Use this Remainder Calculator to divide two whole numbers and instantly find the quotient and remainder. Enter a dividend and divisor below to see the complete division equation.
Enter positive or negative whole numbers. The divisor cannot be zero.
The dividend is the number being divided.
The divisor is the number you divide by and cannot be zero.
17 = (5 × 3) + 2
A remainder is the amount left over when one whole number cannot be divided evenly by another. For example, 17 divided by 5 gives a quotient of 3 with 2 left over.
The calculator uses whole-number division and displays both parts of the answer. It also shows an equation so you can quickly verify the calculation.
Find the quotient and remainder immediately without performing long division manually.
BigInt-based calculation keeps very large whole-number results accurate.
Your calculation runs in the browser without registration or sending the numbers to a server.
The relationship between the dividend, divisor, quotient, and remainder is:
To calculate the remainder manually, divide the dividend by the divisor and keep the whole-number quotient. Multiply the divisor by that quotient, then subtract the product from the dividend.
Remainder and modulo often produce the same result for positive numbers. With negative numbers, programming languages and mathematical conventions may handle the sign differently.
This calculator truncates the quotient toward zero. Therefore, a non-zero remainder has the same sign as the dividend. For example, −17 divided by 5 gives a quotient of −3 and a remainder of −2.