Okay, let's tackle this math problem. We're starting with 889511 and subtracting 80109.

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 1 and the borrow 0 from 5 in column 3 and get 4.
4 is the next digit of our result.

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

Step 5: We'll start by subtracting the digit 8 and the borrow 0 from 8 in column 5 and get 0.
0 is the next digit of our result.

Step 6: We'll start by subtracting the digit 0 and the borrow 0 from 8 in column 6 and get 8.
8 is the next digit of our result.

So, 889511 - 80109 = 809402.