Alright, let's solve this problem step by step. We have 65111 and 52541, and we're subtracting the second number from the first.

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

Step 2: We'll start by subtracting the digit 4 and the borrow 0 from 1 in column 2 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 3: We'll start by subtracting the digit 5 and the borrow 1 from 1 in column 3 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 4: We'll start by subtracting the digit 2 and the borrow 1 from 5 in column 4 and get 2.
2 is the next digit of our result.

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

So, 65111 - 52541 = 12570.