Let's solve this addition problem. We have 3006 and 5134, and we need to add them together.

Step 1: We'll start by adding the digits 6 & 4 in column 1 and get 10.
We'll write down the last digit 0 and carry the 1 to the next column.

Step 2: We'll start by adding the digits 0 & 3 in column 2 and get 4.

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 3 & 5 in column 4 and get 8.

So, 3006 + 5134 = 8140.

