Remainder Calculator
Enter two numbers to find the remainder after division.
Tip: Press Enter in either field to calculate quickly.
What does “remainder” mean?
A remainder is what is left over after one number is divided by another. For example, if you divide 17 by 5, you get 3 with a remainder of 2:
In math class, this is often written as 17 ÷ 5 = 3 R 2. In programming and many calculator tools, the remainder is returned with the mod or % operation.
How to calculate remainder on a calculator
Method 1: Use a MOD key or function
Some scientific calculators include a mod function. If your calculator has it, type:
- Dividend
- MOD
- Divisor
- Equals
Example: 17 mod 5 = 2.
Method 2: Use integer division manually
If your calculator doesn’t have a MOD key, you can still do it:
- Compute the whole-number quotient: floor(dividend ÷ divisor)
- Multiply that quotient by the divisor
- Subtract from the dividend
Example with 29 and 6:
- 29 ÷ 6 = 4.833...
- Whole-number quotient is 4
- 4 × 6 = 24
- 29 - 24 = 5 remainder
Why remainders are useful
Remainders show up in more places than you might expect:
- Time calculations: Convert minutes to hours and leftover minutes.
- Money and change: Group bills and find what remains.
- Programming: Check odd/even numbers (n % 2).
- Scheduling: Repeat events every n days using modular arithmetic.
- Classroom math: Learn division structure and number sense.
Examples you can try in the calculator above
Example 1: Whole numbers
50 ÷ 7 gives remainder 1.
Example 2: Exact division
24 ÷ 6 gives remainder 0.
Example 3: Negative numbers
Different systems treat negatives slightly differently. This page uses JavaScript-style remainder, where the sign generally follows the dividend.
Common mistakes
- Using remainder when divisor is zero (not allowed).
- Confusing quotient and remainder.
- Forgetting that exact division has remainder 0.
- Mixing up modulo definitions across tools for negative numbers.
Quick FAQ
Is remainder the same as modulo?
In many everyday cases, yes. In advanced math and some programming languages, definitions can differ for negative values.
Can I use decimals?
Yes. This calculator accepts decimal values too, and applies the remainder operation directly.
What if the result is 0?
That means the divisor divides the dividend exactly with no leftover part.
Bottom line
A remainder is simply the leftover part of division. Use the calculator at the top of this page to get fast answers, and use the identity Dividend = Divisor × Quotient + Remainder to check your work.