OK, let's do this. We've got 976927966 and 466882844, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 6 in column 1 and get 2.
2 is the first digit of our result.

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

Step 3: We'll start by subtracting the digit 8 and the borrow 0 from 9 in column 3 and get 1.
1 is the next digit of our result.

Step 4: We'll start by subtracting the digit 2 and the borrow 0 from 7 in column 4 and get 5.
5 is the next digit of our result.

Step 5: We'll start by subtracting the digit 8 and the borrow 0 from 2 in column 5 and get -6.
We add -6 to 10 and get 4 as the next digit of the result.

Step 6: We'll start by subtracting the digit 8 and the borrow 1 from 9 in column 6 and get 0.
0 is the next digit of our result.

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

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

Step 9: We'll start by subtracting the digit 4 and the borrow 0 from 9 in column 9 and get 5.
5 is the next digit of our result.

So, 976927966 - 466882844 = 510045122.