Let's dive into this subtraction. We'll start with 511766 and subtract 89303 from it.

Step 1: We'll start by subtracting the digit 3 and the borrow 0 from 6 in column 1 and get 3.
3 is the first digit of our result.

Step 2: We'll start by subtracting the digit 0 and the borrow 0 from 6 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 7 in column 3 and get 4.
4 is the next digit of our result.

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

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

Step 6: We'll start by subtracting the digit 0 and the borrow 1 from 5 in column 6 and get 4.
4 is the next digit of our result.

So, 511766 - 89303 = 422463.