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Introduction to dividing by 2-digits (video) | Khan Academy

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Sal uses estimation to introduce dividing by 2-digit numbers.

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Video transcript

let's tackle a slightly more interesting division problem so we're going to take 280 and divide it by 5 and I encourage you to pause this video and try to apply the technique that we've seen in previous video to try to figure out what 280 divided by 5 is so let's have our go at it so we could rewrite this we've already seen this as 280 divided by divided by 5 so the first question we can ask ourselves is how many times does 5 go into 2 well 5 doesn't go into 2 at all it goes 0 times 0 times 5 is 0 and then we subtract 2 minus 0 is 2 and now we can bring down the next digit which in this case is an 8 and so we can ask ourselves how many times does 5 go into 28 without going over it so we could think well if let's see 5 times 5 is 25 5 times 6 is 30 so 5 times 6 would go over to 28 so we would want to go back to 5 times 5 so 5 goes into 28 5 times 5 times 5 is 25 and you subtract 28 minus 25 is 3 and now let's bring down the next digit in this case the digit is a zero so how many times does 5 go into 30 well it goes exactly 6 times we've already talked about that 6 times 5 is 30 we subtract and we have nothing we have nothing left over so we just figured out that 280 divided by 5 is equal to is equal to 56 now why did this work well the first way to think about it this was actually 200 and we were thinking about do we put anything in the hundreds place here so one way of thinking about it how many hundreds of times does 5 go into 200 and it doesn't go any multiples of 100 and if that's a little confusing don't worry too much about it but I want you to really think about deeply about the place notation but then we were able to again extend it to instead of just 200 but then 280 this 28 right over here if you think about it this 2 is in the hundreds place this 8 is in the tens place so this is really representing 280 and we said how many tens of times I'll go into 280 well it goes five tens times or it goes 50 times 50 times five is 250 when you subtract 250 from 280 you got 30 and there was no other things in the ones place here so we just have to figure out how many times does 5 go into 30 so hopefully that gives you a sense of what's actually happening behind this little process this little it's not just magic we're really just keeping track of place value here the other thing I want to show you is that we didn't necessarily have to write this zero here another way of computing it we could have said 280 divided by 5 we could have said how many times does 5 go into 2 what doesn't go any times so let's just think about 5 go into 28 5 going into 28 well 5 goes into 28 5 times 5 times 5 is 25 subtract 28 minus 25 is 3 bring down the 0 5 goes into 30 6 times 6 times 5 is 30 and we have nothing left over and again what we were really saying is that 5 doesn't go into 2 200 any hundreds of times if this was a 500 you could say hey is going to go in at 100 times but instead we go well what about five going into 280 well it goes 50 times 50 times 5 is 250 280 minus 250 is 35 goes into 30 6 times so hopefully that makes a little bit of sense

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Long division: 280÷5 (video) | Khan Academy

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In this video, I'll introduce you to a new way of computing division, especially for larger numbers. And then we'll think a little bit about why it works. So we're going to try to compute what 96 divided by 4 is. And I'm going to write it a little bit differently. I'm going to write 96 divided by-- so I'm going to write this strange-looking symbol right over here, this thing that covers the 96. But you could view this as 96 divided by 4. And I'll show you in a second why we write it this way. This is actually a very useful way of actually computing it. So the first thing we'll do is we'll say, well, how many times does 4 go into 9? Well, we know that 4 times 2 is equal to 8 and that 4 times 3 is equal to 12. So 3 would be too much. We would go above 9. So we want to be below 9 but not have too much left over. We want the largest number that gets us into 9 without going over 9. So we'll say it goes two times. 4 goes into 9 two times. And then we say, what's 2 times 4? Well, 2 times 4 is 8. 4 times 2 is 8. Or 2 times 4 is 8. And now, we subtract. We subtract the 8 from the 9. And we get 1. And now we bring down the next digit, which is the 6. And then we ask ourselves, well, how many times does 4 go into 16? Well, in this case, we know that 4 goes into 16 exactly four times. 4 times 4 is 16. So we say 4 goes into 16 four times. Then we multiply 4 times 4 is 16. We subtract. And 16 minus 16, we have absolutely nothing left over. And there we have our answer. I know it seems kind of magical at this point. But in a few seconds, we're going to think about why this actually worked. We got that 96 divided by 4 is equal to-- I want to do that in a different color-- 24. Now, what I want you to do right now is pause this video and think about why did this actually work. How did we magically get the right answer here? And you can verify this. Multiply 4 times 24, and you will get 96. Well, I'm assuming you gave a go at it. And the important thing always is to keep track of the place value. And it really tells you what's going on when we do this process. When we looked at this 9 right over here, this 9 is in the tens place. This is actually representing 90. It represents 9 tens. So we're saying, well, how many times does 4 go into 90 if we're thinking about multiples of 10? Well, it goes 20 times. 4 times 20 is 80. And so we said, well, 4 times 20 is 80. But we still have 16 left over. You do 96 minus 80. You have 16 left over to divide 4 into. And then 4 goes into 16 four times. So really, a lot of this is just saying, well, we first figured out that we could go 20 times. And then we said, well, that doesn't get us all the way to 96. We have to go another four times. Hopefully, that helps.

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Intro to long division (no remainders) (video) | Khan Academy

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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Long Division

In this video, learn how to use long division to divide large numbers. In the accompanying classroom activity, students learn how to use the standard long division algorithm. They explore alternative ways of thinking about long division by using place value to decompose three-digit numbers into hundreds, tens, and ones, creating three smaller (and less complex) division problems. Students then use these different solution methods in a short partner game.

This resource is part of the Math at the Core: Middle School collection.

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In this video, learn how to use long division to divide large numbers. In the accompanying classroom activity, students learn how to use the standard long division algorithm. They explore alternative ways of thinking about long division by using place value to decompose three-digit numbers into hundreds, tens, and ones, creating three smaller (and less complex) division problems. Students then use these different solution methods in a short partner game.