Okay, let's tackle this math problem. We're starting with 395905 and subtracting 14498.

Step 1: We'll start by subtracting the digit 8 and the borrow 0 from 5 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 9 and the borrow 1 from 0 in column 2 and get -10.
We add -10 to 10 and get 0 as the next digit of the result.

Step 3: We'll start by subtracting the digit 4 and the borrow 1 from 9 in column 3 and get 4.
4 is the next digit of our result.

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

Step 5: We'll start by subtracting the digit 1 and the borrow 0 from 9 in column 5 and get 8.
8 is the next digit of our result.

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

So, 395905 - 14498 = 381407.