Okay, let's tackle this math problem. We're starting with 27634 and subtracting 15530.

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

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

Step 3: We'll start by subtracting the digit 5 and the borrow 0 from 6 in column 3 and get 1.
1 is the next digit of our result.

Step 4: We'll start by subtracting the digit 5 and the borrow 0 from 7 in column 4 and get 2.
2 is the next digit of our result.

Step 5: We'll start by subtracting the digit 1 and the borrow 0 from 2 in column 5 and get 1.
1 is the next digit of our result.

So, 27634 - 15530 = 12104.