Long Division Calculator

Divide any two numbers the long way and see every step: bring down, divide, multiply, and subtract. Get the quotient with its remainder, the decimal answer to the places you choose, and a flag when the decimal repeats. Everything runs in the browser.

Step-by-step work
Quotient and remainder
Decimals and repeating decimals
Stays on your device

Long division breaks a big division problem into small ones. Each step brings down one digit of the dividend, asks how many times the divisor fits, multiplies, and subtracts. Whatever is left is carried into the next step. When the digits run out, the last difference is the remainder, and you can keep going past a decimal point by bringing down zeros.

Example: 435 ÷ 25. 25 doesn't fit into 4, so the first quotient digit is 0. Bring down 3 to make 43; 25 fits once, and 43 − 25 = 18. Bring down 5 to make 185; 25 fits 7 times, and 185 − 175 = 10. The answer is 17 R 10, or 17.4 as a decimal.

Need a share of a total instead? The percentage calculator finds X% of Y, part-to-whole percents, and percent change. Find the greatest common factor with the GCF calculator, break a number into primes with the factoring calculator, simplify a ratio with the ratio calculator, or solve A / B = C / D with the proportion calculator. Browse more tools in the Math hub.

How to use the long division calculator

Enter the dividend, the number you want to divide.
Enter the divisor, the number you are dividing by. Decimals, negatives, and commas are fine.
Choose how many decimal places to work out after the remainder (0 for a whole-number answer).
Read the quotient, remainder, and decimal answer, then follow each step of the work.

Frequently asked questions

How do you do long division step by step?

Work left to right through the dividend. Bring down the next digit, see how many times the divisor fits into that number, write that digit in the quotient, multiply it by the divisor, and subtract. The difference is the remainder you carry into the next step. Repeat until every digit has been brought down.

What are the dividend, divisor, quotient, and remainder?

The dividend is the number being divided, the divisor is the number you divide by, the quotient is the answer, and the remainder is what is left over. In 435 ÷ 25, 435 is the dividend, 25 is the divisor, 17 is the quotient, and 10 is the remainder.

How do I write a long division answer with a remainder?

Write the quotient, then R, then the remainder: 435 ÷ 25 = 17 R 10. You can check it by multiplying the quotient by the divisor and adding the remainder: 17 × 25 + 10 = 435.

How do I turn the remainder into a decimal?

Put a decimal point after the quotient, add a zero to the remainder, and keep dividing. In 435 ÷ 25 the remainder 10 becomes 100, and 100 ÷ 25 = 4, so the answer is 17.4. Set the decimal places box to choose how far the calculator goes.

What is a repeating decimal in long division?

If a remainder shows up again, the digits after it will repeat forever. For example, 1 ÷ 3 = 0.333… and 22 ÷ 7 = 3.142857142857…. The calculator spots the repeat and tells you which digits keep repeating.

Can I do long division with decimals?

Yes. Multiply the dividend and divisor by the same power of 10 so the divisor is a whole number, then divide as usual. 7.5 ÷ 2.5 becomes 75 ÷ 25 = 3. The calculator does this shift for you and shows it as the first step.

What happens with negative numbers or dividing by zero?

Divide the numbers without their signs, then make the answer negative if exactly one of them is negative, so −84 ÷ 4 = −21. Dividing by zero is undefined, so the calculator asks for a divisor other than 0.

How do I check my long division answer?

Multiply the quotient by the divisor and add the remainder. If you get the dividend back, the division is right. For a decimal answer, multiply the decimal by the divisor and you should land on (or very close to) the dividend.