Alright, let's solve this problem step by step. We have 845088182 and 838977465, and we're subtracting the second number from the first.

Step 1: We'll start by subtracting the digit 5 and the borrow 0 from 2 in column 1 and get -3.
We add -3 to 10 and get 7 as the first digit of the result.

Step 2: We'll start by subtracting the digit 6 and the borrow 1 from 8 in column 2 and get 1.
1 is the next digit of our result.

Step 3: We'll start by subtracting the digit 4 and the borrow 0 from 1 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 7 and the borrow 1 from 8 in column 4 and get 0.
0 is the next digit of our result.

Step 5: We'll start by subtracting the digit 7 and the borrow 0 from 8 in column 5 and get 1.
1 is the next digit of our result.

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

Step 7: We'll start by subtracting the digit 8 and the borrow 1 from 5 in column 7 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 8: We'll start by subtracting the digit 3 and the borrow 1 from 4 in column 8 and get 0.
0 is the next digit of our result.

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

So, 845088182 - 838977465 = 6110717.