Step-by-step Maths Level 5: Sharing equally, with pounds and remainders
Part of the Step-by-step Maths Level 5 short division with remainders chapter. Chapter overview · whole chapter on one page
Sharing equally, with pounds and remainders
When money is shared equally, each person gets the same whole amount. Any money left over is the remainder.
Keep the pound sign with each amount when you write the answer.
Key ideas
- Share the whole amount first.
- The remainder is the amount left over.
- Give both parts when the question asks for both.
Method. Share the whole pounds first; the remainder is what is left over.
- Share the money into equal amounts. Each person gets the same whole pounds.£58 ÷ 4 = 14 remainder 2
- Read the remainder. The remainder is the money left over.£2 left over
- Write the answer. Give the amount each and the amount left.£14 each, £2 left over
Check. Check: 14 × 4 + 2 = 58.
Watch out. Keep the pound sign with each amount.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.47 ÷ 5 = 9 remainder 2
- Read the answer and the remainder. The whole number is each share; the remainder is left over.9 each and 2 left over
- Write the answer. Give both parts, as the question asks.9 each, 2 left over
Check. Check: 9 × 5 + 2 = 47.
Watch out. The remainder is not shared. Say how many are left.
Method. Round down when the remainder cannot make another full group.
- Divide to find the full bags. Each full bag takes the number of sweets in it.47 ÷ 5 = 9 remainder 2
- Decide what the remainder means. The sweets left over do not make a full bag, so round down.2 sweets are left over
- Write the answer. Only full bags count.9 full bags
Check. Check: 9 full bags hold 45 sweets, and 47 - 45 = 2.
Watch out. Round down when only full groups are wanted.
Watch out
Watch out. Do not share the remainder. It is the amount left, not an extra share.
Exam tip
Grown-up tip. Use coins or counters. Share them into equal piles, and count what is left on the table.
Exercise 5E Practice: sharing money and problems
Non-calculatorMethod. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.70 ÷ 5 = 14
- Read the answer and the remainder. The whole number is each share; the remainder is left over.14 each and 0 left over
- Write the answer. Give both parts, as the question asks.14 each, none left over
Check. Check: 14 × 5 + 0 = 70.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole pounds first; the remainder is what is left over.
- Share the money into equal amounts. Each person gets the same whole pounds.£52 ÷ 7 = 7 remainder 3
- Read the remainder. The remainder is the money left over.£3 left over
- Write the answer. Give the amount each and the amount left.£7 each, £3 left over
Check. Check: 7 × 7 + 3 = 52.
Watch out. Keep the pound sign with each amount.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.85 ÷ 8 = 10 remainder 5
- Read the answer and the remainder. The whole number is each share; the remainder is left over.10 each and 5 left over
- Write the answer. Give both parts, as the question asks.10 each, 5 left over
Check. Check: 10 × 8 + 5 = 85.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.18 ÷ 9 = 2
- Read the answer and the remainder. The whole number is each share; the remainder is left over.2 each and 0 left over
- Write the answer. Give both parts, as the question asks.2 each, none left over
Check. Check: 2 × 9 + 0 = 18.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.79 ÷ 4 = 19 remainder 3
- Read the answer and the remainder. The whole number is each share; the remainder is left over.19 each and 3 left over
- Write the answer. Give both parts, as the question asks.19 each, 3 left over
Check. Check: 19 × 4 + 3 = 79.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.59 ÷ 3 = 19 remainder 2
- Read the answer and the remainder. The whole number is each share; the remainder is left over.19 each and 2 left over
- Write the answer. Give both parts, as the question asks.19 each, 2 left over
Check. Check: 19 × 3 + 2 = 59.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.29 ÷ 9 = 3 remainder 2
- Read the answer and the remainder. The whole number is each share; the remainder is left over.3 each and 2 left over
- Write the answer. Give both parts, as the question asks.3 each, 2 left over
Check. Check: 3 × 9 + 2 = 29.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.28 ÷ 5 = 5 remainder 3
- Read the answer and the remainder. The whole number is each share; the remainder is left over.5 each and 3 left over
- Write the answer. Give both parts, as the question asks.5 each, 3 left over
Check. Check: 5 × 5 + 3 = 28.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole pounds first; the remainder is what is left over.
- Share the money into equal amounts. Each person gets the same whole pounds.£94 ÷ 9 = 10 remainder 4
- Read the remainder. The remainder is the money left over.£4 left over
- Write the answer. Give the amount each and the amount left.£10 each, £4 left over
Check. Check: 10 × 9 + 4 = 94.
Watch out. Keep the pound sign with each amount.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.76 ÷ 5 = 15 remainder 1
- Read the answer and the remainder. The whole number is each share; the remainder is left over.15 each and 1 left over
- Write the answer. Give both parts, as the question asks.15 each, 1 left over
Check. Check: 15 × 5 + 1 = 76.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.24 ÷ 9 = 2 remainder 6
- Read the answer and the remainder. The whole number is each share; the remainder is left over.2 each and 6 left over
- Write the answer. Give both parts, as the question asks.2 each, 6 left over
Check. Check: 2 × 9 + 6 = 24.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole pounds first; the remainder is what is left over.
- Share the money into equal amounts. Each person gets the same whole pounds.£12 ÷ 8 = 1 remainder 4
- Read the remainder. The remainder is the money left over.£4 left over
- Write the answer. Give the amount each and the amount left.£1 each, £4 left over
Check. Check: 1 × 8 + 4 = 12.
Watch out. Keep the pound sign with each amount.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.94 ÷ 3 = 31 remainder 1
- Read the answer and the remainder. The whole number is each share; the remainder is left over.31 each and 1 left over
- Write the answer. Give both parts, as the question asks.31 each, 1 left over
Check. Check: 31 × 3 + 1 = 94.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.20 ÷ 6 = 3 remainder 2
- Read the answer and the remainder. The whole number is each share; the remainder is left over.3 each and 2 left over
- Write the answer. Give both parts, as the question asks.3 each, 2 left over
Check. Check: 3 × 6 + 2 = 20.
Watch out. The remainder is not shared. Say how many are left.
Method. Share the whole pounds first; the remainder is what is left over.
- Share the money into equal amounts. Each person gets the same whole pounds.£79 ÷ 3 = 26 remainder 1
- Read the remainder. The remainder is the money left over.£1 left over
- Write the answer. Give the amount each and the amount left.£26 each, £1 left over
Check. Check: 26 × 3 + 1 = 79.
Watch out. Keep the pound sign with each amount.
Method. Share the whole number first; the remainder is what is left over.
- Share the pencils into equal groups. Each child gets the same number.76 ÷ 4 = 19
- Read the answer and the remainder. The whole number is each share; the remainder is left over.19 each and 0 left over
- Write the answer. Give both parts, as the question asks.19 each, none left over
Check. Check: 19 × 4 + 0 = 76.
Watch out. The remainder is not shared. Say how many are left.