Okay, let's tackle this math problem. We're starting with 80847 and subtracting 45584.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 7 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 4 in column 2 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 3: We'll start by subtracting the digit 5 and the borrow 1 from 8 in column 3 and get 2.
2 is the next digit of our result.

Step 4: We'll start by subtracting the digit 5 and the borrow 0 from 0 in column 4 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 5: We'll start by subtracting the digit 4 and the borrow 1 from 8 in column 5 and get 3.
3 is the next digit of our result.

So, 80847 - 45584 = 35263.