Okay, let's tackle this math problem. We're starting with 90966 and subtracting 32430.

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

Step 2: We'll start by subtracting the digit 3 and the borrow 0 from 6 in column 2 and get 3.
3 is the next digit of our result.

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

Step 4: We'll start by subtracting the digit 2 and the borrow 0 from 0 in column 4 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 5: We'll start by subtracting the digit 3 and the borrow 1 from 9 in column 5 and get 5.
5 is the next digit of our result.

So, 90966 - 32430 = 58536.