Solve division problems instantly with our comprehensive division calculator. Support for basic division, long division, decimal division, and fraction calculations with step-by-step solutions.
Division is one of the four basic arithmetic operations that represents splitting a number into equal parts. In division, we divide a dividend by a divisor to get a quotient. Division is the inverse operation of multiplication and is essential for everyday calculations, from sharing items equally to complex mathematical computations.
Our division calculator handles various types of division problems, including whole numbers, decimals, fractions, and provides detailed step-by-step solutions to help you understand the division process.
Simple division of whole numbers: a ÷ b = quotient
Example: 15 ÷ 3 = 5
Step-by-step division process showing each step of the calculation
Example: 125 ÷ 5 = 25 (with detailed working steps)
When division doesn't result in a whole number, we get a remainder
Example: 17 ÷ 5 = 3 remainder 2
Division involving decimal numbers with precise decimal results
Example: 12.5 ÷ 2.5 = 5.0
Division of fractions: (a/b) ÷ (c/d) = (a/b) × (d/c)
Example: (3/4) ÷ (1/2) = 3/2 or 1.5
Write the dividend under the division symbol and the divisor outside. Align the numbers properly.
Determine how many times the divisor goes into the first digit(s) of the dividend.
Multiply the quotient digit by the divisor and subtract from the current portion of the dividend.
Bring down the next digit of the dividend and repeat the process.
Repeat steps 2-4 until all digits have been used. Any remaining value is the remainder.
Division by zero is undefined in mathematics because no number multiplied by zero equals a non-zero number. It would break mathematical rules and lead to contradictions.
The quotient is the whole number result of division, while the remainder is what's left over when division doesn't produce a whole number. Example: 17 ÷ 5 = 3 remainder 2.
Our calculator provides exact results for simple divisions and high-precision decimal results (up to 15 decimal places) for more complex calculations.
Yes! Division follows the same sign rules as multiplication: positive ÷ positive = positive, positive ÷ negative = negative, negative ÷ negative = positive.