Let's get this math done. We have 82000 and 20415, and we're going to subtract the second number from the first.

Step 1: We'll start by subtracting the digit 5 and the borrow 0 from 0 in column 1 and get -5.
We add -5 to 10 and get 5 as the first digit of the result.

Step 2: We'll start by subtracting the digit 1 and the borrow 1 from 0 in column 2 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 3: We'll start by subtracting the digit 4 and the borrow 1 from 0 in column 3 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 4: We'll start by subtracting the digit 0 and the borrow 1 from 2 in column 4 and get 1.
1 is the next digit of our result.

Step 5: We'll start by subtracting the digit 2 and the borrow 0 from 8 in column 5 and get 6.
6 is the next digit of our result.

So, 82000 - 20415 = 61585.