Long Division Calculator with Step-by-Step Work
This long division calculator divides two numbers and lays out every step the way you would on paper, so you can see exactly how the quotient and remainder are reached. Type a dividend and a divisor and the answer appears instantly, with the full traditional long-division layout below it.
It is built for students checking homework, teachers demonstrating the method, and parents helping with math — anyone who needs to see how a division problem is solved, not just the final number. The same result is shown four ways: quotient with remainder, decimal, and mixed number.
How to Do Long Division Here
Enter your numbers
Type the Dividend (the number being divided) in the first field and the Divisor (the number you are dividing by) in the second field.
Read the result instantly
As soon as both numbers are in, the Result card shows the Quotient, the Remainder, the Decimal value, and a Mixed Number whenever a remainder is left.
Study the step-by-step solution
Below the result, the Step-by-Step Solution draws the classic bracket layout and color-codes each move — the quotient digits, the subtraction lines, and the digits brought down — so every step is easy to follow.
Try the examples
Tap a ready-made example such as 529 ÷ 23 or 1000 ÷ 7 to watch how different problems — even-divide, with remainder, and repeating decimals — are solved.
Features
Visual Long Division Format
Problems are drawn in the traditional bracket layout, with the divisor, dividend, and quotient in their proper paper-and-pencil positions.
Step-by-Step Explanations
Each step is spelled out in plain language: divide, multiply to find the product, subtract, then bring down the next digit.
Multiple Result Formats
Get the answer as a quotient with remainder (e.g. 23 R 5), as a decimal, and as a mixed number — whichever form you need.
Repeating Decimal Detection
When a division repeats, the pattern is marked in parentheses — for example 1000 ÷ 7 = 142.(857142) where the digits repeat forever.
Negative Number Support
Divide positive or negative numbers; the calculator applies the correct sign to the result using standard math rules.
Quick Examples
One-tap example problems load instantly so you can compare even divides, remainders, and repeating decimals side by side.
Frequently Asked Questions
How do you do long division step by step?
Long division repeats four moves: divide the current part of the dividend by the divisor, multiply that quotient digit by the divisor to get the product, subtract the product, then bring down the next digit and repeat. Enter your numbers above and the step-by-step solution shows each of these moves for your exact problem.
What is the difference between the dividend and the divisor?
The dividend is the number being divided (usually the larger one), and the divisor is the number you divide by. The result is the quotient, and anything left over is the remainder. For example, in 529 ÷ 23 = 23, the dividend is 529, the divisor is 23, and the quotient is 23 with no remainder.
What is the quotient and remainder in long division?
The quotient is the whole-number result of the division. The remainder is what is left over when the dividend does not divide evenly. For example, 17 ÷ 5 = 3 remainder 2, where 3 is the quotient and 2 is the remainder.
How do you do long division with decimals?
The calculator continues the division past the decimal point automatically and shows the decimal result for you. If the decimal repeats, the repeating block is shown in parentheses — for example 1 ÷ 3 = 0.(3) means the 3 repeats forever, and 1 ÷ 7 = 0.(142857) means the sequence 142857 repeats infinitely.
How do you check a long division answer?
Multiply the quotient by the divisor, then add the remainder; the result should equal the dividend. For example, if 17 ÷ 5 = 3 R 2, then (3 × 5) + 2 = 15 + 2 = 17, which confirms the answer.
Can I divide negative numbers, and what happens at zero?
Yes — negative numbers are handled with the standard sign rules: same signs give a positive result, mixed signs give a negative result. Dividing by zero is undefined in math, so the calculator shows an error instead of a result.
What is the largest number I can divide?
The calculator supports dividends up to 999,999,999 and divisors up to 999,999, which covers virtually all practical long-division problems. Larger values show a message asking for smaller numbers.
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