The way I'm training right now, it comes out to 6-7 days a week. My workouts are not tied to days of the week, and body parts are mostly independent of each other. So it depends on how things happen to fall. I train legs once every 4 days, chest every 4 days, back, shoulders and arms every 6-7 days, calves and abs every 3-4 days. As those workouts rotate through, I'll either combine them, do 2xday, or move them forward or backwards a day, depending on my schedule. If I wanted to arrange it to be in the gym every day, I absolutely could.
A lot of these workouts are SHORT. I'm in contest prep on very low calories, so I really start dragging after about 3 exercises. Splitting it into short workouts allows me to keep my performance up. Something like this could be an option for you, but I wouldn't recommend trying to do full 15+ working set workouts 7 days a week.