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Modulo Calculator

Calculate a nonnegative Euclidean remainder. The divisor must be nonzero.

Free to useNo sign-upRuns in your browser
Enter your details

Enter the inputs, then select Calculate result.

Your result
Enter your details

Result will appear here

How Modulo Calculator works

Calculate a nonnegative Euclidean remainder.

The divisor must be nonzero. The remainder is between zero and the absolute divisor; this differs from JavaScript remainder for negative dividends.

Concept diagram for Modulo Calculator, showing integer dividend input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Modulo Calculator

Follow the labelled inputs.

Enter integer dividend

Replace the example with integer dividend. The field labels specify the expected format and units.

Input and settings
Modulo Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set nonzero integer divisor. The divisor must be nonzero.

Tool result
Modulo Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate result. Review the calculated result, then copy it or download the result text.

Review the details
Modulo Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Modulo Calculator

Check the supplied example

The starting example produces 2. Calculate a nonnegative Euclidean remainder.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for integer dividend and nonzero integer divisor. The divisor must be nonzero.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Calculate a nonnegative Euclidean remainder.

The divisor must be nonzero. The remainder is between zero and the absolute divisor; this differs from JavaScript remainder for negative dividends.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

The divisor must be nonzero. The remainder is between zero and the absolute divisor; this differs from JavaScript remainder for negative dividends.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Modulo Calculator: common questions

Answers about using Modulo Calculator and understanding its results.

Which inputs does this tool accept?

The divisor must be nonzero. The remainder is between zero and the absolute divisor; this differs from JavaScript remainder for negative dividends.

Can I copy or download the result?

Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.

Calculate result with your input

Check the calculated result, then copy or download it.

Calculate result