I generally use a ruler (perhaps a 4 or 5 inch) and ruler fold the scrap piece. Stack on a shelf so you can see the fabric color or design. I want them all the same size/ width on the fold side if possible.
Example: 1/2 yard piece. Fold in 1/2 selvage to fold. It is still 18 inches wide. Then either ruler fold or fold in half and half again. The piece would be 4 1/2 wide and easily stack.
The other option is to fold according to size of the drawer height. Stack in the drawer again so you can see the color. I use a double scrap book bin and store smaller pieces like that. I sort by color/type and easily pull just one piece of fabric without moving a stack.
http://www.joann.com/artbin-double-d...s/1492669.html
Find a way that works for you and use it for all scraps so they look organized and tidy.