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Current time:0:00Total duration:3:15

Intro to long division (no remainders)


Video transcript

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 I'm going to write it a little bit differently I'm going to write 96 96 divided by so I'm going to write this kind of strange-looking symbol right over here this thing that kind of covers the 96 but you could view this as 96 divided by 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 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 if we could we want the largest number that gets us into 9 without going over 9 so we'll say it goes 2 times 4 goes into 9 2 times and then we say what's 2 times 4 well 2 times 4 is 8 2 times 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 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 4 times 4 times 4 is 16 so we say 4 goes into 16 4 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 is equal to 1 do that in a different color is equal to 20 is equal to 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 end 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 all as 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 nine tens so we're saying well how many times does 4 go into 90 without going 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 96-86 teen left over to divide 4 into and then 4 goes into 16 4 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 all the way to 96 we have to go another four times hopefully that helps