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Divide numbers and get quotient, remainder, decimal, and fraction results. See step-by-step solutions and long division working.
Division is one of the four basic arithmetic operations. It splits a number into equal parts or groups. Division is the inverse of multiplication.
When a number doesn't divide evenly, there's a remainder—the amount "left over." The relationship is:
Division by zero is undefined in mathematics. Here's why:
If 6 ÷ 0 = x, then 0 × x should equal 6
But 0 times anything is 0, never 6!
If 0 ÷ 0 = x, then 0 × x should equal 0
This works for ANY number x, so the answer is indeterminate
A remainder is the whole number left over after division (17 ÷ 5 = 3 R2). A decimal continues the division process (17 ÷ 5 = 3.4). Both express the same relationship differently.
Multiply the quotient by the divisor, then add the remainder. The result should equal the dividend. Example: If 23 ÷ 4 = 5 R3, check: (4 × 5) + 3 = 23 ✓
Move the decimal point in the divisor to make it a whole number, then move the decimal in the dividend the same number of places. Then divide normally.
The rules are: positive ÷ positive = positive, negative ÷ negative = positive, positive ÷ negative = negative, negative ÷ positive = negative.
Round based on context: money typically needs 2 decimal places, measurements might need more or less. For exact answers, use fractions or note 'to X decimal places.'
Some fractions produce decimals that repeat forever, like 1/3 = 0.333... or 1/7 = 0.142857142857... These are written with a bar over the repeating digits.