We can solve this together! We're beginning with 827998 and removing 59031 from it.

Step 1: We'll start by subtracting the digit 1 and the borrow 0 from 8 in column 1 and get 7.
7 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 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 9 and the borrow 0 from 7 in column 4 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

Step 5: We'll start by subtracting the digit 5 and the borrow 1 from 2 in column 5 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 6: We'll start by subtracting the digit 0 and the borrow 1 from 8 in column 6 and get 7.
7 is the next digit of our result.

So, 827998 - 59031 = 768967.