Dividing · Year 7
In Year 7 you learn: dividing large numbers in 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
- 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
1,476 ÷ 6
Answer: 246
Example 2
A carton holds 6 eggs. How many cartons are needed for 80 eggs?
Answer: 14
Example 3
Work out 43 ÷ 5, and give the remainder.
Answer: 8 remainder 3
Example 4
A ribbon 250 cm long is cut into pieces 8 cm long. How many whole pieces can be cut?
Answer: 31 pieces
Example 5
A factory packs 9,630 eggs into boxes of 6. How many boxes does it fill?
Answer: 1,605 boxes
Example 6
Work out 6,354 ÷ 9, and check your answer by multiplying.
Answer: 706