Okay, let's tackle this math problem. We're starting with 63478 and subtracting 6982.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 8 in column 1 and get 6.
6 is the first digit of our result.

Step 2: We'll start by subtracting the digit 8 and the borrow 0 from 7 in column 2 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 3: We'll start by subtracting the digit 9 and the borrow 1 from 4 in column 3 and get -6.
We add -6 to 10 and get 4 as the next digit of the result.

Step 4: We'll start by subtracting the digit 6 and the borrow 1 from 3 in column 4 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

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

So, 63478 - 6982 = 56496.