➗ Modulo (Remainder) Calculator

Use this modulo calculator to find the remainder when dividing numbers. Enter two numbers separated by a comma to get the result.

Result will appear here…

📌 Understanding Modulo (Remainder)

The **Modulo (Remainder) operation** finds the remainder when one number is divided by another. It is represented by the **”%” symbol** in mathematics and programming.

Formula: Dividend % Divisor = Remainder
Example: 20 % 3 → 20 ÷ 3 = 6 remainder **2**. ✅ Answer: **2**

📌 Example Calculations

Problem	Solution
20 % 3 = ?	✅ 2
100 % 6 = ?	✅ 4
15 % 4 = ?	✅ 3
45 % 7 = ?	✅ 3

🔧 Practical Applications of Modulo

1. Programming: Used in loops, time calculations, and hashing functions.

2. Cryptography: Essential in encryption algorithms like RSA.

3. Timekeeping: Helps calculate hours and minutes in 24-hour and 12-hour clocks.

❓ FAQs

Q1: Can I find the remainder of more than two numbers?
✅ No, modulo is only defined between two numbers at a time.

Q2: What happens if I use zero as a divisor?
⚠️ **Division by zero is not allowed**! Example: **10 % 0 is undefined**.

Q3: Can I use negative numbers?
✅ Yes! Example: **-20 % 3 = -2**, **20 % -3 = 2**.

Q4: Where is modulo used?
✅ Modulo is used in **programming, cryptography, clock calculations, and mathematical applications**.

Q5: How does modulo work in programming?
✅ In programming languages like Python, JavaScript, and C++, **a % b** returns the remainder of dividing `a` by `b`.