About the Long Division Calculator
This long division calculator divides one whole number by another and shows every part of the answer: the whole-number quotient, the remainder, the answer as a decimal and a table of the working, one digit at a time. If the decimal repeats, such as 1 divided by 7, the repeating block is shown in brackets so you can see the pattern instead of a rounded guess. It handles numbers of up to 60 digits, which is far more than a pocket calculator can show exactly.
Updated October 2026
How to use the Long Division Calculator
- 1Type the dividend, the number you want to divide, in the first box.
- 2Type the divisor, the number you divide by, in the second box.
- 3Read the quotient and remainder at the top of the result.
- 4Check the decimal answer and, if it repeats, the repeating digits in brackets.
- 5Follow the steps table to copy the working into your homework or notes.
How the method works
Take 1234 divided by 7. Start with the first digit, 1. Seven does not fit into 1, so look at 12. Seven fits once, leaving 5. Bring down the next digit to make 53. Seven fits seven times, which is 49, leaving 4. Bring down the final digit to make 44. Seven fits six times, which is 42, leaving 2. The answer is 176 with a remainder of 2. The steps table repeats this same process with the working numbers, the digit that fits, the amount subtracted and what is left.
Tips for checking your own working
- The remainder is always smaller than the divisor. If yours is not, the digit you wrote is too small.
- Multiply the quotient by the divisor and add the remainder to get back the dividend.
- Leading zeros in the quotient are skipped, so 7 divided by 100 gives a quotient of 0 and a remainder of 7.
- A division by a number with only the prime factors 2 and 5, such as 8 or 20, always ends. Any other prime factor makes the decimal repeat.
When to use a calculator for division
Long division by hand is good practice for school, but large numbers are easy to get wrong. A phone calculator usually shows only 10 or 12 digits and switches to scientific notation, so it cannot give an exact remainder for big values. This tool keeps every digit, which makes it useful for checking homework, splitting a large count of items into equal groups, working out how many full boxes can be packed, or finding the leftover amount.
For related jobs see the GCF and LCM Calculator for common factors, the Fraction Calculator to turn a division into a fraction, and the Big Number Calculator for other exact operations on very large numbers.
Features
- Quotient and remainder shown together
- Exact decimal answer with the repeating block marked
- Digit-by-digit working table
- Numbers of up to 60 digits
- Clear message when you divide by zero
- Copy the result in one tap
- Everything is calculated in your browser
Frequently asked questions
What is long division?
Long division is a written method for dividing numbers that are too big to divide in your head. You work through the dividend one digit at a time, decide how many times the divisor fits into the number so far, write that digit in the answer, subtract, and bring down the next digit. It ends with the quotient and whatever is left over, the remainder.
What is the difference between the quotient and the remainder?
The quotient is how many whole times the divisor fits into the dividend. The remainder is what is left after taking those whole groups away. For 100 divided by 7, the quotient is 14 and the remainder is 2, because 14 times 7 is 98 and 2 is left over.
How do I check a long division answer?
Multiply the quotient by the divisor and add the remainder. You should get back the dividend. With 1234 divided by 7 the quotient is 176 and the remainder 2, and 176 times 7 plus 2 is 1234. The calculator's answer always passes this check.
Why does the decimal have digits in brackets?
Some divisions never end. One seventh is 0.142857142857 and so on forever, repeating the same six digits. Writing it as 0.(142857) shows the whole pattern exactly, whereas a rounded decimal hides it. Divisions such as 1 divided by 8 end after a few digits and show no brackets.
Can I divide by a decimal or use negative numbers?
This tool is for whole numbers, because long division with remainders is defined for them. To divide decimals, multiply both numbers by the same power of ten until they are whole, for example 4.5 divided by 0.15 becomes 450 divided by 15. For negative numbers, divide the positive values and apply the sign afterwards.
What happens if I divide by zero?
Division by zero has no answer, so the calculator shows a message instead of a result. If you were expecting a number, check that the divisor box has the right value and does not contain only a zero.