Grade 5 Long Division: 3-Digit Dividends

Worked examples

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

1. Example 1

   238 ÷ 64 = ?

   1. Start with 238, the first part of 238 that is at least 64.
   2. 238 ÷ 64: 64 × 3 = 192 (64 × 4 = 256 is too big). Write 3. 238 − 192 = 46.
   3. 238 ÷ 64 = 3 R46
   4. Check: 3 × 64 + 46 = 238

   Answer: 3 R46

2. Example 2

   990 ÷ 44 = ?

   1. Start with 99, the first part of 990 that is at least 44.
   2. 99 ÷ 44: 44 × 2 = 88 (44 × 3 = 132 is too big). Write 2. 99 − 88 = 11. Bring down the 0 to make 110.
   3. 110 ÷ 44: 44 × 2 = 88 (44 × 3 = 132 is too big). Write 2. 110 − 88 = 22.
   4. 990 ÷ 44 = 22 R22
   5. Check: 22 × 44 + 22 = 990

   Answer: 22 R22

3. Example 3

   441 ÷ 68 = ?

   1. Start with 441, the first part of 441 that is at least 68.
   2. 441 ÷ 68: 68 × 6 = 408 (68 × 7 = 476 is too big). Write 6. 441 − 408 = 33.
   3. 441 ÷ 68 = 6 R33
   4. Check: 6 × 68 + 33 = 441

   Answer: 6 R33