Long division works for any size of number. For 9 768 ÷ 24, divide the first part that is big enough: 97 ÷ 24 = 4, because 4 × 24 = 96. Subtract to get 1 and bring down the 6: 16.
24 does not go into 16, so write 0 in the answer and bring down the 8: 168. 168 ÷ 24 = 7. The answer is 407. Writing the multiples of 24 first saves time: 24, 48, 72, 96, 120, 144, 168.
Worked example
Work out 5 412 ÷ 22
- 54 ÷ 22 = 2 r 10, bring down 1: 101 ÷ 22 = 4 r 13.
- Bring down 2: 132 ÷ 22 = 6.
Answer:246
Key words
- long division
- dividing with written steps
- remainder
- the amount left after each step
- multiple
- the divisor times a whole number
Practise this
New questions every time.
Common Core-referenced: 6.NS.B.2