Okay, let's tackle this math problem. We're starting with 466064 and subtracting 41608.

Step 1: We'll start by subtracting the digit 8 and the borrow 0 from 4 in column 1 and get -4.
We add -4 to 10 and get 6 as the first digit of the result.

Step 2: We'll start by subtracting the digit 0 and the borrow 1 from 6 in column 2 and get 5.
5 is the next digit of our result.

Step 3: We'll start by subtracting the digit 6 and the borrow 0 from 0 in column 3 and get -6.
We add -6 to 10 and get 4 as the next digit of the result.

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

Step 5: We'll start by subtracting the digit 4 and the borrow 0 from 6 in column 5 and get 2.
2 is the next digit of our result.

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

So, 466064 - 41608 = 424456.