operations · Year 5 · AC9M5N07
Division with remainders
Sometimes a number doesn't share equally. 23 ÷ 5: the most fives that fit is four (4 × 5 = 20), and 3 are left over. We write this as 4 remainder 3, or '4 r 3'. The remainder is always smaller than the divisor — if it isn't, another group fits.
Sample questions
9 ÷ 2 = ? (give the remainder)
- 2 × 4 = 8, which is the most 2s that fit into 9.
- 9 − 8 = 1 left over.
- So 9 ÷ 2 = 4 r 1.
Answer: 4 r 1
14 ÷ 4 = ? (give the remainder)
- 4 × 3 = 12, which is the most 4s that fit into 14.
- 14 − 12 = 2 left over.
- So 14 ÷ 4 = 3 r 2.
Answer: 3 r 2
17 ÷ 3 = ? (give the remainder)
- 3 × 5 = 15, which is the most 3s that fit into 17.
- 17 − 15 = 2 left over.
- So 17 ÷ 3 = 5 r 2.
Answer: 5 r 2