Okay, let's tackle this math problem. We're starting with 34703 and subtracting 29144.

Step 1: We'll start by subtracting the digit 4 and the borrow 0 from 3 in column 1 and get -1.
We add -1 to 10 and get 9 as the first digit of the result.

Step 2: We'll start by subtracting the digit 4 and the borrow 1 from 0 in column 2 and get -5.
We add -5 to 10 and get 5 as the next digit of the result.

Step 3: We'll start by subtracting the digit 1 and the borrow 1 from 7 in column 3 and get 5.
5 is the next digit of our result.

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

Step 5: We'll start by subtracting the digit 2 and the borrow 1 from 3 in column 5 and get 0.
0 is the next digit of our result.

So, 34703 - 29144 = 5559.