Long Division

Divide numbers step by step with remainder, fraction and repeating decimal

Check: dividend = divisor × quotient + remainder

1234 = 7 × 176 + 2

Quotient / Remainder

176 R 2

Decimal

176.285714

Mixed number

176 2/7

Fraction (lowest terms)

1234/7

The digits under the bar repeat forever (a repeating block of 6)

Steps

12 ÷ 7 = 1, since 1 × 7 = 7; 12 − 7 = 5
53 ÷ 7 = 7, since 7 × 7 = 49; 53 − 49 = 4
44 ÷ 7 = 6, since 6 × 7 = 42; 44 − 42 = 2
The remainder is not 0, so write a decimal point and bring down zeros
20 ÷ 7 = 2, since 2 × 7 = 14; 20 − 14 = 6
60 ÷ 7 = 8, since 8 × 7 = 56; 60 − 56 = 4
40 ÷ 7 = 5, since 5 × 7 = 35; 40 − 35 = 5
50 ÷ 7 = 7, since 7 × 7 = 49; 50 − 49 = 1
10 ÷ 7 = 1, since 1 × 7 = 7; 10 − 7 = 3
30 ÷ 7 = 4, since 4 × 7 = 28; 30 − 28 = 2
Remainder 2 has appeared before, so the digits from here repeat

About this calculator

The Long Division Calculator divides one number by another the way you do it on paper and shows every step: divide, multiply, subtract, bring down the next digit. It gives the quotient and remainder, the answer as a mixed number and as a fraction in lowest terms, and the decimal with its repeating block marked. The long-division diagram draws each subtraction row and bring-down arrow and highlights the remainder that repeats. Decimal inputs are scaled to whole numbers first, and negative numbers follow the sign rule.

How to use the Long Division calculator

Enter the values for your problem into the input fields.
Read the result — it updates instantly as you type.
Check the formula and the visual explanation to follow how the answer was found.
Copy the page URL to share the exact calculation.

Common examples

1234 ÷ 7 = 176 R 2 = 176 2⁄7 = 176.285714… (285714 repeats)
9876 ÷ 12 = 823 exactly, remainder 0
22 ÷ 7 = 3 R 1 = 3 1⁄7 = 3.142857… (142857 repeats)
1.25 ÷ 0.3 → 125 ÷ 30 = 4 R 5 = 4 1⁄6 = 4.1666… (6 repeats)

Frequently asked questions

How does the Long Division calculator work?

Enter your values and the calculator applies the exact mathematical method for this problem, showing the result together with the formula it used. Everything is computed with high-precision arithmetic, so the answer you see is not limited by ordinary floating-point rounding.

When would I use the Long Division calculator?

It is useful for homework and exam preparation, for checking work done by hand, and whenever a step in a larger problem needs this calculation done quickly and reliably.

How accurate are the results?

Calculations run at 30 significant digits of precision internally. Displayed values are rounded for readability, but the underlying result is far more precise than a typical hand or pocket-calculator computation.

Can I share a specific calculation with someone else?

Yes. Every value you enter updates the URL, so copying the address bar and sharing the link reopens the exact same calculation for whoever clicks it.