Modulo Calculator

What is the Modulo Calculator?

Find the remainder (a mod n) and quotient of integer division. Modulo returns the remainder after division, which is how programs handle repeating cycles, clocks and alternating patterns.

How to use the Modulo Calculator

1. Enter your dividend, your divisor.
2. Results update automatically as you type; you can also press Calculate.
3. Read the output: a mod n, quotient (integer), remainder (js %).
4. Use the 📊 chart to see the result visually, then copy or share it.

Formula and method

Worked example

With dividend = 100, divisor = 7, the Modulo Calculator returns a mod n: 2; quotient (integer): 14; remainder (js %): 2.

Where the Modulo Calculator helps in real life

A programmer wants table rows to alternate colors. Checking row number mod 2 gives 0 for even rows and 1 for odd rows.

You want to know what weekday it will be 100 days from Monday. 100 mod 7 is 2, so it will be Wednesday.

Common mistakes to avoid

• Reading the quotient as the remainder.
• Assuming every programming language treats negative numbers the same.
• Dividing by zero.
• Using modulo with decimals when integers are expected.

💡 Practical tip: Any even number has a remainder of 0 when divided by 2.

Tips for better results

• Use mod 7 for weekdays and mod 12 or 24 for clock time.
• Check how your language handles negative dividends.
• Verify by multiplying the quotient back and adding the remainder.

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