wWhen you quilt a quilt with an embroidery machine, you don't HAVE to use a stabilizer. You can either hoop the quilt itself. Just open the hoop as wide as it will open.
Or, use an adhesive stabilizer. Hoop it with the adhesive up - usually you'll have to dampen the adhesive just before you pat the quilt on it- and lay the quilt on TOP of it. Pat the quilt firmly in place. In other words, DON'T HOOP the quilt.
All the other 'rules' about hooping apply: line up the quilt as you would line up your fabric for embroidering. If the machine starts to sew in the 'wrong' place, stop immediately and fix the problem.
I hope this helps.