Math & Algebra Tool

Long Division Calculator

Perform long division with remainders or decimals, showing all work steps.

Σ The Formula

Dividend ÷ Divisor = Quotient + Remainder/Divisor

Real World Examples

With Remainder
17 ÷ 5 = 3 R 2
Decimal Result
1 ÷ 4 = 0.25
Large Division
144 ÷ 12 = 12
Repeating Decimal
1 ÷ 3 = 0.333...

# About This Calculator

Long Division is a standard algorithm used to divide multi-digit numbers. It breaks down a complex division problem into a series of easier steps: Divide, Multiply, Subtract, Bring Down (DMSB).

This method allows us to find the quotient (answer) and remainder of any division problem, no matter how large the numbers are. It is a fundamental arithmetic skill taught in elementary school and used whenever manual calculation is required.

This tool mimics the pen-and-paper process, showing you not just the answer but the entire "tableau" of work. You can choose to find a remainder (e.g., 10 ÷ 3 = 3 R 1) or continue to decimal places (10 ÷ 3 = 3.33).

Perfect for students checking homework or anyone wanting to see the step-by-step mechanics of division.

How To Use

  1. Enter the Dividend (number inside the house).
  2. Enter the Divisor (number outside).
  3. Toggle "Show Decimals" if you want a precise answer instead of a remainder.
  4. Click Divide to see the steps.

Frequently Asked Questions

What are the parts of division?+

The Dividend is the number being divided, the Divisor is the number dividing it, the Quotient is the result, and the Remainder is what is left over.

Is Long Division Calculator free to use?+

Yes, Long Division Calculator on Matheric is completely free to use. We believe in accessible education and utility for everyone.

How accurate is Long Division Calculator?+

We use standard mathematical formulas and high-precision computing algorithms to ensure results for Long Division Calculator are accurate for academic and professional use.

Can I use Long Division Calculator on my phone?+

Yes! Long Division Calculator is fully responsive and optimized for all devices, including smartphones, tablets, and desktops.

Do you save my data?+

No. We prioritize your privacy. All calculations are performed in your browser or temporarily processed, and we do not store your personal input data.

How do I report a bug?+

If you notice any issues with Long Division Calculator or have suggestions for improvement, please contact us via the link in the footer. We value your feedback!

About

Long Division is a standard algorithm used to divide multi-digit numbers. It breaks down a complex division problem into a series of easier steps: Divide, Multiply, Subtract, Bring Down (DMSB).

This method allows us to find the quotient (answer) and remainder of any division problem, no matter how large the numbers are. It is a fundamental arithmetic skill taught in elementary school and used whenever manual calculation is required.

This tool mimics the pen-and-paper process, showing you not just the answer but the entire "tableau" of work. You can choose to find a remainder (e.g., 10 ÷ 3 = 3 R 1) or continue to decimal places (10 ÷ 3 = 3.33).

Perfect for students checking homework or anyone wanting to see the step-by-step mechanics of division.

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