1. Division of a two digit-number by a one digit number Make four equal groups from 32: 32 = 30 + 2 Decompose 10 Can not group it into 4 parts. 32  4

2. Make four equal groups from 32: 32  4 32 = 30 + 2 Decompose 10 Can not group it into 4 parts. 555555 Further decompose

3. Make four equal groups from 32: 32  4 32 = 5555552

4. Make four equal groups from 32: 32  4 32 = 5555552

5. Make four equal groups from 32: 32  4 32 = 5 555552

6. Make four equal groups from 32: 32  4 32 = 55 55552

7. Make four equal groups from 32: 32  4 32 = 555 5552

8. Make four equal groups from 32: 32  4 32 = 5555 552

9. Make four equal groups from 32: 32  4 32 = 5555 552

10. Make four equal groups from 32: 32  4 32 = 5555 552 221221 Decompose

11. Make four equal groups from 32: 32  4 32 = 5555 2221221

12. Make four equal groups from 32: 32  4 32 = 5555 2 2 21221

13. Make four equal groups from 32: 32  4 32 = 5555 2 22 1221

14. Make four equal groups from 32: 32  4 32 = 5555 2 22 1 2 21

15. Make four equal groups from 32: 32  4 32 = 5555 2 22 1 22 1

16. Make four equal groups from 32: 32  4 32 = 5555 2 22 1 22 1

17. Make four equal groups from 32: 32  4 32 = 5555 2 22 1 22 1 11 Decompose

18. Make four equal groups from 32: 32  4 32 = 5555 22 1 22 111

19. Make four equal groups from 32: 32  4 32 = 5555 22 1 22 111

20. Make four equal groups from 32: 32  4 32 = 5555 22 1 22 1 11

21. Make four equal groups from 32: 32  4 32 = 5555 22 1 22 11 1

22. Make four equal groups from 32: 32  4 32 = 5555 22 1 22 111

23. Make four equal groups from 32: 32  4 32 = 5555 22 1 22 111 8 8

24. Make four equal groups from 32: 32  4 32 : (30 + 2)  4 30  4 = 7, R 2 = 7 + (2  4)

25. Make four equal groups from 32: 32  4 32 : (30 + 2)  4 30  4 = 7, R 2 = 7 + (2  4) 2  4 = R 2 = (2  4)

26. Make four equal groups from 32: 32  4 32 : (30 + 2)  4 30  4 = 7 + (2  4) 2  4 = (2  4) 32  4 = 7 + (2  4) + (2  4) = 7 + [(2+2)  4]

27. Make four equal groups from 32: 32  4 32 : (30 + 2)  4 32  4 = 7 + [(2+2)  4] = 7 + [4  4] = 7 + 1 = 8

28. Long Division Procedure: 623  7 7 6 2 37 6 0 07 2 07 3 ++ = Divide a number from the left (100’s). Any remainder will be added to the next right position (10’s). Divide the number. Any remainder will be added to the next right position (1’s). Divide the Number.

29. Computation of the answer is quick. Grouping a large number, and adding the remainder to the smaller number is systematic and easy. Making estimate starts with working with the digit on the left (biggest place value). Advantage:

30. Takes a long time to reach the answer. The method will fail in Algebra to determine series! Frustrating to solve complex word problems in a reasonable amount of time. Disadvantage with the alternative method, such as Everyday Math