Alright, let's solve this problem step by step. We have 58553 and 36181, 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 3 in column 1 and get 2.
2 is the first digit of our result.

Step 2: We'll start by subtracting the digit 8 and the borrow 0 from 5 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 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 6 and the borrow 0 from 8 in column 4 and get 2.
2 is the next digit of our result.

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

So, 58553 - 36181 = 22372.