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Division Remainders Practice

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Division Remainders Practice worksheet preview
Division Remainders Practice

Division Remainders Practice

Division and remainders illustration

🧮 Part 1: Basic Division with Remainders

1. Solve these division problems using the vertical-column method. Show your working.

a) 127 ÷ 5 = _____ remainder _____

b) 234 ÷ 7 = _____ remainder _____

c) 156 ÷ 4 = _____ remainder _____

2. Circle the correct answer for 83 ÷ 6:

13 remainder 5

14 remainder 1

13 remainder 6

12 remainder 11

🍰 Part 2: Remainders as Fractions

3. Convert these remainders to fractions. Show your working.

a) 47 ÷ 8 = 5 remainder 7

As a mixed number: 5 _____

b) 91 ÷ 6 = 15 remainder 1

As a mixed number: 15 _____

c) 73 ÷ 9 = _____ remainder _____

As a mixed number: _____

4. Which of these fractions correctly represents the remainder in 29 ÷ 4?

7 1/4

7 1/3

6 5/4

7 4/1

📊 Part 3: Remainders as Decimals

5. Convert these division problems to decimal form. Show your working.

a) 85 ÷ 4 = _____

b) 67 ÷ 5 = _____

c) 123 ÷ 8 = _____ (round to 2 decimal places)

6. Match each division problem with its decimal equivalent:
1. 15 ÷ 4
2. 22 ÷ 5
3. 19 ÷ 8
A. 2.375
B. 4.4
C. 3.75

🏪 Part 4: Real-Life Word Problems

7. Sarah has 95 lollies to share equally among 12 friends.

a) How many lollies does each friend get? _____

b) How many lollies are left over? _____

c) Express this as a mixed number: _____

d) Express this as a decimal (round to 2 decimal places): _____

8. A school has 247 students going on a trip. Each bus can hold 35 students.

a) How many buses are needed? _____

b) How many students will be in the last bus? _____

c) Explain your reasoning:

9. A baker has 156 biscuits to pack into boxes of 15.

a) Complete the division: 156 ÷ 15 = _____ remainder _____

b) As a mixed number: _____

c) As a decimal: _____

d) In this context, what does the remainder represent?

🎯 Part 5: Challenge Questions

10. Check all the ways you can correctly represent 89 ÷ 6:

14 remainder 5

14 5/6

14.83 (rounded to 2 decimal places)

15 remainder 1

14.833... (recurring)

11. Create your own word problem that results in a remainder. Then solve it showing the answer as a whole number with remainder, a mixed number, and a decimal.

Your word problem:

Solution:

Answer as whole number with remainder: _____

Answer as mixed number: _____

Answer as decimal: _____

12. Explain in your own words why we might want to express remainders in different ways (fractions, decimals, whole numbers):

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