Okay, let's tackle this math problem. We're starting with 54569 and subtracting 18186.

Step 1: We'll start by subtracting the digit 6 and the borrow 0 from 9 in column 1 and get 3.
3 is the first digit of our result.

Step 2: We'll start by subtracting the digit 8 and the borrow 0 from 6 in column 2 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

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

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

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

So, 54569 - 18186 = 36383.