Let's get this math done. We have 582995 and 52001, and we're going to subtract the second number from the first.

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

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

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

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

Step 5: We'll start by subtracting the digit 5 and the borrow 0 from 8 in column 5 and get 3.
3 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, 582995 - 52001 = 530994.