Okay, we are tasked with adding 3141114041 and 2893922128. Let's begin!

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

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

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

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

Step 5: We'll start by adding the digits 1 & 2 in column 5 and get 3.

Step 6: We'll start by adding the digits 1 & 9 in column 6 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 7: We'll start by adding the digits 1 & 3 in column 7 and get 5.

Step 8: We'll start by adding the digits 4 & 9 in column 8 and get 13.
We'll write down the last digit 3 and carry the 1 to the next column.

Step 9: We'll start by adding the digits 1 & 8 in column 9 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 10: We'll start by adding the digits 3 & 2 in column 10 and get 6.

So, 3141114041 + 2893922128 = 6035036169.

