Study GuideYear 4Level 2 · Standard

Free Year 4 Written Methods for Multiplication and Division

Walks Year 4 students through short multiplication (two- and three-digit numbers times a one-digit number) and short division, including what to do with remainders. Every example is checked with an estimate or the inverse operation, and a table shows how to interpret remainders in word problems.

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Year: Year 4
Subject: Mathematics
Topic: Division
Difficulty: Level 2 · Standard
Estimated time: 20 minutes
Curriculum: Australian Curriculum
Answers: Not applicable
Format: PDF (A4) + print

Students will practise

understanding the short multiplication method with carrying
understanding the short division method, including carrying a remainder to the next digit
checking multiplication and division answers using estimation and inverse operations
interpreting remainders sensibly in word problems

Curriculum: Australian Curriculum. We show specific outcome codes only where they have been verified against the official curriculum document.

What's next?

Completed: Written Methods for Multiplication and Division

Study guide

How to use this study guide

Read it together first, pausing at each worked example to try the step before reading the answer.
Attempt the "Check yourself" questions at the end without looking back.
Then practise with a worksheet from the pathway above and finish with the topic test.

Common questions

Who is this study guide for?

Year 4 students (typically ages 9–10) working on division. It is pitched at level 2 · standard.

Are the answers included?

This is a study guide, so there is no separate answer sheet; the 'Check yourself' questions include answers.

How long does it take?

About 20 minutes. Short, regular sessions work best: two or three a week beats one long one.

Do I need to sign up to download?

No. Click Download Free PDF and it opens immediately. It is free for personal, classroom and homeschool use.

What should we do next?

Try Year 4 Division Worksheet — Level 2.

Year 4 · Mathematics · Division

Written Methods for Multiplication and Division

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What you need to know

By Year 4 you need written methods that work for any numbers, not just the ones you can do in your head. For multiplying we use short multiplication (working in columns and carrying) and for dividing we use short division (sometimes called the bus-stop method). Both rely on knowing your times tables to 10 × 10, so keep those sharp.

Short multiplication. Line the numbers up in columns. Multiply the ones digit first, then the tens, then the hundreds. If a product is 10 or more, write the ones digit and carry the tens digit to the next column, where you add it on after multiplying.

46 × 3

Write 46 with 3 underneath, lined up in the ones column.
Multiply the ones: 6 × 3 = 18. Write 8 and carry 1 (ten).
Multiply the tens: 4 × 3 = 12, then add the carried 1 to make 13. Write 13.
Answer: 46 × 3 = 138.
Estimate to check: 46 is close to 50, and 50 × 3 = 150. 138 is close, so it is sensible.

237 × 4

Ones: 7 × 4 = 28. Write 8, carry 2.
Tens: 3 × 4 = 12, plus the carried 2 = 14. Write 4, carry 1.
Hundreds: 2 × 4 = 8, plus the carried 1 = 9. Write 9.
Answer: 237 × 4 = 948. Estimate: 240 × 4 = 960, so 948 is sensible.

Short division. Write the number you are dividing by (the divisor) outside the bus stop and the number being divided inside. Work from the left, one digit at a time, asking how many times the divisor fits. Write the answer on top. Any amount left over is carried to the front of the next digit.

95 ÷ 4

4 into 9 goes 2 times (2 × 4 = 8) with 1 left over. Write 2 above the 9 and carry the 1 to make 15.
4 into 15 goes 3 times (3 × 4 = 12) with 3 left over. Write 3 above the 5.
Answer: 95 ÷ 4 = 23 remainder 3.
Check with multiplication: 23 × 4 = 92, and 92 + 3 = 95.

138 ÷ 6

6 into 1 does not go, so look at the first two digits: 6 into 13 goes 2 times (12) with 1 left over. Write 2 above the 3 and carry the 1 to make 18.
6 into 18 goes exactly 3 times. Write 3 above the 8.
Answer: 138 ÷ 6 = 23.
Check: 23 × 6 = 138.

Problem	Calculation	Sensible answer
26 pencils are shared equally among 4 students. How many does each student get?	26 ÷ 4 = 6 r 2	6 pencils each (2 left over)
26 students travel 4 to a car. How many cars are needed?	26 ÷ 4 = 6 r 2	7 cars (the 2 extra students still need a car)
$26 is shared equally between 4 people. How much each?	26 ÷ 4 = 6.5	$6.50 each

Common mistake: in short multiplication, adding the carried digit before multiplying. In 46 × 3 the tens column is (4 × 3) + 1 = 13, not (4 + 1) × 3 = 15. Multiply first, then add the carry.

Common mistake: in short division, skipping a zero. For 612 ÷ 3: 3 into 6 goes 2; 3 into 1 goes 0 (write the 0 and carry the 1); 3 into 12 goes 4. The answer is 204, not 24. Check: 204 × 3 = 612.

Check yourself

38 × 4 = ?
125 × 6 = ?
96 ÷ 3 = ?
87 ÷ 5 = ? (give the remainder)
156 ÷ 4 = ?
29 people are seated at tables of 6. How many tables are needed?

Answers: 1. 152 2. 750 3. 32 4. 17 remainder 2 (17 × 5 = 85, 85 + 2 = 87) 5. 39 6. 5 tables (29 ÷ 6 = 4 r 5, and the 5 extra people need another table)

Preview — the PDF contains the full resource.

Worksheet
Year 4 Division Worksheet — Level 2
Division facts, division with remainders and short division. Expected-level practice for this year group. This Year 4 worksheet has 12…
Difficulty
Level 2 · Standard
Time
15 min
Questions
12 questions
Answers
Answers included
Worksheet
Year 4 Division Worksheet — Level 2 (Set 2)
Division facts, division with remainders and short division. Expected-level practice for this year group. This Year 4 worksheet has 12…
Difficulty
Level 2 · Standard
Time
15 min
Questions
12 questions
Answers
Answers included

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About this resource

Created by: Success Tutoring
Last reviewed: 1 October 2026
How it was made: Written by our team

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