1. Division Algorithms
By: Jessica Nastasi

2. Tail Division! 3 digit by 1 digit

3. Step 1: Set up the problem5
456

4. Step 2: Multiply the divisor by a number that will get you close to the dividend. Write this on the OUTSIDE. 5
456 80

5. Step 3: Subtract the product from the dividend.5
456 80
-400 56

6. Step 4: Repeat with new amount
Step 4: Repeat with new amount! Keep going until the divisor is greater than the dividend. 5
456 80
-400 56 10 1
- 50 6 -5 1

7. Step 5: Add together the numbers on the side. This is your quotient
Step 5: Add together the numbers on the side. This is your quotient! Whatever is left on the inside is your remainder. 5
456
91 R 1 80
-400 56 10 + 1
- 50 6 91 -5 1

8. Step 6: Check with multiplication
Step 6: Check with multiplication!! This makes sure your answer is correct!

9. Tail Division! 3 digit by 2 digit!

10. Step 1: Set up the problem22
546

11. Step 2: Multiply the divisor by a number that will get you close to the dividend. Write this on the OUTSIDE. 22
546 10
-220
326

12. Step 3: Multiply the divisor by a number that will get you close to the dividend. Write this on the OUTSIDE. 22
546 10
-220
326 10
-220
106

13. Step 4: Multiply the divisor by a number that will get you close to the dividend. Write this on the OUTSIDE. 22
546 10
-220
326 10 4
-220
106
- 88 16

14. Step 5: Add to find your answer!22
24 R 18
546 10
-220
326 10 4
-220
106 + 24
- 88 18

15. Step 6: Check with multiplication
Step 6: Check with multiplication!! This makes sure your answer is correct!

16. Long Division!
2 digit by 1 digit

17. Remember:
Did Mom Serve Brownies Saturday?

18. Step 1: Set up the problem5 96

19. Step 2: Divide the tens: “Did”1 5 96

20. Step 3: Multiply: “Mom” 1 5 96 5

21. Step 4: Subtract: “Serve”1 5 96 5 - 4

22. Step 5: Bring Down: “Brownies”1 5 96 -5 4 6

23. Step 6: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract! 1 9
R 1 5 96 -5 46
-45 1

24. Last: Check with multiplication!! This makes sure your answer is correct!

25. Long Division!
3 digit by 1 digit

26. Step 1: Set up the problem7
895

27. Step 2: Divide the hundreds: “Does”1 7
895

28. Step 3: Multiply: “Mom” 1 7
895 7

29. Step 4: Subtract: “Serve”1 7
895 7 - 1

30. Step 5: Bring Down: “Brownies”1 7
895 -7 1 9

31. Step 6: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract, Bring Down 1 2 7
895 -7 1 9
-14 5 5

32. Step 7: Start Again with the New Number! “Saturday”
Divide, Multiply, Subtract 1 2 7 7
895
R 6 -7 1 9
-14 5 5
-49 6

33. Last: Check with multiplication!! This makes sure your answer is correct!

34. Long Division! Zeros in the Quotient
3 digit by 1 digit

35. Step 1: Set up the problem5
496

36. 5 496 Step 2: Divide the hundreds: “Did”
If it is not divisible, move over! 5
496

37. Step 3: Multiply: “Mom” 9 5
496 45

38. Step 4: Subtract “Serve”9 5
496 45 - 4

39. Step 5: Bring Down “Brownies”9 5
496
-45 4 6

40. Step 6: Start Again! “Saturday”9 9 5
496
-45 4 6
-45 1

41. Last: Check with multiplication!! This makes sure your answer is correct!