Long Division: Dividing by a 1-Digit Number | A Step-By-Step Review | Math with Mr. J

[Music] welcome to math with mr j [Music] in this video i'm going to go through a quick review of division and we're specifically going to be working with one digit divisors meaning we're going to be dividing by one digit numbers if it's been a while and you need a quick refresher this should be helpful whether you're in middle school high school college continuing your education as an adult or maybe you just learned this recently really no matter what your situation is here are a couple of examples to help you out everyone needs a refresher from time to time let's jump into number one where we have 820 divided by five now the first thing that we're going to do we're going to rewrite this problem 820 is the number being divided so it's going to go under the division bar the number being divided is called the dividend so 820 is our dividend for number one and we can put it under our division bar now we're dividing by five the number we divide by is called the divisor so we have 5 on the outside and now we're ready to go through our steps divide multiply subtract bring down repeat so we start with divide we're going to do eight divided by five so how many whole groups of five are in eight one so that goes above our eight then we multiply so we multiply one times five which is five and now we subtract so we do eight minus five which is three and now we're ready to bring down our next digit which is going to be the two so let's bring this down and now we repeat so we start over with divide we have 32 divided by 5. so how many whole groups of 5 are in 32 well 6 that gets us to 30. so we put our six up here and we come around and multiply so six times five is thirty we subtract 32 minus 30 is 2 and then we bring down our next digit which is that zero so we have 20. now we repeat so we go back to divide so 20 divided by five how many whole groups of five in 20 well four that hits 20 exactly so we put 4 up here come around and multiply again so we have 4 times 5 which is twenty subtract and we have zero so our answer is one hundred sixty four we know we're done because we went all the way over to the ones place and we do not have anything else to bring down we do not have a remainder so this worked out perfectly so to speak 820 divided by 5 equals 164. let's move on to number two where we have 6542 divided by eight so let's set this up six thousand five hundred forty-two divided by 8. so we'll start with divide we have 6 divided by 8. how many whole groups of 8 can we pull out of 6 well we can't do that we don't have any whole groups of eight out of six so we need to take a look at the next digit over and combine that six and five to make a two-digit number so we're looking at sixty-five how many whole groups of eight are in 65 well eight that gets us to 64. so 65 divided by 8 is going to be 8 and that 8 needs to go above the 65. not the six now we multiply and i'm going to do this without drawing the arrows for number two here so we have eight times eight is sixty-four subtract 65 minus 64 is one then we bring down the four and we have 14. so we repeat we have 14 divided by eight how many whole groups of eight are in fourteen well one then we multiply one times eight is eight subtract fourteen minus eight is six and bring down our two so now we have 62 divided by eight we repeat so how many whole groups of eight can we pull out of 62 how many whole groups of eight are in 62 well 8 times 7 is going to be 56 and then 8 times 8 is 64. we don't quite have enough for 8 it's going to be 7 which gets us to 56. so let's write our 7 multiply 7 times 8 56 subtract we get 6. now we went all the way over to the ones place so we do not have any more digits to bring down we are done this one did not work out perfectly like number one we have a remainder something left over so that's six is our remainder the final answer 817 remainder 6. so there you have it there's a quick review of division and specifically one digit divisor so we were dividing by one digit numbers i hope that helped thanks so much for watching until next time peace you