We can solve this together! We're beginning with 9161 and removing 419 from it.

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

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

Step 3: We'll start by subtracting the digit 4 and the borrow 0 from 1 in column 3 and get -3.
We add -3 to 10 and get 7 as the next digit of the result.

Step 4: We'll start by subtracting the digit 0 and the borrow 1 from 9 in column 4 and get 8.
8 is the next digit of our result.

So, 9161 - 419 = 8742.