Last updated: March 2, 2026 by Dr. David Park

How to Perform Long Division

Formula

Long division divides a dividend by a divisor, producing an integer quotient and a remainder.

The relationship is: Dividend = Quotient x Divisor + Remainder.

Common use cases:

  • Basic arithmetic practice
  • Understanding remainders in modular arithmetic
  • Converting improper fractions

Frequently Asked Questions

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Dr. David Park

Applied Mathematician, PhD Mathematics

David holds a PhD in Applied Mathematics from MIT. He has published research on numerical methods and computational algorithms used in engineering and scientific calculators.

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