Grade 4 Long Division: Division with Remainders

Worked examples

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

1. Example 1

   513 ÷ 7 = ?

   1. Use the partial quotients method.
   2. How many 7s can you subtract from 513?
   3. 7 × 50 = 350
   4. 7 × 20 = 140
   5. 7 × 2 = 14
   6. 7 × 1 = 7
   7. Add the quotients: 50 + 20 + 2 + 1 = 73
   8. Remainder: 2
   9. 513 ÷ 7 = 73 R2

   Answer: 73 R2

2. Example 2

   713 ÷ 6 = ?

   1. Use the partial quotients method.
   2. How many 6s can you subtract from 713?
   3. 6 × 100 = 600
   4. 6 × 10 = 60
   5. 6 × 5 = 30
   6. 6 × 2 = 12
   7. 6 × 1 = 6
   8. Add the quotients: 100 + 10 + 5 + 2 + 1 = 118
   9. Remainder: 5
   10. 713 ÷ 6 = 118 R5

   Answer: 118 R5

3. Example 3

   905 ÷ 9 = ?

   1. Use the partial quotients method.
   2. How many 9s can you subtract from 905?
   3. 9 × 100 = 900
   4. Add the quotients: 100 = 100
   5. Remainder: 5
   6. 905 ÷ 9 = 100 R5

   Answer: 100 R5