Grade 4 Long Division: Unit Review

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   864 ÷ 9 = ?

   1. Use the partial quotients method.
   2. How many 9s can you subtract from 864?
   3. 9 × 50 = 450
   4. 9 × 20 = 180
   5. 9 × 20 = 180
   6. 9 × 5 = 45
   7. 9 × 1 = 9
   8. Add the quotients: 50 + 20 + 20 + 5 + 1 = 96
   9. 864 ÷ 9 = 96

   Answer: 96

2. Example 2

   301 ÷ 7 = ?

   1. Use the partial quotients method.
   2. How many 7s can you subtract from 301?
   3. 7 × 20 = 140
   4. 7 × 20 = 140
   5. 7 × 2 = 14
   6. 7 × 1 = 7
   7. Add the quotients: 20 + 20 + 2 + 1 = 43
   8. 301 ÷ 7 = 43

   Answer: 43

3. Example 3

   8810 ÷ 5 = ?

   1. Use the partial quotients method.
   2. How many 5s can you subtract from 8810?
   3. 5 × 100 = 500
   4. 5 × 100 = 500
   5. 5 × 100 = 500
   6. 5 × 100 = 500
   7. 5 × 100 = 500
   8. 5 × 100 = 500
   9. 5 × 100 = 500
   10. 5 × 100 = 500
   11. 5 × 100 = 500
   12. 5 × 100 = 500
   13. 5 × 100 = 500
   14. 5 × 100 = 500
   15. 5 × 100 = 500
   16. 5 × 100 = 500
   17. 5 × 100 = 500
   18. 5 × 100 = 500
   19. 5 × 100 = 500
   20. 5 × 50 = 250
   21. 5 × 10 = 50
   22. 5 × 2 = 10
   23. Add the quotients: 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 50 + 10 + 2 = 1762
   24. 8810 ÷ 5 = 1762

   Answer: 1762