We can solve this together! We're beginning with 923559434 and removing 353563669 from it.

Step 1: We'll start by subtracting the digit 9 and the borrow 0 from 4 in column 1 and get -5.
We add -5 to 10 and get 5 as the first digit of the result.

Step 2: We'll start by subtracting the digit 6 and the borrow 1 from 3 in column 2 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 3: We'll start by subtracting the digit 6 and the borrow 1 from 4 in column 3 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 4: We'll start by subtracting the digit 3 and the borrow 1 from 9 in column 4 and get 5.
5 is the next digit of our result.

Step 5: We'll start by subtracting the digit 6 and the borrow 0 from 5 in column 5 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 6: We'll start by subtracting the digit 5 and the borrow 1 from 5 in column 6 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 7: We'll start by subtracting the digit 3 and the borrow 1 from 3 in column 7 and get -1.
We add -1 to 10 and get 9 as the next digit of the result.

Step 8: We'll start by subtracting the digit 5 and the borrow 1 from 2 in column 8 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 9: We'll start by subtracting the digit 3 and the borrow 1 from 9 in column 9 and get 5.
5 is the next digit of our result.

So, 923559434 - 353563669 = 569995765.