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Division with Remainders
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Division with Remainders
Show your working. Give whole-number answers as a quotient and remainder where asked. For decimal answers, round to the place value stated.
Quotients and remainders
Work out each division.
1.Calculate 94 ÷ 7. Write your answer as a whole-number quotient and a remainder.
2.Calculate 213 ÷ 8. Write your answer as a whole-number quotient and a remainder.
3.Calculate 185 ÷ 6. Write your answer as a whole-number quotient and a remainder.
4.Calculate 302 ÷ 9. Write your answer as a whole-number quotient and a remainder.
Remainders as fractions and decimals
A remainder can be written as a fraction of the divisor. It can also be converted to a decimal.
5.Write 58 ÷ 5 as a mixed number. Use the remainder as the numerator and the divisor as the denominator.
6.Write 101 ÷ 6 as a mixed number. Simplify the fractional part if possible.
7.Choose the mixed number equal to 86 ÷ 7.
- 12 2/7
- 12 7/2
- 11 2/7
- 12 1/7
8.Convert 75 ÷ 4 to a decimal. Round to 2 decimal places.
9.Convert 92 ÷ 7 to a decimal. Round to 2 decimal places.
10.At a cooking class, Mei and Ari divide 98 dumplings equally among 6 serving plates. How many dumplings go on each plate, and how many are left over?
11.Aisha has 173 mini muffins to pack into trays that hold 8 muffins each. How many full trays can she fill, and how many muffins will remain?
12.A cooking class makes 137 scones. Each box holds 6 scones. How many boxes are needed to pack every scone?
13.A 125-litre batch of soup is shared equally among 8 large containers. Give the amount in each container as a mixed number and as a decimal, rounded to 3 decimal places.
14.Match each division calculation to its mixed-number answer: 119 ÷ 5, 98 ÷ 4, and 83 ÷ 3. Options: A) 27 2/3; B) 23 4/5; C) 24 1/2.
- 119 ÷ 5
- 98 ÷ 4
- 83 ÷ 3
- C) 24 1/2
- A) 27 2/3
- B) 23 4/5
15.A kitchen has 1,364 crackers to arrange in packets of 12. Find the number of full packets and the number of crackers left. Then write 1,364 ÷ 12 as a mixed number and as a decimal rounded to 3 decimal places.
16.When might a remainder mean that you need one more whole item, rather than leaving the remainder unused? Give one example and explain.
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