can not repot dendrobium nobile :(

[Selcen]

Hi again,
Yesterday a dendrobium nobile followed me home from the grocery store. I decided to repot her to see what is going on with her roots, since they were hidden under a mix of sphagnum moss and bark. Well, all the roots came out as a very massive ball with almost cemented media. I tried to dig it off from here and there but it seems she has really lots of roots and all are tangled. Also I was interrupted by some roots during all my attempts. The roots which are outside seems fine but, do you have any idea how to untangle her roots without giving her harm?