Remainder Calculator
Use our remainder calculator (quotient and remainder calculator) to calculate remainder and quotient from division instantly. Learn how to calculate remainder, how is the quotient calculated, what quotient means in math, and examples for calculator showing remainder, scientific calculators, Excel, Java, and Python.
What is a Quotient and Remainder?
In division, the quotient is how many times the divisor fits into the dividend, and the remainder is what’s left over.
If you’re wondering what quotient means or what quotient in division is, it’s the integer result you get before considering any leftover part (the remainder).
A quotient and remainder calculator returns both values at once: the quotient (integer division result) and the remainder (leftover).
Remainder Formula and Division Equation
Division with remainder can be written as a simple equation. This is the main remainder equation used to find the remainder and explain how the quotient is calculated.
a is dividend, b is divisor, q is quotient, r is remainder.
The quotient is the floor of a divided by b (integer division).
The remainder is what’s left after removing q groups of size b.
Because 29 = 4·6 + 5.
This matches how many calculators show remainder when no remainder key exists.
How to Use the Remainder Calculator
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Enter the dividend (a).
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Enter the divisor (b).
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The calculator returns the quotient (q) and remainder (r).
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Use the division equation a = q·b + r to verify your result.
Frequently Asked Questions
Divide a by b. The remainder is what’s left: r = a − ⌊a/b⌋·b.
The quotient is the integer part of a ÷ b: q = ⌊a/b⌋.
Quotient means the result of division. In whole-number division, it’s the integer part before the remainder.
It’s how many full times the divisor fits into the dividend.
Some calculators have a remainder or mod function. If not, do integer division to get q, then compute r = a − q·b.
Look for MOD, REM, or INT/floor functions. Otherwise compute q = ⌊a/b⌋ and r = a − q·b.
Use the MOD function: MOD(a, b) returns the remainder.
Use the % operator: a % b.
Use the % operator: a % b.
The standard remainder equation is a = q·b + r.
Those terms usually refer to calculus (difference quotient) or differentiation rules (quotient rule), not division remainders. This tool is for quotient and remainder in division.
The remainder theorem is about polynomials. This page is about division remainders for numbers.
Estimating a quotient is rounding before dividing. This calculator returns the exact quotient and remainder for integer division.