Got it! So, we have 889096088 and 303757033, and we'll subtract the latter from the former.

Step 1: We'll start by subtracting the digit 3 and the borrow 0 from 8 in column 1 and get 5.
5 is the first digit of our result.

Step 2: We'll start by subtracting the digit 3 and the borrow 0 from 8 in column 2 and get 5.
5 is the next digit of our result.

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

Step 4: We'll start by subtracting the digit 7 and the borrow 0 from 6 in column 4 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 5: We'll start by subtracting the digit 5 and the borrow 1 from 9 in column 5 and get 3.
3 is the next digit of our result.

Step 6: We'll start by subtracting the digit 7 and the borrow 0 from 0 in column 6 and get -7.
We add -7 to 10 and get 3 as the next digit of the result.

Step 7: We'll start by subtracting the digit 3 and the borrow 1 from 9 in column 7 and get 5.
5 is the next digit of our result.

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

Step 9: We'll start by subtracting the digit 3 and the borrow 0 from 8 in column 9 and get 5.
5 is the next digit of our result.

So, 889096088 - 303757033 = 585339055.