operations · Year 6 · Suggested learning sequence
Long division by a two-digit number
Long division repeats four steps: divide, multiply, subtract, bring down. First write some multiples of the divisor to help. Find how many times the divisor fits into the first part of the number, write that digit above, multiply and subtract. Bring down the next digit beside what is left and repeat. If the divisor doesn't fit, write 0. What is left at the end is the remainder.
Sample questions
228 ÷ 19 = ? Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171.
- Multiples of 19: 19, 38, 57, 76, 95, 114, 133, 152, 171.
- 22 ÷ 19 = 1 r 3; bring down to make 38: 38 ÷ 19 = 2.
- 228 ÷ 19 = 12.
Answer: 12
476 ÷ 17 = ? Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153.
- Multiples of 17: 17, 34, 51, 68, 85, 102, 119, 136, 153.
- 47 ÷ 17 = 2 r 13; bring down to make 136: 136 ÷ 17 = 8.
- 476 ÷ 17 = 28.
Answer: 28
435 ÷ 15 = ? Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135.
- Multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135.
- 43 ÷ 15 = 2 r 13; bring down to make 135: 135 ÷ 15 = 9.
- 435 ÷ 15 = 29.
Answer: 29