Long Division DMSB Grade 4

long division is step-by-step method for dividing the multi-digit numbers it involves four basic steps divide multiply subtract and bring down and then repeating the process use the acronym dmsb which stands for divide multiply subtract and bring down it is an easy way to remember the steps of long division use any of these dirty monkeys smell bad dad mom sister brother or does McDonald's sell burgers let's divide 768 by 3. to begin ask how many times three goes into 7. that is what's 7 divided by three the answer is 2 with little left over so write 2 directly above the seven now multiply 3 by 2 to get six place the product directly below the seven and draw line beneath it subtract 6 from 7 to get one after you subtract the result should be less than the divisor in this problem the divisor is three three is greater than one so it's okay then bring down the next number six to make the new number 16. now ask how many times three goes into sixteen that is what's 16 divided by 3. the answer is 5 with the remainder so write 5 above the 6. then multiply three by five to get fifteen write the product under 16. subtract 15 from 16 to get 1. after you subtract the result should be less than the divisor 1 is less than three so it's okay then bring down the next number eight to make the new number 18. another cycle is complete so begin the next cycle by asking how many times three goes into eighteen that is what's 18 divided by three the answer this time is six write down six above the eight multiply three by six and place this below the eighteen now subtract eighteen from eighteen to get zero because you have no more numbers to bring down you are finished and the answer is 256. let's try another example divide four thousand three hundred fifty one by six to begin ask how many times 6 goes into four none that's because the first digit taken by itself is less than the divisor four is less than six write zero or just leave space above the four let's group the four and the three together now ask how many times six goes into forty three that is what's 43 divided by 6 the answer is 7 with little left over so write 7 directly above the three now multiply 6 by 7 to get 42. place the product directly below the 43 and draw line beneath it subtract 42 from 43 to get one after you subtract the result should be less than the divisor one is less than six so it's okay then bring down the next number five to make the new number 15. now ask how many times six goes into fifteen that is what's 15 divided by 6 the answer is 2 with the remainder so write the two above the 5 and then multiply 6 by 2 to get twelve write the product under 15. subtract 12 from 15 to get three after you subtract the results should be less than the divisor three is less than six so it's okay then bring down the next number one to make the new number 31 another cycle is complete so begin the next cycle by asking how many times six goes into 31. that is what's 31 divided by 6. the answer is 5 with the remainder so write the 5 above the 1 and then multiply 6 by 5 to get Thirty write the product under 31. now subtract 30 from 31 to get one you have no more numbers to bring down one is the remainder you are finished the answer is 725 with remainder of 1. if you like this video please leave like for more videos like this please subscribe