Understanding integer division

Integer division is a fundamental arithmetic operation that divides one integer (the dividend) by another (the divisor) to find the quotient and remainder. The quotient is the number of times the divisor fits completely into the dividend, and the remainder is what is left over.

For example, 17 ÷ 5 = 3 R 2 because 5 fits into 17 three times (5 × 3 = 15) and 17 - 15 = 2. This can be expressed as: 17 = 5 × 3 + 2.

Integer division is widely used in computer science, time calculations, array indexing, and many other practical applications.

Input tips

  • Enter whole numbers for both dividend and divisor.
  • Divisor cannot be zero — division by zero is undefined.
  • Use Calculate to stage your inputs before seeing the result.
  • The Copy button returns the full division statement.
  • Reset returns to the example values so you can compare.

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