I couldn't find a website that shows how my dd made my scarf. However, it's very simple if you use microfiber (fleece), as it does not fray. Cut a rectangle the width and length you want for the scarf (mine is about 12" wide and 36" long). On each short end, use a scissors to cut into the scarf about 1" apart and 2" deep. That's it.
Here is a website that shows how to make easy no-sew blankets out of fleece:
http://www.instructables.com/id/No-S...ece-Blanket-1/
These can be made smaller for pet blankets. Larger sizes are nice for watching football games, etc.