Okay, we are tasked with adding 1137 and 4180. Let's begin!

Step 1: We'll start by adding the digits 7 & 0 in column 1 and get 7.

Step 2: We'll start by adding the digits 3 & 8 in column 2 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

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

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

So, 1137 + 4180 = 5317.

