Dividing 12 by 5 without leaving any remainder
To divide 12 by 5 without leaving any remainder, we need to perform the division process and understand how many times 5 can go into 12 evenly.

Step 1: Division process
- Start by dividing 12 by 5.
- In traditional division, 5 can go into 12 two times (5 x 2 = 10).
- Subtract 10 from 12, leaving a remainder of 2.

Step 2: Finding the remainder
- Since we want to divide 12 by 5 without leaving any remainder, we need to adjust our approach.
- To divide 12 by 5 evenly, we can consider the concept of modular arithmetic.
- In modular arithmetic, we find the remainder when one number is divided by another.

Step 3: Applying modular arithmetic
- The remainder when 12 is divided by 5 can be found using the modulus operator (%).
- In this case, 12 % 5 equals 2.
- By using modular arithmetic, we can determine that 12 divided by 5 equals 2 with a remainder of 2.
By following these steps and understanding the concept of modular arithmetic, we can divide 12 by 5 without leaving any remainder.