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Math

Long Division Calculator

Perform long division with detailed step-by-step solutions. Learn the division algorithm with clear explanations.

100% FreeStep-by-Step Solutions
Long Division Calculator
Enter the dividend and divisor to see the step-by-step division process
Try These Examples
Click on any example to automatically fill the calculator
Example 1

Simple division: 84 ÷ 4

dividend: 84
divisor: 4
Example 2

Division with remainder: 127 ÷ 5

dividend: 127
divisor: 5
Example 3

Larger numbers: 1234 ÷ 12

dividend: 1234
divisor: 12
Example 4

Three-digit division: 456 ÷ 23

dividend: 456
divisor: 23
How Long Division Works

Long division is a method for dividing large numbers by breaking the division into smaller, manageable steps. The process involves:

  1. Divide: Determine how many times the divisor fits into the current portion of the dividend
  2. Multiply: Multiply the divisor by the quotient digit
  3. Subtract: Subtract the result from the current portion
  4. Bring down: Bring down the next digit from the dividend
  5. Repeat: Continue until all digits have been processed
Key Concepts

Division Terms:

  • Dividend: The number being divided
  • Divisor: The number dividing the dividend
  • Quotient: The result of the division
  • Remainder: What's left over after division

Formula:

textDividend=textDivisortimestextQuotient+textRemainder\\text{Dividend} = \\text{Divisor} \\times \\text{Quotient} + \\text{Remainder}