Mastering Long Division

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📚 Part 1: Multiple Choice

1. What is the correct answer for 658 ÷ 4?

164 remainder 2

165 remainder 2

164 remainder 1

162 remainder 2

2. Before calculating, estimate 945 ÷ 5. Which is the best estimate?

170

180

190

200

3. Put the long division steps in the correct order.

Multiply → Subtract → Divide → Bring down

Divide → Multiply → Subtract → Bring down

Divide → Subtract → Multiply → Bring down

Multiply → Divide → Subtract → Bring down

4. Check all that apply about remainders:

A remainder is always less than the divisor.

A remainder can be shown as a fraction of the divisor.

A remainder becomes the next digit you bring down.

A remainder may be written as a decimal when dividing further.

✏️ Part 2: Short Answers & Working

5. Guided practice: Use long division to work out 732 ÷ 3. Show your steps below.

6. Guided practice: Use long division to work out 945 ÷ 5. Show your steps and then check your answer using inverse multiplication.

7. Independent problem: 1285 ÷ 7. Show your long division working, give the quotient and remainder, and explain what the remainder means in this context (e.g. filling boxes of 7).

8. Extension (challenge): Try 4624 ÷ 12 using long division. Show your steps. Write the answer as a whole-number quotient with remainder, and then write the remainder as a decimal to one place (if you continue dividing).

9. Reflection: In one or two sentences, explain why estimating the quotient before you start dividing helps you avoid errors.