Long Division Calculator
Decimals are rounded to 4 decimal places.
What is long division?
Long division is a method used to divide large numbers by breaking the problem into a series of smaller, easier steps. It is commonly taught in school mathematics and is especially useful when numbers do not divide evenly.
How to do long division step by step
- Divide the first digit (or group of digits) of the dividend by the divisor.
- Write the result above the division bracket.
- Multiply the divisor by that number and subtract.
- Bring down the next digit and repeat.
Long division with remainders vs decimals
When a number does not divide evenly, the leftover value is called the remainder. In some cases, you may want to continue dividing to convert the remainder into a decimal. This calculator lets you choose which format you prefer.
Examples
- 25 ÷ 4 = 6 remainder 1
- 67 ÷ 4 = 16 remainder 3
- 6868 ÷ 7 = 981 remainder 1
Frequently asked questions
Why is long division important?
Long division helps build number sense and is still useful for checking calculations and understanding how division works.
Is long division still used today?
Yes. While calculators are common, long division is still taught and used for learning, verification, and exams.