I applied in-person. The process took 1+ week. I interviewed at Target (Saratoga Springs, NY) in May 2015
Interview
Very basic and focused a lot on customer service situations...They seemed to care a lot about the people of Target and making sure I would fit with their values. I was in high school at the time and they do hire a lot of part-time/seasonal younger people, so be aware if this isn't the environment you'd like to be in