We can solve this together! We're beginning with 76815 and removing 71187 from it.

Step 1: We'll start by subtracting the digit 7 and the borrow 0 from 5 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 8 and the borrow 1 from 1 in column 2 and get -8.
We add -8 to 10 and get 2 as the next digit of the result.

Step 3: We'll start by subtracting the digit 1 and the borrow 1 from 8 in column 3 and get 6.
6 is the next digit of our result.

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

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

So, 76815 - 71187 = 5628.