1. What is Integer Division?

Integer division is a mathematical operation that divides two integers and returns the whole number part of the quotient, discarding any fractional part. It's equivalent to floor division in mathematics.

2. How Does the Calculator Work?

The calculator uses the integer division formula:

Where:

• \( a \) — Numerator (dividend)
• \( b \) — Denominator (divisor)
• \( \left\lfloor \cdot \right\rfloor \) — Floor function

Explanation: The operation returns the largest integer less than or equal to the exact division result.

3. Importance of Integer Division

Details: Integer division is fundamental in computer programming, discrete mathematics, and many algorithms where fractional results are not meaningful or needed.

4. Using the Calculator

Tips: Enter two integers (whole numbers). The denominator cannot be zero. The calculator will return the integer quotient.

5. Frequently Asked Questions (FAQ)

Q1: How is integer division different from regular division?
A: Integer division discards the fractional part, while regular division may return a floating-point number.

Q2: What happens with negative numbers?
A: The result is rounded towards negative infinity (floor division). For example, -7 ÷ 3 = -3.

Q3: What is the remainder in integer division?
A: The remainder can be calculated using the modulo operation (a % b).

Q4: Why is division by zero not allowed?
A: Division by zero is mathematically undefined and will result in an error.

Q5: What are common uses of integer division?
A: Common in computer algorithms, array indexing, cryptography, and problems requiring discrete values.