Hey there Drake and Josh fan! :) I just wanted to let you know (if you like them) that I've started a tumblr for Josh and Mindy :D joshandmindy.tumblr.com. Feel free to follow and spread the word if your heart so desires. Thanks!
I believe "That is not my job" is from the episode where Helen gets eye surgery and she reveals that she was a child actor on a sitcom where that line was her famous catch phrase. Drake imitates it several times throughout the episode.
To the OP of the question, idk if you wanted a gif of the first time he said it after watching it on TV or at the end of the episode so I’ll probably just post both.