How does the long division generator work?

Enter a dividend and a divisor and the tool runs the standard long-division algorithm, drawing the classic bracket layout with the quotient on top, the divisor to the left, and every worked step — product, subtraction line, difference, and brought-down digit — aligned in its correct column. Turn "Show worked steps" off to display just the bracket and the answer.

What are the four steps of long division?

Divide, multiply, subtract, and bring down. You see how many times the divisor goes into the current part of the dividend (divide), multiply that quotient digit by the divisor (multiply), subtract the product from the number above (subtract), then carry down the next dividend digit (bring down) and repeat until every digit is used.

How do I show the remainder in long division?

The remainder is the number left after the final subtraction, and it is always smaller than the divisor. This tool writes it after the quotient as "R" followed by the value — for example 4823 ÷ 5 = 964 R 3. You can verify it by checking that quotient × divisor + remainder equals the original dividend.

Can I do long division with a two-digit divisor?

Yes. Enter any divisor — one digit, two digits, or more — and the tool works the full algorithm and aligns the columns for you. For example 985 ÷ 25 = 39 R 10, with each product and difference lined up under the right dividend digits.

Why does my quotient have a zero in the middle?

A zero appears in the quotient whenever the divisor does not go into the current partial dividend, so you write 0, bring down the next digit, and continue. This is correct and common — for example 4008 ÷ 4 = 1002. The tool records those zero steps so the worked layout stays accurate.

Can I print or download the long division?

Yes. Every result renders as a clean, monospaced diagram you can export as an SVG (scales to any size) or a high-resolution PNG. Both have a white background, so they drop cleanly into worksheets, answer keys, slides, and homework handouts.

Math Tool

Long Division Generator Step by Step

Solve long division step by step in the standard bracket layout — see every quotient digit, product, subtraction, and remainder, then export a clean SVG or PNG.

Standard US bracket layoutFull worked steps or answer onlyHandles remainders & 2-digit divisorsSVG & PNG export

Dividend (top)Divisor (÷ by)

Show worked steps (uncheck for just the answer)

4823 ÷ 5 = 964 R 3

Long Division Examples

Common ways to work and lay out a long division problem

View:

Labeled Long Division

A clearly labeled long division problem showing the divisor, dividend, quotient, and worked steps.

labeledlong-division

Long Division Steps

The full worked steps of a long division problem: divide, multiply, subtract, bring down.

stepsworked

Long Division with Remainder

A worked long division problem that leaves a remainder, written after the quotient.

remainderworked

Long Division, No Remainder

A long division problem that divides exactly, ending with a difference of zero.

no-remainderexact

Two-Digit Divisor

Long division by a two-digit divisor, with each product and difference aligned in columns.

two-digitdivisor

Blank Long Division Template

A blank long division bracket for students to work out the steps by hand.

blanktemplate

What is long division?

Long division is the standard written method for dividing one whole number (the dividend) by another (the divisor) one digit at a time, producing a quotient and, when the division is not exact, a remainder. It is written in a distinctive "bracket" layout — sometimes called the bus-stop method — where the divisor sits to the left, the dividend goes under a horizontal bar, and the quotient is built up on top, each digit written directly above the dividend digit it was worked from. For example, 4823 ÷ 5 gives a quotient of 964 with a remainder of 3, because 964 × 5 = 4820 and 4820 + 3 = 4823. This generator works the algorithm exactly and lines every product and difference up in its correct column, so the layout is always right no matter which numbers you enter.

The steps: divide, multiply, subtract, bring down

Long division repeats a four-step cycle for each digit of the dividend. Divide: see how many times the divisor goes into the current part of the dividend, and write that digit in the quotient on top. Multiply: multiply that quotient digit by the divisor and write the product underneath.
Subtract: draw a line and subtract the product from the part of the dividend above it to get the difference. Bring down: carry the next dividend digit down next to that difference to form the new number to divide, then repeat the whole cycle.
Take 4823 ÷ 5: 5 goes into 48 nine times (9 × 5 = 45, and 48 − 45 = 3); bring down the 2 to make 32, and 5 goes in six times (30, remainder 2); bring down the 3 to make 23, and 5 goes in four times (20, remainder 3). The quotient is 964 and the final difference, 3, is the remainder.

Remainders and what they mean

When the divisor does not divide the dividend exactly, the number left over at the end is the remainder. It is always smaller than the divisor — if it were equal or larger, the divisor would have gone in at least one more time. A quotient with a remainder is often written as "964 R 3".
You can check any long division by multiplying the quotient by the divisor and adding the remainder: it should return the original dividend. For 4823 ÷ 5, that is 964 × 5 + 3 = 4820 + 3 = 4823, which confirms the answer.
A remainder can also be expressed as a fraction (remainder over divisor) or carried into decimals by adding a decimal point and zeros to the dividend — useful when a problem asks for an exact decimal answer instead of a whole-number remainder.

Dividing by two-digit numbers

The same four-step cycle works for two-digit (and larger) divisors — there is just more estimating. Instead of a single-digit fact, you judge how many times a number like 25 fits into the current partial dividend, which usually means rounding to estimate and then adjusting.
For 985 ÷ 25, 25 does not go into 9, so you look at 98: 25 goes in three times (3 × 25 = 75, and 98 − 75 = 23). Bring down the 5 to make 235, and 25 goes in nine times (9 × 25 = 225, remainder 10). The quotient is 39 with a remainder of 10.
A handy trick is to jot a small multiples list for the divisor — 25, 50, 75, 100, 125 — so each "how many times does it go in" step becomes a quick lookup instead of repeated guessing.

Tips for teaching and practice

Keep the columns straight. Most long-division mistakes come from digits drifting out of line, so working on squared paper — or using a tool like this one that aligns every column automatically — prevents place-value errors.
Say the cycle out loud: "divide, multiply, subtract, bring down." Repeating the rhythm helps students internalise the sequence and stops steps from being skipped.
Everything here renders in your browser and exports as a crisp SVG or high-resolution PNG, so you can drop a correctly worked example straight into a worksheet, slide, or answer key, then hand out a blank version for students to complete.

Frequently Asked Questions

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What is long division?

The steps: divide, multiply, subtract, bring down

Long division repeats a four-step cycle for each digit of the dividend. Divide: see how many times the divisor goes into the current part of the dividend, and write that digit in the quotient on top. Multiply: multiply that quotient digit by the divisor and write the product underneath.

Subtract: draw a line and subtract the product from the part of the dividend above it to get the difference. Bring down: carry the next dividend digit down next to that difference to form the new number to divide, then repeat the whole cycle.

Take 4823 ÷ 5: 5 goes into 48 nine times (9 × 5 = 45, and 48 − 45 = 3); bring down the 2 to make 32, and 5 goes in six times (30, remainder 2); bring down the 3 to make 23, and 5 goes in four times (20, remainder 3). The quotient is 964 and the final difference, 3, is the remainder.

Remainders and what they mean

When the divisor does not divide the dividend exactly, the number left over at the end is the remainder. It is always smaller than the divisor — if it were equal or larger, the divisor would have gone in at least one more time. A quotient with a remainder is often written as "964 R 3".

You can check any long division by multiplying the quotient by the divisor and adding the remainder: it should return the original dividend. For 4823 ÷ 5, that is 964 × 5 + 3 = 4820 + 3 = 4823, which confirms the answer.

A remainder can also be expressed as a fraction (remainder over divisor) or carried into decimals by adding a decimal point and zeros to the dividend — useful when a problem asks for an exact decimal answer instead of a whole-number remainder.

Dividing by two-digit numbers

The same four-step cycle works for two-digit (and larger) divisors — there is just more estimating. Instead of a single-digit fact, you judge how many times a number like 25 fits into the current partial dividend, which usually means rounding to estimate and then adjusting.

For 985 ÷ 25, 25 does not go into 9, so you look at 98: 25 goes in three times (3 × 25 = 75, and 98 − 75 = 23). Bring down the 5 to make 235, and 25 goes in nine times (9 × 25 = 225, remainder 10). The quotient is 39 with a remainder of 10.

A handy trick is to jot a small multiples list for the divisor — 25, 50, 75, 100, 125 — so each "how many times does it go in" step becomes a quick lookup instead of repeated guessing.

Tips for teaching and practice

Keep the columns straight. Most long-division mistakes come from digits drifting out of line, so working on squared paper — or using a tool like this one that aligns every column automatically — prevents place-value errors.

Say the cycle out loud: "divide, multiply, subtract, bring down." Repeating the rhythm helps students internalise the sequence and stops steps from being skipped.

Everything here renders in your browser and exports as a crisp SVG or high-resolution PNG, so you can drop a correctly worked example straight into a worksheet, slide, or answer key, then hand out a blank version for students to complete.