We can solve this together! We're beginning with 81966 and removing 35162 from it.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 6 in column 1 and get 4.
4 is the first digit of our result.

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

Step 3: We'll start by subtracting the digit 1 and the borrow 0 from 9 in column 3 and get 8.
8 is the next digit of our result.

Step 4: We'll start by subtracting the digit 5 and the borrow 0 from 1 in column 4 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 5: We'll start by subtracting the digit 3 and the borrow 1 from 8 in column 5 and get 4.
4 is the next digit of our result.

So, 81966 - 35162 = 46804.