Quotient & Remainder Calculator

Division Algorithm (Euclidean Division)

For any two whole numbers \( M \) (dividend) and \( N \) (divisor, \( N \neq 0 \)), there exist unique integers \( Q \) (quotient) and \( R \) (remainder) such that:

\[ M = N \times Q + R, \quad \text{where } 0 \le R < |N| \]

Equivalently, the division can be expressed as:

\[ \frac{M}{N} = Q + \frac{R}{N} \]

✅ This calculator instantly finds the integer quotient and remainder. Perfect for learning division, checking divisibility, and understanding modular arithmetic.

Quotient (Q) : —
Remainder (R) : —
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⚠️ Note: Divisor N must be a non‑zero integer. For negative numbers, remainder follows Euclidean definition (0 ≤ R < |N|).