Year 6 - Maths
Dividing by a 2-digit divisor with a remainder
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 divide by a 2-digit divisor and find the remainder.
Key Notes
- A remainder is always less than the divisor.
- The remainder, the part left over, is written after the quotient and represented with an 'r'.
- Listing multiples of the divisor improves efficiency and accuracy with written division methods.
Vocabulary To Learn
- 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 make efficient use of multiplication facts when answering long division problems, especially 10 or 100 times the divisor.
3 Quick Questions (With Answers)
1. Solve this in steps: explain the method from this lesson and why each step matters.
A remainder is always less than the divisor. The remainder, the part left over, is written after the quotient and represented with an 'r'.
2. Use this key word in a maths sentence and explain it clearly. 'Long division'
Long division is a method used for dividing large numbers by breaking the number down into smaller groups. 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 make efficient use of multiplication facts when answering long division problems, especially 10 or 100 times the divisor. Correction: Encourage pupils to make estimations using multiplication facts. Once the multiplication facts are completed, they could be used to ask quick-fire questions (e.g. what is 20 × 18? 50 × 18? 200 × 18?).
More Lessons In This Unit
- Dividing by a 2-digit divisor including using long division 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
- Using short and long division to divide by a 2-digit divisor Study Guide
Browse all guides in the Year 6 Maths guide library.