🔢 Modulo Calculator
Calculate the remainder of division (a mod b) for positive, negative numbers and decimals with detailed step-by-step solutions.
Input Values
Note: Divisor cannot be zero
Results
Common Examples
17 mod 3
= 2
Click to try
27 mod 6
= 3
Click to try
-7 mod 3
= 2
Click to try
5.5 mod 2
= 1.5
Click to try
100 mod 7
= 2
Click to try
1 mod 2
= 1
Click to try
Modulo in Programming Languages
JavaScript
a % b
Python
a % b
Java
a % b
C/C++
a % b
C#
a % b
PHP
a % b
Ruby
a % b
Swift
a % b
Frequently Asked Questions
The modulo operator is used to find the remainder during a division of two numbers. The operator is represented by the symbol % in most programming languages. It is also known as the remainder operator. As an example, 5 mod 2 returns 1.
To calculate modulo division: subtract the divisor from the dividend until the resultant is less than the divisor. The remainder is your answer.
The components of modulo division are dividend, divisor, quotient, and remainder. The remainder is the answer or end result of the modulo operation.
17 mod 3 equals 2 since dividing 17 by 3 gives a quotient of 5 and a remainder of 2. The remainder is the result of the modulus operation.
In most cases, mod and remainder are the same for positive numbers. However, for negative numbers, different programming languages may handle the sign differently.
Yes, modulo can be calculated with decimal numbers using floating-point modulo operations, though it's less common than integer modulo.
Modulo by zero is undefined and will result in an error, similar to division by zero.
Modulo is commonly used for cycling through arrays, checking if numbers are even/odd, implementing circular buffers, and hash table implementations.
⚠️ Disclaimer
This modulo calculator is provided for educational and reference purposes only. While we strive for accuracy, please verify important calculations independently. For professional mathematical work, consult with qualified experts or use specialized software.