Okay, let's tackle this math problem. We're starting with 77804 and subtracting 34714.

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

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

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

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

Step 5: We'll start by subtracting the digit 3 and the borrow 0 from 7 in column 5 and get 4.
4 is the next digit of our result.

So, 77804 - 34714 = 43090.