We can solve this together! We're beginning with 97538 and removing 31579 from it.

Step 1: We'll start by subtracting the digit 9 and the borrow 0 from 8 in column 1 and get -1.
We add -1 to 10 and get 9 as the first digit of the result.

Step 2: We'll start by subtracting the digit 7 and the borrow 1 from 3 in column 2 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 3: We'll start by subtracting the digit 5 and the borrow 1 from 5 in column 3 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 4: We'll start by subtracting the digit 1 and the borrow 1 from 7 in column 4 and get 5.
5 is the next digit of our result.

Step 5: We'll start by subtracting the digit 3 and the borrow 0 from 9 in column 5 and get 6.
6 is the next digit of our result.

So, 97538 - 31579 = 65959.