We can solve this together! We're beginning with 74182 and removing 15520 from it.

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

Step 2: We'll start by subtracting the digit 2 and the borrow 0 from 8 in column 2 and get 6.
6 is the next digit of our result.

Step 3: We'll start by subtracting the digit 5 and the borrow 0 from 1 in column 3 and get -4.
We add -4 to 10 and get 6 as the next digit of the result.

Step 4: We'll start by subtracting the digit 5 and the borrow 1 from 4 in column 4 and get -2.
We add -2 to 10 and get 8 as the next digit of the result.

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

So, 74182 - 15520 = 58662.