid the confusion, I advocate teaching long division in such a fashion that children are NOT exposed to all of those steps at first. Instead, you can teach it in several "steps":

Step 1: Division is even in all the digits. Here, students practice just the dividing part.

Step 2: A remainder in the ones. Now, students practice the "multiply & subtract" part and connect that with finding the remainder.

Step 3: A remainder in the tens. Students now use the whole algorithm, including "dropping down the next digit", using 2-digit dividends.

Step 4: A remainder in any of the place values. Students practice the whole algorithm using longer dividends.

Step 1: Division is even in all the digits

We divide numbers where each of the hundreds, tens, and ones digits are evenly divisible by the divisor. The GOAL in this first, easy step is to get students used to two things:

1. To get used to the long division "corner" so that the quotient is written on top.

2. To get used to asking how many times does the divisor go into the various digits of the dividend.

Example problems for this step follow. Students should check each division by multiplication.

In this step, students also learn to look at the first two digits of the dividend if the divisor does not "go into" the first digit:

More example problems follow. Divide. Check your answer by multiplying the quotient and the divisor.

Step 2: A Remainder in the ones

Now, there is a remainder in the ones (units). Thousands, hundreds, and tens digits still divide evenly by the divisor. First, students can solve the remainder mentally and simply write the remainder right after the quotient:

Next, students learn to find the remainder using the process of "multiply & subtract". This is a very important step! The "multiply & subtract" part is often very confusing to students, so here we practice it in the easiest possible place: in the very end of the division, in the ones colum (instead of in the tens or hundreds column). Of course, this assumes that students have already learned to find the remainder in easy division problems that are based on the multiplication tables (such as 45 ÷ 7 or 18 ÷ 5).

In the problems before, you just wrote down the remainder of the ones. Usually, we write down the subtraction that actually finds the remainder. Look carefully:

Here are some example problems. Now, the students check the answer by multiplying the divisor times the quotient, and then adding the remainder.

Step 3: A remainder in the tens
In this step, students practice for the first time all the basic steps of long division algorithm: divide, multiply & subtract, drop down the next digit. We use two-digit numbers to keep it simple. Multiply & subtract has to do with finding the remainder, and after finding a remainder, we combine that with the next unit we are getting ready to divide (dropping down the digit).

An example:

Two goes into 5 two times, or 5 tens ÷ 2 = 2 whole tens -- but there is a remainder!

Step 4: A remainder in any of the place values
After the previous step has been mastered, students then practice long division with three- and four-digit numbers where they will have to go through the basic steps several times.

Two goes into 2 one time, or 2 hundreds ÷ 2 = 1 hundred.

Divide 2 into 7. Place 3 into the quotient.

Divide 2 into 18. Place 9 into the quotient.

Multiply 9 × 2 = 18, write that 18 under the 18, and subtract to find the remainder of zero.

There are no more digits to drop down. The quotient is 139.

These ideas are also explained in the YouTube video below:

Why long division works

I feel the long division algorithm AND why it works presents quite a complex thing for students to learn, so in this case I don't see a problem with students first learning the algorithmic steps (the "how"), and later delving into the "why". Trying to do both simultaneously may prove to be too much to some.

However, once the student has a basic mastery of how to do long division, it is time to also study what it is based on. To learn more about that, please see:

Why long division works (based on repeated subtraction)
Long division as repeated subtraction

Worksheets

Long division worksheets
Create an unlimited supply of worksheets for long division (grades 4-6), including with 2-digit and 3-digit divisors. The worksheets can be made in html or PDF format - both are easy to print. You can also customize them using the generator.

# data[].attributes.attachment_link.title
How to teach long division: a step-by-step method

# data[].attributes.attachment_link.description
How to teach long division in several steps. Instead of showing the whole algorithm to the students at once, students first practice only the dividing, next the 'multiply & subtract' part, and lastly use the whole long division algorithm.

# data[].attributes.attachment_link.title
Long Division - Long Division Video - How to Do Long Division - Flocabulary

# data[].attributes.attachment_link.description
Learn the steps of long division using the standard algorithm with Flocabulary's educational hip-hop video and lesson resources.

# data[].attributes.attachment_link.readable_text
This website requires cookies to be enabled in order to work properly. But don't worry, we do not use third-party cookies or track your activity on other sites.

Once you have cookies enabled, you can click here to go to the Math Antics home page.
⚠️

# data[].attributes.attachment_link.title
Math Antics | Basic Math Videos and Worksheets

# data[].attributes.attachment_link.description
This website requires cookies to be enabled in order to work properly. But don't worry, we do not use third-party cookies or track your activity on other sites. Once you have cookies enabled, you can click here to go to the Math Antics home page. ⚠️

# data[].attributes.attachment_link.readable_text
This website requires cookies to be enabled in order to work properly. But don't worry, we do not use third-party cookies or track your activity on other sites.

Once you have cookies enabled, you can click here to go to the Math Antics home page.
⚠️

# data[].attributes.attachment_link.title
Math Antics | Basic Math Videos and Worksheets

# data[].attributes.attachment_link.description
This website requires cookies to be enabled in order to work properly. But don't worry, we do not use third-party cookies or track your activity on other sites. Once you have cookies enabled, you can click here to go to the Math Antics home page. ⚠️

# data[].attributes.headline
Silly School Songs! (About Long Division

# data[].attributes.subject
Silly School Songs! (About Long Division

# data[].attributes.body
https://www.youtube.com/watch?v=MNajEo5N7FI

# data[].attributes.body
E.1 https://www.ixl.com/math/grade-4/division-facts-to-10
E.2 https://www.ixl.com/math/grade-4/division-facts-to-10-word-problems
E.3
https://www.ixl.com/math/grade-4/division-facts-to-12
E.4
https://www.ixl.com/math/grade-4/division-facts-to-12-word-problems
E.5
12-word-problems
https://www.ixl.com/math/grade-4/properties-of-division

# data[].attributes.body
4.1.1.6 Use strategies and algorithms based on knowledge of place value, equality and properties of operations to divide multidigit whole numbers by one- or two-digit numbers. Strategies may include mental strategies, partial quotients, the commutative, associative, and distributive properties and repeated subtraction.

Divide 2-digit numbers by 1-digit numbers (4-E.6)

Divide 2-digit numbers by 1-digit numbers: word problems (4-E.7)

Divide 2-digit numbers by 1-digit numbers: complete the table (4-E.8)

Divide 2-digit numbers by 1-digit numbers: interpret remainders (4-E.9)

Divide larger numbers by 1-digit numbers (4-E.10)

Divide larger numbers by 1-digit numbers: complete the table (4-E.12)

Divide larger numbers by 1-digit numbers: interpret remainders (4-E.13)

Choose numbers with a particular quotient (4-E.14)

Division patterns over increasing place values (4-E.15)

Divide numbers ending in zeroes by 1-digit numbers (4-E.16)

Divide numbers ending in zeroes by multi-digit numbers (4-E.20)

Divide 2-digit numbers by multiples of 10 (4-E.22)

Divide by 2-digit numbers (4-E.23)

Divide larger numbers by 2-digit numbers (4-E.25)

# data[].attributes.body
Multiplication and Division

# data[].attributes.attachment_link.title
Edmentum Online Learning Programs for Educators - Moving Education…

# data[].attributes.attachment_link.description
Edmentum is a leading provider of online learning programs designed to drive student achievement for academic and career success.

# data[].attributes.attachment_link.title
Long Division Style (Gangnam Style Parody)

# data[].attributes.body
Diving we stand

# data[].attributes.body
Long Division 34481

# data[].attributes.attachment_link.description
Review student understanding at the class, individual student, or question-level.