Depends on the type of stabilizer. If it's iron on - no need to sew, just iron pieces in where you have a hole.
For Water soluable fiberous I take and cut my WS extra large because that way I can compensate for the amount you have excess all the way around and get much more on the water soluable - thus wasting less of it. If I am floating - often times you can use excess pieces. For cut away - zig zag works. Good Luck and for sure - save that stabilizer, especially at the cost of it today!