Year 5 - Maths
Divide using short division with regrouping and remainders
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 will learn to divide using short division with regrouping and remainders.
Key Notes
- If the hundreds number is not a multiple of the divisor then the remainder is regrouped for tens.
- If the tens number is not a multiple of the divisor then the remainder is regrouped for ones.
- If the ones number is not a multiple of the divisor then there will be a remainder in the answer.
- The partial quotients are recorded above the dividend in the correct place value columns.
Vocabulary To Learn
- Remainder: A remainder is an amount left over after division (it happens when the dividend does not divide exactly by the divisor).
- Regroup / regrouping: The process of unitising and exchanging between place values is known as regrouping.
Common Mistakes To Avoid
- Pupils not understanding why they may have to regroup or what the regrouped amount represents.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the hundreds number is not a multiple of the divisor then the remainder is regrouped for tens. If the tens number is not a multiple of the divisor then the remainder is regrouped for ones.
2. Use this key word in a maths sentence and explain it clearly. 'Remainder'
A remainder is an amount left over after division (it happens when the dividend does not divide exactly by the divisor). Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils not understanding why they may have to regroup or what the regrouped amount represents. Correction: Ask pupils 'What does this digit represent?' draw attention to place value and use continue to use language of unitisation.
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 by a 1-digit number using short division 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
- 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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