➗ Integer Quotient and Remainder Calculator

Calculate the integer quotient and remainder when dividing one whole number by another.

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Enter details

Integer Quotient
10
Remainder
5

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

📘 About the Quotient & Remainder

This calculator is useful when a division problem asks for the whole-number quotient and leftover amount.

For positive integers, it gives the familiar school division result.

🧮 Formula

Integer quotient
q = floor(a/b)
Remainder
r = a - qb

Where

  • a = dividend
  • b = divisor
  • q = floor(a/b)
  • r = a - qb
The divisor must be non-zero.

✏️ Worked example

125 divided by 12

You enter
Dividend125
Divisor12
You get
Integer Quotient10
Remainder5

125 = 12 x 10 + 5.

Try this example →

🧭 How to use this calculator

What you enter

  • Dividend
  • Divisor

What you get

  • Integer Quotient
  • Remainder

💡 Interpretation

  • The quotient counts complete groups.
  • The remainder is what is left after those complete groups.

❓ Frequently asked questions

What is the remainder?

It is the amount left after integer division.

What if the numbers divide exactly?

The remainder is zero.

Can I use a negative divisor?

The calculator accepts numeric input, but it is designed primarily for positive whole numbers.