To calculate $205112 \mod 9$, follow the same process of summing the digits:

1. Sum the digits of 205112:
   $2 + 0 + 5 + 1 + 1 + 2 = 11$

2. Since 11 is not a single-digit number, sum the digits of 11:
   $1 + 1 = 2$

So, $205112 \mod 9 = 2$.

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. What is $205113 \mod 9$?
2. Calculate $987654 \mod 9$.
3. What is $123321 \mod 9$?
4. How do you find $560789 \mod 9$?
5. What is the remainder when dividing 205112 by 11?

Tip: The modulo operation helps to find patterns or cycles in sequences, especially in number theory.