Alright, let's solve this problem step by step. We have 1017 and 4065 and we're adding them together.

Step 1: We'll start by adding the digits 7 & 5 in column 1 and get 12.
We'll write down the last digit 2 and carry the 1 to the next column.

Step 2: We'll start by adding the digits 1 & 6 in column 2 and get 8.

Step 3: We'll start by adding the digits 0 & 0 in column 3 and get 0.

Step 4: We'll start by adding the digits 1 & 4 in column 4 and get 5.

So, 1017 + 4065 = 5082.

