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Long Division Calculator

Divide whole numbers with quotient, remainder, decimal result, and long division steps.

The number being divided.

The number to divide by. It cannot be zero.

How many decimal places to show for the decimal result.

Status: initial

Results

Awaiting calculation

Arithmetic steps

Introduction

The Long Division Calculator divides whole numbers and shows quotient, remainder, decimal result, and school-style steps.

At each step, bring down the next digit, divide the partial dividend by the divisor, multiply back, subtract, and carry the remainder forward.

Formula and method guide

Remainder form

Dividend = divisor x quotient + remainder

Use this to check the whole-number quotient and remainder.

Decimal form

Decimal result = dividend / divisor

Use this when you need an approximate decimal quotient.

Long division cycle

Divide, multiply, subtract, bring down

Use this to understand the manual long division workflow.

Variables

Dividend

The number being divided.

Divisor

The number you divide by.

Quotient

The whole-number result of division.

Remainder

The amount left over after whole-number division.

Partial dividend

The current number being divided in a long division step.

FAQs

What does this Long Division Calculator do?
It divides whole numbers and shows quotient, remainder, decimal result, and long division steps.
What is the dividend?
The dividend is the number being divided.
What is the divisor?
The divisor is the number you divide by.
What is the quotient?
The quotient is the whole-number result of division.
What is the remainder?
The remainder is the amount left over after whole-number division.
Can the divisor be zero?
No. Division by zero is undefined.
Can I use decimals?
This calculator is focused on whole-number long division with remainder. It also shows a decimal result.
What is the long division cycle?
Divide, multiply, subtract, bring down, and repeat.
How do I check a remainder answer?
Use dividend = divisor x quotient + remainder.
Should the remainder be smaller than the divisor?
Yes. If it is not, the quotient can be increased.
What does 845 divided by 6 equal?
It equals 140 R 5, or approximately 140.8333.
Can this show decimal places?
Yes. Choose 0 to 8 decimal places for the decimal result.
Why are some quotient digits zero?
A zero digit appears when a brought-down partial dividend is smaller than the divisor.
Is long division still useful?
Yes. It helps explain how division works and provides a way to check division problems by hand.
Does this handle polynomial long division?
No. This calculator handles whole-number arithmetic long division.