Last updated: March 2, 2026 by Maria Gonzalez

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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Maria Gonzalez

Registered Dietitian, RD, MPH

Maria is a Registered Dietitian with a Master's in Public Health. She focuses on evidence-based nutrition assessment tools including BMI, calorie calculations, and body composition analysis.

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