I applied in-person. The process took 1 day. I interviewed at Monash University (Melbourne) in Jan 2008
Interview
It was an informal discussion with the person who looked after all of the tutors at Monash. She was interested to learn why I wanted to be a tutor, what experience I had and those sorts of issues. Technical ability did not come into nor did understanding of economics. She was not even interested in one's ability to control a class room full of rowdy students.