I would roll or wrap one half of the quilt so it fits inside of the harp of your machine. Then sew in the middle of the quilt to the end that is not rolled. If you can keep rolling after you sew one section, that would be good. I would sew your square, back stitching or pulling up the threads and tying a knot, then proceed to the next square, doing the same. I would stop at the end of the squares. After you have the squares done, say four sewed down, I would unroll and do the other end. Then after that is done, roll in the opposite direction and proceed. I would do the borders along with the squares in one direction. Hope this suggestion helps you. I have seen it done this way.