Division by Zero
Division by zero is undefined in mathematics because it violates the fundamental arithmetic principle that a number divided by zero is undefined or indeterminate.

Explanation
When you divide any number by zero, you are essentially trying to split that number into zero parts, which is not possible. Mathematically, division by zero leads to infinity as a limit, but it is not a defined value. Therefore, 5 divided by 0 is undefined.

Mathematical Representation
Mathematically, the expression 5/0 can be represented as:
5 ÷ 0 = undefined

Division Property
According to the division property of mathematics, any number divided by zero is undefined. This property is a fundamental rule in arithmetic and algebra.

Conclusion
In conclusion, division by zero is undefined in mathematics. It is crucial to understand this concept to avoid mathematical errors and misconceptions. Remember, always divide by a non-zero number to get a valid result in mathematics.