The White dot can retrace its steps. Directional arrows force movement in 1 direction.
Passing through a diagonal line: that's not division. It means that that spot will become a wall. Some parts of the maze must be traversed multiple times.
There are 125 free levels. I've done about 40 levels. You can buy 300,000 levels. I'm not sure, but I think that could be a record. Of course, some puzzle apps generate an infinite number of levels.