Long Division Calculator

SCHOOL / HOMEWORK

Divide two whole numbers to get the quotient, remainder, and decimal. Enter the dividend and divisor.

Quotient
—
Whole-number result.

Usage Tip

Check any division by multiplying back: quotient times divisor plus remainder should equal the dividend.

THE MATH
dividend ÷ divisor = quotient with a remainder
quotient × divisor + remainder = dividend
Long division splits a dividend into equal groups; the quotient is how many, the remainder is what is left over.
The decimal form continues the division past the point.
Inputs are treated as whole numbers.
The remainder is always smaller than the divisor.
The divisor cannot be zero.
Practical Notes

Long division splits a whole number division into a quotient and a remainder. The quotient is how many whole times the divisor fits into the dividend, and the remainder is what is left over. The decimal result continues the division past the decimal point, so 17 divided by 5 gives a quotient of 3, a remainder of 2, and a decimal of 3.4.

You can check the answer by multiplying the quotient by the divisor and adding the remainder, which must give back the dividend. The remainder is always smaller than the divisor, and division by zero is undefined. Remainders are useful for scheduling, splitting items into groups, and tasks such as working out what day of the week a date falls on.

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