Math

Instant, private, and free

Long Division Calculator.

Divide two whole numbers and see the quotient, the remainder and every step of the long-division tableau written out.

On-device calculationNo signup
01

Set your values

Results update as you type.

How to Use

Long division works one digit at a time: bring a digit down, see how many times the divisor fits, subtract, and carry the leftover into the next column.

When the divisor does not fit into the working number, the quotient digit is 0 and that zero must still be written down — it is the most common place students lose a digit.

With negative numbers the quotient is truncated toward zero and the remainder takes the sign of the dividend, so divisor x quotient + remainder always equals the dividend.

FAQs

How do you do long division step by step?

Bring down the leftmost digit of the dividend, ask how many whole times the divisor fits into it, write that digit above the bar, multiply it by the divisor and subtract. Whatever is left becomes the start of the next column when you bring down the next digit. Repeat until every digit has been used; whatever remains at the end is the remainder.

What is the quotient and what is the remainder?

The quotient is how many whole times the divisor fits into the dividend; the remainder is what is left over and is always smaller than the divisor. For 1234 divided by 12 the quotient is 102 and the remainder is 10, because 12 x 102 = 1224 and 1234 - 1224 = 10.

What happens when the divisor does not fit into a digit?

You write 0 as that quotient digit and bring the next digit down. Dropping that zero is the single most common long division mistake: 4020 divided by 4 is 1005, not 105. This calculator shows every zero digit explicitly in the tableau so you can see where it belongs.

Why is my quotient 0?

If the divisor is larger than the dividend, the divisor never fits a whole time, so the quotient is 0 and the remainder is the whole dividend. For example 825 divided by 900 gives quotient 0 remainder 825, which is 0.9166... as a decimal.

How does long division handle negative numbers?

This calculator uses truncated division: the quotient is rounded toward zero and the remainder takes the sign of the dividend. So -1234 divided by 12 is -102 remainder -10. That keeps the identity divisor x quotient + remainder = dividend true in every case. The written steps themselves always use the plain magnitudes, which is how long division is taught.

Why can't I divide by zero?

Division asks how many times the divisor fits into the dividend. Zero fits an unlimited number of times and still never reaches the dividend, so no answer exists — division by zero is undefined and the calculator reports an error instead of a number.

Cite this calculator

Canonical URL: https://mathify.one/es/math/long-division

Cite as: Mathify. (2026). Calculadora de División Larga. https://mathify.one/es/math/long-division

Use Cases

Check homework or practice problems

Verify your manual long division work by comparing your steps and results with the calculator's detailed tableau.

Example: Divide 847 by 7 and see each bring-down and subtraction.

Understand the long division process

Learn how long division works by observing the step-by-step breakdown, which clarifies each stage of the division.

Example: Follow along with 1234 ÷ 12 to see how the quotient and remainder are derived.

Frequently Asked Questions

How does the long division calculator show the steps?
The calculator displays a step-by-step long division tableau. It shows each bring-down and subtraction step, making it easy to follow the division process from start to finish.
What does the calculator output include?
It provides the quotient, the remainder, the decimal answer (if applicable), and a detailed step-by-step long division tableau. This helps you understand both the integer and decimal results.
Can I use this calculator for any two whole numbers?
Yes, you can divide any two whole numbers. The calculator will handle the division and show the quotient, remainder, and decimal answer, along with the step-by-step process.

Tips & Common Mistakes

Tips

  • Ensure both numbers are whole numbers; the calculator is designed for integer division.
  • Use the step-by-step tableau to trace each bring-down and subtraction, which reinforces your understanding.
  • Check the decimal answer to see the exact result when the division does not end evenly.
  • Use the remainder to verify your manual calculations or to understand non-terminating divisions.

Common Mistakes to Avoid

  • Forgetting that the divisor cannot be zero; division by zero is undefined.
  • Misinterpreting the remainder as the final answer when the decimal answer is also provided.
  • Skipping the step-by-step tableau and only looking at the final quotient, missing the learning opportunity.

Last updated: August 13, 2026