Cut your scrap fabric into strips three times longer than they are wide. An easy to work with size would be 2 1/2 inches by 7 1/2 inches. The bigger you want the quilt, the more strips you need. Choose three coordinating colors or patterns in non-stretch fibers for best results.
Sew two strips together in a "V" shape with the short end of one being sewn to the long edge of the other strip. Sew the pieces with the right sides facing and use a 1/4-inch seam. Continue adding strips by sewing the long side of the new strip to the short end of a previously sewn strip, continuing the herringbone pattern. Sew multiple panels together to create your quilt.
Trim your panel edges into smooth rectangles by using a rotary cutter, mat and ruler. Sew each panel to another along the long edge of each panel to create the quilt. Sew together with the right sides together and using a 1/4-inch seam.