Square Root Long Division Calculator

Enter a non-negative whole number and decimal places to generate the square-root digits with each brought-down pair, trial digit, subtraction, and remainder.

Whole-number radicand

Decimal places

—Digit-by-digit square-root result

Step	Pair	Brought down	Trial digit	Subtract	Remainder

The algorithm groups digits in pairs and chooses each next root digit x so that (20p + x)x does not exceed the current brought-down value.

How to use this Square Root Long Division Calculator

Enter a non-negative whole number and decimal places to generate the square-root digits with each brought-down pair, trial digit, subtraction, and remainder.

What it calculates

Find a square root with the digit-by-digit long-division method.

Browser limits

Exact integer radical factorization is capped at 1 trillion for responsive local processing. The long-division page supports up to 60 integer digits and 12 generated decimal places.