Okay, we are tasked with adding 4781 and 6815. Let's begin!

Step 1: We'll start by adding the digits 1 & 5 in column 1 and get 6.

Step 2: We'll start by adding the digits 8 & 1 in column 2 and get 9.

Step 3: We'll start by adding the digits 7 & 8 in column 3 and get 15.
We'll write down the last digit 5 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 4 & 6 in column 4 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

So, 4781 + 6815 = 11596.

