Division Formula:
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Long division with remainders is a method for dividing two numbers that don't divide evenly. It calculates how many times one number (the divisor) fits completely into another (the dividend), and what's left over (the remainder).
The calculator uses the division formula:
Where:
Key Concepts: The remainder is always less than the divisor. When remainder is 0, the division is exact. The quotient represents how many whole times the divisor fits into the dividend.
Instructions: Enter positive integers for both dividend and divisor. The divisor must be greater than 0. The calculator will show both the quotient and remainder.
Q1: What if I enter a decimal number?
A: The calculator will use only the integer portion of the number.
Q2: Can the divisor be zero?
A: No, division by zero is mathematically undefined.
Q3: How is this different from regular division?
A: Regular division gives decimal results, while this shows whole number quotient plus remainder.
Q4: What's the largest number I can enter?
A: The calculator handles numbers up to PHP's integer limit (typically ±2 billion).
Q5: When is remainder division used?
A: Commonly used in programming, modular arithmetic, and real-world problems where items can't be divided.