Let's get this math done. We have 569589916 and 237321137, and we're going to subtract the second number from the first.

Step 1: We'll start by subtracting the digit 7 and the borrow 0 from 6 in column 1 and get -1.
We add -1 to 10 and get 9 as the first digit of the result.

Step 2: We'll start by subtracting the digit 3 and the borrow 1 from 1 in column 2 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 3: We'll start by subtracting the digit 1 and the borrow 1 from 9 in column 3 and get 7.
7 is the next digit of our result.

Step 4: We'll start by subtracting the digit 1 and the borrow 0 from 9 in column 4 and get 8.
8 is the next digit of our result.

Step 5: We'll start by subtracting the digit 2 and the borrow 0 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 3 and the borrow 0 from 5 in column 6 and get 2.
2 is the next digit of our result.

Step 7: We'll start by subtracting the digit 7 and the borrow 0 from 9 in column 7 and get 2.
2 is the next digit of our result.

Step 8: We'll start by subtracting the digit 3 and the borrow 0 from 6 in column 8 and get 3.
3 is the next digit of our result.

Step 9: We'll start by subtracting the digit 2 and the borrow 0 from 5 in column 9 and get 3.
3 is the next digit of our result.

So, 569589916 - 237321137 = 332268779.