Year 6 - Maths
Using short and long division to divide by a 2-digit divisor
Multiplying and dividing by 2-digit numbers
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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 extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.
Lesson Summary
You will learn to use short and long division to divide by a 2-digit divisor.
Key Notes
- Long division records the subtraction as a calculation underneath the dividend.
- Long division records the regrouping alongside the subtraction.
- There are similarities and differences between long and short division.
Vocabulary To Learn
- Estimate: Estimate means to find a value that is close enough to the right answer, usually with some thought or calculation involved.
- Long division: Long division is a method used for dividing large numbers by breaking the number down into smaller groups.
- Remainder: A remainder is an amount left after a division.
Common Mistakes To Avoid
- Pupils may not unitise when using long division and make errors (e.g. when dividing 7 hundreds by 12).
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
Long division records the subtraction as a calculation underneath the dividend. Long division records the regrouping alongside the subtraction.
2. Use this key word in a maths sentence and explain it clearly. 'Estimate'
Estimate means to find a value that is close enough to the right answer, usually with some thought or calculation involved. 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 unitise when using long division and make errors (e.g. when dividing 7 hundreds by 12). Correction: Explain to pupils that they are looking for multiples of the divisor (1 hundred × 12 = 1,200). This becomes clearer when dividing the tens digits (6 tens × 12 = 72 tens).
More Lessons In This Unit
- Dividing by a 2-digit divisor including using long division Study Guide
- Dividing by a 2-digit divisor with a remainder Study Guide
- Dividing numbers with up to 4 digits by multiples of 10 Study Guide
- Explain how to multiply a 3-digit number by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 3-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply a 4-digit by a 2-digit number Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens Study Guide
- Explain how to use long multiplication to multiply two 2-digit numbers with regrouping Study Guide
- Explain how to use the associative law to multiply efficiently Study Guide
- Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits Study Guide
- Solve problems involving remainders in context Study Guide
- Solve problems with 4-digit dividends using factors and long division Study Guide
- Use long division with decimal remainders Study Guide
- Use long division with fraction remainders Study Guide
Browse all guides in the Year 6 Maths guide library.