Long Division Calculator

Long division is a method for dividing large numbers or polynomials by breaking the process into a series of simpler steps. Our calculator shows every step of the division process including the quotient, remainder, and how each digit is brought down. This tool is helpful for understanding the division algorithm and for polynomial division in algebra.

How It Works

Enter your equation or expression into the solver above and click "Solve." Our system first attempts a deterministic verification using a symbolic math engine for guaranteed accuracy. If verified, you will see a Verified badge next to the answer.

Example Problem

847 ÷ 3

Step-by-Step Solution

Divide 8 by 3: quotient digit is 2, remainder is 2
Bring down 4: divide 24 by 3: quotient digit is 8, remainder is 0
Bring down 7: divide 7 by 3: quotient digit is 2, remainder is 1

Final Answer: 282 remainder 1

Frequently Asked Questions

How does long division work?

Divide the leading digit(s) of the dividend by the divisor, write the quotient digit above, multiply and subtract, then bring down the next digit. Repeat until all digits are used.

Can this handle polynomial long division?

Yes, our solver handles both numerical long division and polynomial division, showing each step of the process.

What if there is a remainder?

The remainder is the amount left over after division. It can be expressed as a fraction (remainder/divisor) or as a decimal.

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