Year 5 - Maths
Divide a 3-digit by a 1-digit number using short division
Division by partitioning leading to short division (2 and 3-digits by 1-digit)
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This pupil-friendly study guide includes a unit summary, clear notes, common mistakes, and quick questions with answers.
Unit Summary
In this unit pupils will divide a 2-digit and a 3-digit number by a single-digit number using partitioning and representations and divide a 2-digit number by a single-digit number by using short division.
Lesson Summary
You can divide a 3-digit by a 1-digit number using short division.
Key Notes
- Division of a 3-digit by a 1-digit number can be organised with short division.
- The partial quotients are recorded above the dividend in the correct place value columns.
- Use the place value resources to explain the similarities with short multiplication.
Vocabulary To Learn
- Dividend: The dividend is the amount that you want to divide up.
- Divisor: A divisor is the number we divide by.
- Quotient: A quotient is the result after division has taken place.
Common Mistakes To Avoid
- Pupils may not be able to arrange digits within the division frame correctly and work procedurally.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Division of a 3-digit by a 1-digit number can be organised with short division. The partial quotients are recorded above the dividend in the correct place value columns.
2. Use this key word in a maths sentence and explain it clearly. 'Dividend'
The dividend is the amount that you want to divide up. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils may not be able to arrange digits within the division frame correctly and work procedurally. Correction: Clear teacher modelling of arrangement of digits using the division frame. Continue to use stem sentences.
More Lessons In This Unit
- Divide a 2-digit by a 1-digit number using partitioning (with regrouping) Study Guide
- Divide a 2-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 2-digit by a 1-digit number using representations with exchanging and remainders Study Guide
- Divide a 2-digit by a 1-digit number using short division (no regrouping ) Study Guide
- Divide a 2-digit by a 1-digit number using short division (with regrouping) Study Guide
- Divide a 2-digit number using short division (with regrouping and remainders) Study Guide
- Divide a 3-digit by a 1-digit number using partitioning and representations (no remainders) Study Guide
- Divide a 3-digit number using partitioning and representations (one regroup) Study Guide
- Divide using partitioning and representations (multiple regroups and remainder) Study Guide
- Divide using short division with regrouping and remainders Study Guide
- Solve problems involving multiplication and division Study Guide
- Solve problems involving multiplication and division in a range of contexts Study Guide
- Use efficient division strategies to solve problems Study Guide
- Use short division when the hundreds digit is smaller than the divisor Study Guide
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