Let's dive into this subtraction. We'll start with 329511111 and subtract 105096009 from it.

Step 1: We'll start by subtracting the digit 9 and the borrow 0 from 1 in column 1 and get -8.
We add -8 to 10 and get 2 as the first digit of the result.

Step 2: We'll start by subtracting the digit 0 and the borrow 1 from 1 in column 2 and get 0.
0 is the next digit of our result.

Step 3: We'll start by subtracting the digit 0 and the borrow 0 from 1 in column 3 and get 1.
1 is the next digit of our result.

Step 4: We'll start by subtracting the digit 6 and the borrow 0 from 1 in column 4 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 5: We'll start by subtracting the digit 9 and the borrow 1 from 1 in column 5 and get -9.
We add -9 to 10 and get 1 as the next digit of the result.

Step 6: We'll start by subtracting the digit 0 and the borrow 1 from 5 in column 6 and get 4.
4 is the next digit of our result.

Step 7: We'll start by subtracting the digit 5 and the borrow 0 from 9 in column 7 and get 4.
4 is the next digit of our result.

Step 8: We'll start by subtracting the digit 0 and the borrow 0 from 2 in column 8 and get 2.
2 is the next digit of our result.

Step 9: We'll start by subtracting the digit 1 and the borrow 0 from 3 in column 9 and get 2.
2 is the next digit of our result.

So, 329511111 - 105096009 = 224415102.