Basic Math

Long Division Calculator

Solve division equations showing the complete step-by-step working with remainders or decimal expansions.

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Enter your dividend (the number you want to divide) and your divisor (the number you are dividing by) below to solve.

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A Guide to Long Division and Divisors

Long division is a standard step-by-step arithmetic method used for dividing multi-digit numbers. When dividing large numbers by hand, breaking the calculation down into a series of simpler division steps makes the math manageable. Long division labels the four key parts of any division problem: the dividend (the number being divided), the divisor (the number doing the dividing), the quotient (the main result), and the remainder (the leftover amount).

The Steps of Long Division

To perform long division, you use the repeating sequence: Divide, Multiply, Subtract, and Bring Down (often remembered using acronyms). First, divide the first digit of the dividend by the divisor. Record the result on the quotient line.

Next, multiply the quotient digit by the divisor and write it below. Subtract this product from the dividend digits to find the difference, then bring down the next digit of the dividend and repeat. If a division does not divide evenly, the leftover is the remainder. Alternatively, you can continue division by adding a decimal point and bringing down zeros to find a decimal expansion. To round decimal quotients, check out our rounding decimals and digits tool.

Everyday Applications

Splitting Cash: Friends splitting restaurant tabs or group costs use division to find individual shares. You can check averages with our simple group averages tool.
Converting Fractions: Converting standard fractions into decimal formats uses division. You can check conversions with our visual fractions solver.
Time Tracking: Converting total minutes into hours requires dividing by sixty, which you can resolve with our standard daily math tools.
Divisibility Testing: Checking if a number is a factor of another number is verified by a remainder of zero, which you can analyze with our finding complete number factors tool.

Division with Remainder vs. Decimal Quotient

In elementary math, divisions are written with a remainder (like 13 divided by 4 equals 3 with a remainder of 1, written as 3 R1).

In advanced applications, you continue the division by adding a decimal point: 13.00 divided by 4 is exactly 3.25. Our online long division calculator displays both formats, providing the complete layout for homework checking and practical math problems.

Example of Splitting $125

Suppose you want to divide $125 evenly among 4 people.

Here, 125 is the dividend, and 4 is the divisor. First, divide 12 by 4, which is 3. Multiply 3 by 4 (12) and subtract: 12 - 12 = 0. Bring down the 5. Divide 5 by 4, which is 1. Multiply 1 by 4 (4) and subtract: 5 - 4 = 1. We have a quotient of 31 with a remainder of 1. To find the exact decimal cost, add a decimal point and bring down a zero to make 10. Divide 10 by 4, which is 2. Multiply 2 by 4 (8) and subtract to get 2. Bring down another zero to make 20. Divide 20 by 4, which is 5. The result is exactly $31.25 per person. This shows how decimal long division coordinates equal distributions.