Dividing · Year 6
In Year 6 you get fluent with: short division and remainders in word problems.
Dividing shares a number into equal groups, or finds how many equal groups fit. For bigger numbers we use short division, and what to do with a remainder depends on the question.
Key facts
- To divide a 2-digit number, split it into parts the divisor goes into: 72 ÷ 3 = 60 ÷ 3 + 12 ÷ 3 = 24.
- Short division: divide each digit from the left, carrying the remainder to the next digit.
- Remainders: round up when everything must fit (buses, boxes); round down when only whole ones count (pieces, packs).
- Check a division by multiplying back: quotient × divisor + remainder = number.
Worked examples
Example 1
Work out 72 ÷ 3.
Answer: 24
Example 2
1,476 ÷ 6
Answer: 246
Example 3
A carton holds 6 eggs. How many cartons are needed for 80 eggs?
Answer: 14
Example 4
Work out 43 ÷ 5, and give the remainder.
Answer: 8 remainder 3
Example 5
A ribbon 250 cm long is cut into pieces 8 cm long. How many whole pieces can be cut?
Answer: 31 pieces