Long Division Calculator

Math Tools

Long Division Calculator

Divide whole numbers step by step and see the quotient, remainder, decimal result, and each stage of the division.

Long Division Calculator

Divide whole numbers step by step and see the quotient, remainder, decimal result, and each stage of the division.

Formula

Quotient = Dividend ÷ Divisor

Result

Quotient

31.25

Remainder

0

Long division steps

Step 1: current value = 1

Quotient digit = 0, subtract 0, remainder = 1

Step 2: current value = 12

Quotient digit = 3, subtract 12, remainder = 0

Step 3: current value = 5

Quotient digit = 1, subtract 4, remainder = 1

Step 4: current value = 10

Quotient digit = 2, subtract 8, remainder = 2

Step 5: current value = 20

Quotient digit = 5, subtract 20, remainder = 0

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What this calculator does

This calculator performs long division step by step, shows the quotient, remainder, decimal answer, and each intermediate division step.

What is a long division calculator?

A long division calculator is a math tool that helps you divide one number by another using the standard long division method. It shows the quotient, the remainder, and the individual steps used to reach the final answer.

This is useful for students learning arithmetic, parents checking homework, teachers preparing examples, and anyone who wants to solve division problems accurately without doing every step by hand.

How to do long division step by step

To do long division, start by seeing how many times the divisor fits into the first part of the dividend. Write that quotient digit above the dividend, multiply it by the divisor, subtract, and then bring down the next digit.

Repeat that same process for each next digit. If the division does not come out evenly, you may end with a remainder or continue into decimal places depending on how precise you want the answer to be.

Long division formula and key terms

Dividend

The number being divided.

Divisor

The number you divide by.

Quotient

The answer you get after division.

Remainder

The amount left over when the divisor no longer fits evenly.

Formula

Dividend = (Divisor × Quotient) + Remainder

Long division examples and answers

These worked examples show common long division problems with quotients and remainders.

DividendDivisorQuotientRemainder
125431.251
14412120
87517.42
250831.252

When a remainder appears in long division

A remainder appears when the divisor does not divide the dividend evenly. For example, 125 divided by 4 gives a quotient of 31 and a remainder of 1 before continuing into decimals.

In some math problems, you stop at the remainder. In others, you continue dividing by adding decimal places. Both forms can be useful depending on whether you need a whole-number answer or a more precise decimal answer.

Why use an online long division calculator?

An online long division calculator helps you solve problems faster and reduces arithmetic mistakes. It is especially useful when you want to check homework, verify manual calculations, or understand each step of the division process.

Because it shows the quotient, remainder, and the worked steps, it is also a good learning aid for students who want to understand how long division works instead of just seeing a final answer.

Long division calculator FAQ and common division questions

How do you do long division step by step?

Divide, write the quotient digit, multiply, subtract, and bring down the next digit. Repeat until the full dividend has been used.

What is the quotient in long division?

The quotient is the final answer you get when dividing the dividend by the divisor.

What is the remainder in long division?

The remainder is the value left over when the divisor no longer fits evenly into the current number.

Can long division produce decimal answers?

Yes. If the division does not end evenly, you can continue into decimal places to get a more precise quotient.

Why is long division important?

Long division is an important arithmetic skill because it helps students understand division, remainders, place value, and the connection between fractions and decimals.