I am sure that many of you are not use to having roots growing everywhere but in the pot, but for orchids, this is a typical thing for them to do. It is in their nature to send roots everywhere looking of more points to anchor themselves. Therefore, due to their nature, you will never be able to keep all of the roots inside a pot. Also the roots are alive providing nourishment to the plant. IF you happen to have root rot these may be the only roots the plant has.
Some people try to bury the roots that keep growing out side of the pot.
This is not a good idea to do. There are two main types of roots, aerial and underground. All the roots consists of a central wiry thread which is surrounded by a moisture retaining part which in turn is coated by the white papery covering, called velamen. If you bury aerial roots they will suffocate and rot, if you expose underground roots to the air they will dry out and die. That said, there really are times when orchids do need to be repotted.