Grade 4 Long Division: 4-Digit by 1-Digit

Worked examples

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

1. Example 1

   1761 ÷ 8 = ?

   1. Use the partial quotients method.
   2. How many 8s can you subtract from 1761?
   3. 8 × 100 = 800
   4. 8 × 100 = 800
   5. 8 × 20 = 160
   6. Add the quotients: 100 + 100 + 20 = 220
   7. Remainder: 1
   8. 1761 ÷ 8 = 220 R1

   Answer: 220 R1

2. Example 2

   2957 ÷ 3 = ?

   1. Use the partial quotients method.
   2. How many 3s can you subtract from 2957?
   3. 3 × 100 = 300
   4. 3 × 100 = 300
   5. 3 × 100 = 300
   6. 3 × 100 = 300
   7. 3 × 100 = 300
   8. 3 × 100 = 300
   9. 3 × 100 = 300
   10. 3 × 100 = 300
   11. 3 × 100 = 300
   12. 3 × 50 = 150
   13. 3 × 20 = 60
   14. 3 × 10 = 30
   15. 3 × 5 = 15
   16. Add the quotients: 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 100 + 50 + 20 + 10 + 5 = 985
   17. Remainder: 2
   18. 2957 ÷ 3 = 985 R2

   Answer: 985 R2

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