How to Solve Multiplication and Division — Step by Step Guide

Long multiplication, long division and word problems. This guide covers Class 3 to 5.

Step-by-Step Method

  1. 1

    For multiplication: multiply digit by digit starting from the ones place. Carry over when the product exceeds 9.

  2. 2

    For large numbers, use the column method: write partial products and add them.

  3. 3

    For division: use long division — divide, multiply, subtract, bring down. Repeat.

  4. 4

    Check: Dividend = Divisor × Quotient + Remainder.

  5. 5

    For word problems: identify what operation is needed from keywords (total, each, share, etc.).

Worked Example

Problem: Divide 456 by 12.

Solution: 456 ÷ 12 = 38. Check: 12 × 38 = 456. Remainder = 0.

Common Mistakes to Avoid

  • Forgetting the carry in multiplication.

  • Making subtraction errors during long division.

  • Not placing zeros correctly as placeholders in partial products.

  • Confusing quotient with remainder.

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Frequently Asked Questions

How do I solve Multiplication and Division problems?
For multiplication: multiply digit by digit starting from the ones place. Carry over when the product exceeds 9. For large numbers, use the column method: write partial products and add them.
What are common mistakes in Multiplication and Division?
Forgetting the carry in multiplication. Making subtraction errors during long division.
Which class covers Multiplication and Division?
Multiplication and Division is typically taught in Class 3, 4, 5. SparkEd has free practice for all these grades.
Where can I practise Multiplication and Division for free?
SparkEd offers free chapter-wise practice for Multiplication and Division aligned to CBSE, ICSE, and IB curricula. Visit sparkedmaths.com to start.

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