Year 5 - Maths
Divide a 2-digit by a 1-digit number using short division (with regrouping)
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 2-digit by a 1-digit number using short division (with regrouping).
Key Notes
- If the tens number is not a multiple of the divisor then the remainder is recorded next to the ones digit.
- If there is a remainder after dividing the tens digit the tens are regrouped and the ones digit becomes a 2-digit number
- If the number of ones, including any regrouped tens, is a multiple of the divisor, there will be no remainder.
Vocabulary To Learn
- Regroup / regrouping: The process of unitising and exchanging between place values is known as regrouping.
Common Mistakes To Avoid
- Pupils not understanding and/or recording the regrouped amount.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
If the tens number is not a multiple of the divisor then the remainder is recorded next to the ones digit. If there is a remainder after dividing the tens digit the tens are regrouped and the ones digit becomes a 2-digit number.
2. Use this key word in a maths sentence and explain it clearly. 'Regroup / regrouping'
The process of unitising and exchanging between place values is known as regrouping. 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 and/or recording the regrouped amount. Correction: Continue to use language of unitisation. For example '7 tens ÷ 3 is 2 tens remainder 1 ten.' Ask what the regrouped amount represents.
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 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
- 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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