We can solve this together! We're beginning with 7405 and removing 1662 from it.

Step 1: We'll start by subtracting the digit 2 and the borrow 0 from 5 in column 1 and get 3.
3 is the first digit of our result.

Step 2: We'll start by subtracting the digit 6 and the borrow 0 from 0 in column 2 and get -6.
We add -6 to 10 and get 4 as the next digit of the result.

Step 3: We'll start by subtracting the digit 6 and the borrow 1 from 4 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 1 and the borrow 1 from 7 in column 4 and get 5.
5 is the next digit of our result.

So, 7405 - 1662 = 5743.