We can solve this together! We're beginning with 43042 and removing 27787 from it.

Step 1: We'll start by subtracting the digit 7 and the borrow 0 from 2 in column 1 and get -5.
We add -5 to 10 and get 5 as the first digit of the result.

Step 2: We'll start by subtracting the digit 8 and the borrow 1 from 4 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 7 and the borrow 1 from 0 in column 3 and get -8.
We add -8 to 10 and get 2 as the next digit of the result.

Step 4: We'll start by subtracting the digit 7 and the borrow 1 from 3 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 4 in column 5 and get 1.
1 is the next digit of our result.

So, 43042 - 27787 = 15255.