Long Division Calculator

Worked example

Divide 7425 by 15 using the standard bring-down method:

1. Bring down 7 and 4 → 74. 15 goes into 74 four times (15 × 4 = 60), remainder 14.
2. Bring down 2 → 142. 15 goes into 142 nine times (15 × 9 = 135), remainder 7.
3. Bring down 5 → 75. 15 goes into 75 five times (15 × 5 = 75), remainder 0.

Reading the digits placed at each step gives quotient 495, remainder 0 — so 7425 ÷ 15 = 495 exactly. Verification: 15 × 495 = 7425.

How decimal division is handled

The step-by-step bring-down breakdown only runs when both the dividend and divisor are whole numbers. If either input has a decimal point (say, 74.25 ÷ 1.5), the tool skips the digit-by-digit layout and reports only the quotient (49.5) plus the multiplication check, since long division's remainder concept doesn't map cleanly onto non-integer inputs.

Remainders as fractions

When whole-number division doesn't come out even, the result is shown three ways: quotient with remainder (e.g., "3 remainder 2"), as a fraction (3 2/5), and as the decimal quotient (3.4) — three representations of the same answer, useful depending on whether your context wants an exact fraction or a rounded decimal.