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Dividing Large Numbers by Multi-Digit Divisors

Mathematics Grade 4 Difficulty 3/5

Beginning of the lesson

Understanding Long Division with Large Numbers

What You'll Learn: How to divide very large numbers (like 45,678 or 234,567) by two-digit numbers (like 23 or 87) and three-digit numbers (like 145 or 328) using the long division algorithm.

The Long Division Structure

Long division is like a step-by-step recipe for dividing big numbers. Let's look at how it's organized:

The Long Division HouseDividend(The big number we're dividing)Divisor(What we divide by)Quotient(The answer)

The Four-Step Process: DMSB

Remember these four steps - they repeat over and over:

D
Divide

How many times does the divisor fit into the current digits?

M
Multiply

Multiply your answer by the divisor to check.

S
Subtract

Subtract to find what's left over.

B
Bring Down

Bring down the next digit and repeat!

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In the full lesson

  • The complete explanation
  • Worked examples
  • Common mistakes and how to avoid them
  • Test questions: 55
  • AI tutor that answers questions about the topic
  • Progress tracking for students, parents and teachers