The floor here is a bit of film jargon, referring to the floor of a studio. As explained in A Dictionary of Confusable Phrases (2010) by Yuri Dolgopolov, on the floor means
- in a movie or TV studio: I'll make a shooting script…. It'll be something you can go on the floor with. 2. (of a film) being shot; in production: At Elstree, only one film, the Guinea Pig, is on the floor
(it is in the "confusable phrases" dictionary in contrast to on the shop floor).
The OED similarly has, under floor (n.1):
d. spec. The floor of a studio where films or television programmes are shot; hence used allusively: (a) a film or television studio; (b) in phr. on the floor, of a film: in production.
Thus, a film that is going on the floor or going on floors is one going into production, i.e. that has graduated from development and pre-production. In Western entertainment media, however, this phrasing seems to be rather rare. Its use in popular culture seems to be limited to the Indian subcontinent. A Hollywood movie doesn't go on the floor, it goes into production or starts shooting.