Power Calculators

÷R Remainder Calculator

Calculate the quotient and remainder when one number is divided by another.

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Enter details

Enter a non-zero divisor.

Fill in the details and click Calculate to see your results.


Also available in our Android app, with charts and full breakdown tables.

📘 About the Remainder

A remainder is what is left after division when the division is not exact.

The calculator also shows the integer quotient used to construct the remainder.

🧮 Formula

Integer quotient
Quotient = floor(Dividend ÷ Divisor)
Remainder
Remainder = Dividend − Divisor × Quotient

Where

  • Dividend = number being divided
  • Divisor = number dividing it
  • Quotient = floor(Dividend ÷ Divisor)
For positive integer inputs, 0 <= remainder < divisor when divisor is positive.

✏️ Worked example

17 divided by 5

You enter
Dividend17
Divisor5
You get
Integer Quotient3
Remainder2

The quotient is 3 and the remainder is 2.

Try this example →

🧭 How to use this calculator

What you enter

  • Dividend
  • DivisorEnter a non-zero divisor.

What you get

  • Integer Quotient
  • Remainder

💡 Common uses

  • Long division problems.
  • Checking divisibility.
  • Clock and repeating-cycle calculations.
  • Computer and programming mathematics.

❓ Frequently asked questions

What is a remainder?

It is the amount left after dividing a number by another number.

What is 20 divided by 5 remainder?

The remainder is 0 because 20 divides evenly by 5.