What are the steps of long division?

The method repeats four moves for every digit: divide (how many times does the divisor fit?), multiply (that digit times the divisor), subtract, and bring down the next digit. This calculator writes out each of those moves in the classic bracket layout.

How do you handle remainders?

If something is left over after the last digit, you can stop and record it as a remainder — 527 ÷ 4 = 131 R 3 — or bring down zeros after a decimal point and keep dividing, which is what choosing decimal places does.

Can it divide decimals?

Yes. Decimals in the dividend or divisor are cleared first by multiplying both numbers by the same power of ten — 7.56 ÷ 0.5 becomes 756 ÷ 50 — and the layout shows that scaling step before the division starts.

Why learn the written method when a phone can divide?

Long division is the place where place value, estimation and repeated subtraction click together. Seeing every intermediate product and difference — rather than just the answer — is also how you catch mistakes in algebraic division later on.

Arithmetic & Factors

Full written method

Long Division Calculator

Enter a dividend and a divisor and watch the bracket method unfold digit by digit — every multiplication, subtraction and bring-down, exactly as you would write it on paper.

Your numbers

Dividend (the number being divided)

Divisor (what you divide by)

Decimal places to work to

Worked solution

527 ÷ 4

131.75

Worked digit by digit below

Long division is just repeated subtraction: each digit of the quotient says how many times the divisor fits into the number you have brought down so far.

The working

3 steps

Set up the bracket
4 goes on the outside (the divisor), 527 on the inside (the dividend). The quotient is written along the top.
4 ⟌ 527
divisor ⟌ dividend
Divide → multiply → subtract → bring down
5 ÷ 4 goes 1 time — write 1 on top, subtract 4, left with 1. 12 ÷ 4 goes 3 times — write 3 on top, subtract 12, left with 0. 7 ÷ 4 goes 1 time — write 1 on top, subtract 4, left with 3. Bring down a 0 to make 30; 4 goes 7 times — subtract 28, left with 2. Bring down a 0 to make 20; 4 goes 5 times — subtract 20, left with 0.
4)527.0001411231207143.307282205200
Read the answer off the top
Quotient
131.75
Remainder
0 — divides exactly
Check
131.75 × 4 = 527

Works instantly in your browser — nothing is uploaded, and the URL keeps your numbers so you can share the exact worked example.

Reading the layout

The divisor sits outside the bracket, the dividend inside, and the quotient builds up along the top. Below the dividend you see the running work: each product written under the current working number, a line drawn, the difference written beneath, and the next digit brought down beside it.

Every row is a small subtraction problem. If you can subtract and know your times tables, you can follow the whole calculation — nothing is hidden.

Remainder or decimals?

Both are correct answers to “what is left over?”. Whole-number work stops at the remainder: 527 ÷ 4 = 131 remainder 3. Decimal work appends zeros after the point and keeps the cycle going — 131.75 exactly in this case.

Choose “whole numbers only” when you are checking homework written with R, and decimal places when the answer needs to be a single number.