CalcDepo

Modulo and Remainder Calculator

Find the remainder and quotient after division.

Inputs

Results

Quotient9
Remainder2

Not what you need? Search by intent

Describe what you want to find — “mod” — and jump to the right calculator.

How to use the modulo and remainder calculator

Find the remainder and quotient after division. Enter dividend, divisor in the fields above; the quotient, remainder are computed instantly and plotted on the chart so you can see how the answer changes.

Common searches this calculator answers include “mod”, “remainder”, “integer division”, “calculate modulo and remainder”, “find quotient”.

Formula

Quotient = floor(a / b)
Remainder = a-b × [Quotient]

Variables

  • a — Dividend
  • b — Divisor

Worked example

With dividend = 47, divisor = 5, the calculator gives quotient ≈ 9; remainder ≈ 2.

Frequently asked questions

What is the modulo and remainder calculator used for?

Find the remainder and quotient after division. It helps with questions such as “mod”, “remainder”, “integer division”.

What is the formula for the modulo and remainder calculation?

Quotient = floor(a / b). Remainder = a-b × [Quotient]. Here a is dividend, b is divisor.

What inputs do I need for the modulo and remainder calculator?

You need dividend, divisor. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.

How do I use the modulo and remainder calculator?

Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.

Is the modulo and remainder result exact?

Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.

Related calculators

More in Algebra & Calculus: Percentage · Percent Increase and Decrease · Ratio Simplifier · GCD and LCM · Divisor Count · Quadratic Equation · Linear Equation · System of Two Linear Equations