Year 6 - Maths
Use long division with fraction remainders
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 long division and give the remainder as a fraction.
Key Notes
- When giving the remainder as a fraction, the denominator is the same as the divisor.
- If the remainder can be simplified then the denominator will be a factor of the divisor.
- The fraction can be interpreted as a fraction of the unit of the dividend or the divisor depending on the context.
Vocabulary To Learn
- Remainder: A remainder is an amount left after a division.
- Fraction: A fraction shows us how many parts in a whole. It is a number.
Common Mistakes To Avoid
- Pupils do not make the link between fractions and division and therefore do not understand why a remainder can be written as a fraction.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
When giving the remainder as a fraction, the denominator is the same as the divisor. If the remainder can be simplified then the denominator will be a factor of the divisor.
2. Use this key word in a maths sentence and explain it clearly. 'Remainder'
A remainder is an amount left after a division. Use this word when showing your method, then check your final answer is reasonable.
3. Spot and fix this common maths mistake.
Mistake: Pupils do not make the link between fractions and division and therefore do not understand why a remainder can be written as a fraction. Correction: Show that fractions can be the result of division e.g. one-quarter is one divided by four. Use models and examples to show that a remainder can be written as a fraction of a whole group (the divisor).
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
- Using short and long division to divide by a 2-digit divisor Study Guide
Browse all guides in the Year 6 Maths guide library.