Let's dive into this subtraction. We'll start with 580681 and subtract 16347 from it.

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

Step 2: We'll start by subtracting the digit 4 and the borrow 1 from 8 in column 2 and get 3.
3 is the next digit of our result.

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

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

Step 5: We'll start by subtracting the digit 1 and the borrow 1 from 8 in column 5 and get 6.
6 is the next digit of our result.

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

So, 580681 - 16347 = 564334.