Let's get this math done. We have 19665 and 6504, and we're going to subtract the second number from the first.

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

Step 2: We'll start by subtracting the digit 0 and the borrow 0 from 6 in column 2 and get 6.
6 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 6 and the borrow 0 from 9 in column 4 and get 3.
3 is the next digit of our result.

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

So, 19665 - 6504 = 13161.