Understanding Long Division

Long division is essential for dividing large numbers accurately. It's used in everyday situations like splitting bills, calculating measurements, and financial planning.

Step-by-Step Guide

Write the dividend under the division bar and divisor outside
Divide the first digit(s) by the divisor
Multiply the result by the divisor
Subtract from the current portion of the dividend
Bring down the next digit
Repeat until all digits are processed
The final result is the quotient with any remainder

Example Values

Dividend	Divisor	Result
245	5	49
1,248	12	104

Tip: Always double-check your subtraction steps. This is where most errors occur in long division.

Frequently Asked Questions

What if the divisor is larger than the dividend?

The quotient will be less than 1. Add a decimal point and zeros to the dividend to continue the division.

How do I handle decimals in long division?

Add a decimal point to the quotient directly above the dividend's decimal point, then continue with zeros as needed.

What if I get a repeating decimal?

Continue the division until you identify the repeating pattern, then represent it with a bar over the repeating digits.

Long Division Calculator

Menu

Long Division Calculator - Step by Step Work Shown

AI Assistant

Was this tool helpful?