Okay, we are tasked with adding 1182 and 5054. Let's begin!

Step 1: We'll start by adding the digits 2 & 4 in column 1 and get 6.

Step 2: We'll start by adding the digits 8 & 5 in column 2 and get 13.
We'll write down the last digit 3 and carry the 1 to the next column.

Step 3: We'll start by adding the digits 1 & 0 in column 3 and get 2.

Step 4: We'll start by adding the digits 1 & 5 in column 4 and get 6.

So, 1182 + 5054 = 6236.

