Grade 4 Long Division: Zeros in Quotient

Worked examples

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

1. Example 1

   638 ÷ 6 = ?

   1. Use the partial quotients method.
   2. How many 6s can you subtract from 638?
   3. 6 × 100 = 600
   4. 6 × 5 = 30
   5. 6 × 1 = 6
   6. Add the quotients: 100 + 5 + 1 = 106
   7. Remainder: 2
   8. 638 ÷ 6 = 106 R2

   Answer: 106 R2

2. Example 2

   744 ÷ 7 = ?

   1. Use the partial quotients method.
   2. How many 7s can you subtract from 744?
   3. 7 × 100 = 700
   4. 7 × 5 = 35
   5. 7 × 1 = 7
   6. Add the quotients: 100 + 5 + 1 = 106
   7. Remainder: 2
   8. 744 ÷ 7 = 106 R2

   Answer: 106 R2

3. Example 3

   519 ÷ 5 = ?

   1. Use the partial quotients method.
   2. How many 5s can you subtract from 519?
   3. 5 × 100 = 500
   4. 5 × 2 = 10
   5. 5 × 1 = 5
   6. Add the quotients: 100 + 2 + 1 = 103
   7. Remainder: 4
   8. 519 ÷ 5 = 103 R4

   Answer: 103 R4