Let's get this math done. We have 596997 and 10332, and we're going to subtract the second number from the first.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 7 in column 1 and get 5.
5 is the first digit of our result.

Step 2: We'll start by subtracting the digit 3 and the borrow 0 from 9 in column 2 and get 6.
6 is the next digit of our result.

Step 3: We'll start by subtracting the digit 3 and the borrow 0 from 9 in column 3 and get 6.
6 is the next digit of our result.

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

Step 5: We'll start by subtracting the digit 1 and the borrow 0 from 9 in column 5 and get 8.
8 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, 596997 - 10332 = 586665.