Let's get this math done. We have 6580 and 5110, and we're going to subtract the second number from the first.

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

Step 2: We'll start by subtracting the digit 1 and the borrow 0 from 8 in column 2 and get 7.
7 is the next digit of our result.

Step 3: We'll start by subtracting the digit 1 and the borrow 0 from 5 in column 3 and get 4.
4 is the next digit of our result.

Step 4: We'll start by subtracting the digit 5 and the borrow 0 from 6 in column 4 and get 1.
1 is the next digit of our result.

So, 6580 - 5110 = 1470.