We can solve this together! We're beginning with 511481 and removing 8803 from it.

Step 1: We'll start by subtracting the digit 3 and the borrow 0 from 1 in column 1 and get -2.
We add -2 to 10 and get 8 as the first digit of the result.

Step 2: We'll start by subtracting the digit 0 and the borrow 1 from 8 in column 2 and get 7.
7 is the next digit of our result.

Step 3: We'll start by subtracting the digit 8 and the borrow 0 from 4 in column 3 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 4: We'll start by subtracting the digit 8 and the borrow 1 from 1 in column 4 and get -8.
We add -8 to 10 and get 2 as the next digit of the result.

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

So, 511481 - 8803 = 502678.