Long division is a method for dividing one number by another. It involves repeatedly subtracting the divisor from the dividend. The key steps are: (1) divide - determine how many times the divisor goes into the first digit of the dividend; (2) multiply - multiply the divisor by the answer; (3) subtract - subtract the product from the dividend; (4) bring down - bring down the next digit if there are any remaining; (5) repeat steps 1-4 or take the remainder. For example, in the long division problem 56/5, the steps are followed to get an answer of 11 with a remainder of 1.

2. Long Division

3. Important Terms:

4. Dividend- The number that is being divided ___6 3 ) 18 The dividend is 18.

5. Divisor - The number that divides the dividend ___6 3 ) 18 The divisor is 3.

6. Quotient- The answer in a division problem ___6 3 ) 18 The quotient is 6.

7. How To Do Long Division…

8. To remember the steps of long division, ask yourself this question… Do Monkeys Stop Being Rowdy? D = Divide M = Multiply S = Subtract B = Bring down R = Repeat or Remainder

9. Let’s try this problem… ______ 5 ) 5 6 5

10. Step 1 - Divide We decide how many times 5will go into 5 (what number times 5= 5?) __1___ 5 ) 5 6 5 It will go 1 time>>>>>>> **Write your answer OVER the line OVER the 1st digit

11. Step 2 - Multiply We multiply 5x 1. . __1___ 5 ) 5 6 5 5 5 x 1 = >>>>>>> **Write your answer UNDER the 1st digit

12. Step 3 - Subtract We subtract 5 from 5. . __1___ 5 ) 5 6 5 - 5 0

13. Step 4 – Bring Down We BRING DOWN the next digit. . __1________ 5 ) 5 6 5 - 5 0 6

14. Step 5 – Repeat or Remainder? The next step is to Repeat. We go back to step one and start over. **When there are no more numbers in the dividend to bring down, then the left over number becomes our Remainder

15. Step 1 - Divide We decide how many times 5will go into 6 _ 1 1__ 5 ) 5 6 5 - 5__ 0 6 It will go 1 time>>>>>>> **Write your answer OVER the line OVER the 2nd digit

16. Step 2 - Multiply We multiply 5x 1. . _1 1__ 5 ) 5 6 5 - 5__ 0 6 0 5 5 x 1 = >>>>>>> **Write your answer UNDER the 1st and 2nd digits

17. Step 3 - Subtract We subtract 5 from 6. . _1 1__ 5 ) 5 6 5 - 5__ 06 - 0 5 1

18. Step 4 – Bring Down We BRING DOWN the next digit. . _1 1__ 5 ) 5 6 5 - 5__ 0 6 - 0 5__ 1 5

19. Step 5 – Repeat or Remainder? The next step is to Repeat. We go back to step one and start over. **Remember… When there are no more numbers in the dividend to bring down, then the left over number becomes our Remainder

20. Step 1 - Divide We decide how many times 5will go into 15 (what number times 5 = 15?) _ 1 1 3_ 5 ) 5 6 5 - 5__ 0 6 - 0 5__ 15 It will go 3 times>>>>>>> **Write your answer OVER the line OVER the 3rd digit

21. Step 2 - Multiply We multiply 5x 3. . 1 1 3_ 5 ) 5 6 5 - 5__ 0 6 - 0 5__ 15 1 5 5 x 3 = >>>>>>> **Write your answer UNDER the 2nd and 3rd digits

22. Step 3 - Subtract We subtract 15 from 15. . 1 1 3_ 5 ) 5 6 5 - 5__ 0 6 - 0 5__ 15 - 1 5 0

23. Step 4 – Bring Down We BRING DOWN the next digit. . _1 1 3_ 5 ) 5 6 5 - 5__ 0 6 - 0 5__ 15 - 1 5 0 WAIT!!!!!!!

24. There Are No More Digits To Bring Down… So…

25. Step 5 –Remainder When there are no more numbers in the dividend to bring down, then the left over number becomes our Remainder 1 1 3 R 0 5 ) 5 6 5 - 5__ 0 6 - 0 5__ 1 5 - 1 5 0 <<< this is our remainder

26. I guess those Darn Monkeys won’t Stop Being Rowdy!!!!!

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