in this video we're going to talk about how to divide two numbers so let's say if we want to divide 228 by four so how can we use long division to find the answer well let's go ahead and begin so first how many times does 4 go into 22 4 goes into 22 five times because four times five is twenty twenty two minus twenty that's two next we need to bring down the eight so how many times does four go into 28 4 goes into 28 seven times 4 times 7 is 28 and so the remainder is zero and so that's the answer so now it's your turn go ahead and try this one divide 182 by seven feel free to pause the video so seven doesn't go into one but how many times does seven go into eighteen seven goes into eighteen two times seven times two is fourteen next let's subtract eighteen by fourteen eighteen minus fourteen is four and then we're going to bring down the two so how many times does 7 go into 42 so hopefully you know your multiplication tables 7 times 6 is 42 which leaves a remainder of 0. so 182 divided by 7 is 26. so let's try an example with a large number let's divide 1720 by eight so go ahead and take a minute and try this particular example so first let's rewrite it eight doesn't go into one because a is larger than one but eight can go into seventeen eight times two is sixteen and that will leave a remainder of 1. now let's bring down the next digit so now how many times does 8 go into 12 8 goes into 12 one time 1 times eight is eight eight times two is sixteen which is more than twelve so that's too much and i will subtract twelve minus eight is equal to four and now the last thing that we need to do is bring down the zero so how many times does eight go into forty eight times five is forty so seventeen twenty divided by eight is two hundred and fifteen now let's say if we want to divide a large number by a two-digit number what can we do in this example so go ahead and try this example so 12 goes into 16 one time 12 times 1 is 12 and 16 minus 12 is 4. now let's bring down the two how many times does 12 go into 42 if you're not sure make a list 12 plus 12 is 24 24 plus 12 is 36 36 plus 12 is 48. 12 times 1 is 12 12 times 2 is 24 12 times 3 is 46 12 times 4 is 48 48 exceeds 42 so we have to stop at thirty six so twelve goes into forty two three times twelve times three is thirty six and forty two minus thirty six is six next let's bring down the zero if we add another 12 to 48 this will give us 16 which means that 12 times 5 is 60. so the final answer is 135 that's 1620 divided by 12. try this one what is 1125 divided by twenty five go ahead and find the answer so let's put 11 25 on the inside so 25 does not go into 11 so we can't really do anything there so we need to use the first three digits 112. how many times does 25 go into 112 let's make a list 25 plus 25 is 15. if we add another 25 it's 75 and then 100 and then 125. so 25 times 2 is 50. 25 times 3 is 75 times 4 it's 100 and 25 times 5 is 125. so 125 exceeds 112 but 100 is less than 112. so therefore 25 goes into 112 four times and 25 times 4 is 100 and now we need to subtract 112 minus 100 is 12. and now let's bring down the five and we know that 25 goes into 125 exactly five times so the remainder's zero so 1125 divided by 25 is 45 that's the answer here's another example for you 2946 divided by 32. let's begin so 32 doesn't go into 24 so there's nothing that we can do here so let's use the first three digits how many times does 32 go into 249 let's make a list 32 plus 32 is 64 and 64 plus 32 that's 96 and if we want to add 96 plus 32 that's going to be 8 and 12 which is basically 128 when you're dealing with large numbers it helps if you make a list first once you get up to 10 you just need to use it once and you don't need to do it again now 128 plus 32 if we add that eight and two is ten carry over the one two plus three plus one is six bring down the one that's 160. and if we add 32 to 160 that's going to be 192. and then 192 plus 32 that's 4 3 and 9 is 12 carry over the one that's going to be 224. now 224 plus 32 we just got to add 24 and 32. four and two is six two and three is five so this is going to be 256. and if you want to add it one more time six plus two is eight five and three is eight the next one is going to be 288 so let's count it 32 times 3 is 96 32 times 5 is 160 32 times 7 is 224 32 times 9 is 288 so you get the picture now using this how many times does 32 go into 249 well 256 is greater than 249 so we can't use that the 224 is the highest number that's less than 249 so we could say that 32 goes into 249 seven times 32 times seven is 224 and then 249 minus 224 that is going to be well 9 minus 4 is 5. 4 minus 2 is 2 and 2 minus 2 is 0. so it's 25. now let's bring down the six we can see that 32 goes into 256 eight times with a remainder of zero so therefore 2496 divided by 32 is equal to 78 that's the answer all right let's try another example but with a much larger number so what is 94 000 245 divided by 75 so let's try this problem feel free to work it out yourself so let's make a list 75 plus 75 is 150 and then it's going to be 225 if you add 75 to 150 and 225 plus 75 that's 300 and then it's going to be 375 450 525 600 675 750 and then it's 8 25 900 and 975 i don't think we need to go past 975. so this is one two three four five six seventy-five times seven is 525 that's times eight actually i really don't think you need to go past nine so many times does 75 go into 94 75 goes into 94 one time so now let's subtract what is 94 minus 75 let's do that separately well we can't subtract 4 by 5 because it's going to give us a negative number so we need to do is we need to borrow a 1 from 9 which is going to be 8. and 4 is going to turn into 14. 14 minus 5 is 9 8 minus 7 is one so this is going to give us 19. now let's bring down the two so how many times does 75 go into 192 well three is too much because 225 exceeds 192. so it's going to go into it at least two times 75 times 2 is 150 and 192 minus 150 well 2 minus zero is two nine minus five is four so it's 42. now let's bring down the four so how many times does 75 go into 424 450 is too much 375 is less than it so it's going to go into it at least five times 75 times five is 374. and now let's subtract we need to borrow a one so this is going to be 14 14 minus five is nine and then one minus seven that's not going to work so we gotta borrow a one so it's eleven minus seven that's four so it's going to be 49 now let's bring down the 5. how many times does 75 go into 495 it goes into it at least six times and so it's going to be 495 minus 450 which is 45. now 75 does not go into 45. so we got to bring down a zero 75 goes into 450 six times so the answer is going to be 1256.6 that's the solution let's try a more difficult example let's divide 216 741 by 84. so i'm going to need a lot of space for this one so 84 doesn't go into 21. how many times does 84 go into 216 well before we figure that out let's make a list 84 plus 84 is 168 and 168 plus 84 a plus four is 12 carry over the one eight and six is fourteen plus one that's uh fifteen so this is going to be two hundred and fifty two and now let's add eighty-four again two and four is six five plus eight is thirteen carry over the one that's three hundred and thirty-six and now let's add another 84 to it six and four is ten one plus three is four plus eight that's twelve so this is going to be four twenty now four twenty plus 84 420 plus 80 is 500 plus 4 that's going to be 504. 504 plus 84 that's 588 so now let's add 588 by 84. so a plus 4 is 12 a plus a plus 1 that's 17. so this is going to be 672. now let's add another 84 to it two plus four is six seven plus eight is fifteen and six and one is seven so this will give us 756 and if we add another six and four is ten five and six i mean five and one is six plus eight that's fourteen so this is eight forty and we can stop here because eighty-four times ten is eight forty so once you make a list you could finish the problem regardless of how big this number is but let's write down our numbers 84 times 3 is 252. 84 times 6 is 504 and 84 times 9 is 756. so how many times does 84 go into 216 84 goes into 216 two times 252 exceeds 216. but 168 is the highest number that's less than it so now we need to subtract 216 by 168. so we need to borrow a one so 16 minus eight is eight and we need to borrow another one ten minus six is four and one minus one is zero so this is going to be 48 now let's bring down the seven so how many times does 84 go into 487 so 504 exceeds 487 but 420 is less than it so it goes into it at least five times eighty-four times five is four twenty and now let's subtract seven minus zero is seven eight minus two is six four minus four cancels out so the difference between the two numbers is 67 now let's bring down the four so how many times does 84 go into 674 well 756 is too much but 672 is just under 674. so it goes into it eight times 84 times eight is 672 and the difference between the two numbers is two so now we need to bring down a 1. how many times this 84 go into 21 84 goes into 21 zero times so therefore we need to add another zero and a decimal point once you add a decimal point you need to add it here as well how many times does 84 go into 210 84 goes into 210 two times and two times 84 is 168. so we need to borrow a 1 make this 10. so 8 minus 10 minus 8 is 2. so this is now a 0. we need to borrow 1 make it 10. 10 minus 6 is 4. so 210 minus 168 is 42 now the next thing we need to do before we divide is bring down another zero after you subtract after subtraction you always bring down the next number so how many times does 84 go into 420 it goes into it exactly five times so the remainder is zero so this is the final answer it's 2580.25 if you take your calculator and divide 216 0741 by 84 you're going to get this answer 2580.25 so now you know how to use long division to divide two numbers