Alright, let's solve this problem step by step. We have 59579 and 25214, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 9 in column 1 and get 5.
5 is the first digit of our result.

Step 2: We'll start by subtracting the digit 1 and the borrow 0 from 7 in column 2 and get 6.
6 is the next digit of our result.

Step 3: We'll start by subtracting the digit 2 and the borrow 0 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 5 and the borrow 0 from 9 in column 4 and get 4.
4 is the next digit of our result.

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

So, 59579 - 25214 = 34365.