Softonic

Long Division Calculator

Step 1 / 3 Quotient

Use this long division calculator for whole-number and integer division, not polynomial division. Enter a dividend and divisor to get the quotient, remainder, optional decimal expansion and a table that follows the standard divide, multiply, subtract and bring-down routine. It is built for checking arithmetic, homework steps and remainder work such as 98765 / 37.

How to use the long division calculator

  1. 1

    Enter the dividend

    Type the whole number being divided. Negative integers are accepted, and the step table uses the absolute value before applying the sign.

  2. 2

    Enter the divisor

    Use any non-zero integer. The calculator blocks division by zero and keeps values inside a safe range.

  3. 3

    Choose decimal digits

    Set how many decimal places to continue after the remainder by bringing down zeros. Use 0 if you only need quotient and remainder.

  4. 4

    Read the steps

    Each row shows the partial dividend, quotient digit, multiplication, subtraction and new remainder.

What the calculator does

Long division breaks a large division problem into place-value steps. For each digit you divide the current partial number by the divisor, multiply the divisor by the new quotient digit, subtract that product, then bring down the next digit. When the integer digits are finished, the remaining value is the remainder.

This tool is different from a polynomial long division calculator. It works with ordinary integers such as 98765 / 37, while polynomial division works with expressions such as x^3 - 2x + 1.

Worked example: 98765 / 37

Step Partial number Quotient digit Product Remainder
1 9 0 0 9
2 98 2 74 24
3 247 6 222 25
4 256 6 222 34
5 345 9 333 12

The whole-number result is quotient 2669 with remainder 12, because:

98765 = 37 x 2669 + 12

If you continue into decimals, bring down zeros after the last digit. The first three decimal digits are:

Decimal step Partial number Digit Product Remainder
1 120 3 111 9
2 90 2 74 16
3 160 4 148 12

So the decimal expansion begins 2669.324.

Common pitfalls

  • Forgetting the zero quotient digit. If the divisor does not fit into the first digit, carry the partial number forward and keep going.
  • Dropping the remainder. Always check dividend = divisor x quotient + remainder.
  • Confusing remainder and decimal form. 2669 remainder 12 is exact. 2669.324 is a decimal continuation to three places, not a rounded final answer.
  • Using the wrong tool. If your dividend or divisor contains x, coefficients or powers, use the polynomial long division calculator instead.

Frequently Asked Questions

The quotient is how many whole times the divisor fits into the dividend. The remainder is what is left after those whole groups are removed. For 98765 / 37, the quotient is 2669 and the remainder is 12.

No. The decimal field shows the long-division expansion for the number of digits you request. It continues by bringing down zeros, so use it as a step-by-step decimal check rather than a rounded answer.

Yes. The table is built from absolute values so the arithmetic steps stay readable, then the sign is applied to the quotient and remainder using the identity dividend = divisor x quotient + remainder.

No. This calculator is for ordinary whole-number or integer division. Polynomial long division uses coefficients and powers of x, so it belongs in the polynomial long division calculator.

No. The calculation is handled by the page component and the values are not uploaded as files or saved in a user account.

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