How do you dry out fresh flowers?

Air drying is the easiest method to preserve & dry flowers. Arrange flowers together as you would in the vase.
Tie them at the end with a string or rubber band. Tie to a hanger so that your flowers hang upside down. You can spray the flowers with hairspray or spray Gel to help in drying process, but it isn’t necessary .
Hang your flowers upside down for about two weeks in an area that has a good air circulation, has average room temperature, & doesn’t have a lot of light.
Also it’s not necessary, but If you want the flowers to have a nice shine, you can spray them with a clear gloss you get from a craft store, after the flowers have dried.

“The simplest way to preserve flowers is air drying. Gather material throughout the growing season. Once harvested, strip the foliage from the stems. Tie the stems into small bunches with rubber bands. Hang the loose bunches upside down in a warm, dry, well-ventilated place, such as an attic or shed. (Harvested flowers are usually hung to dry so that the stems dry straight.) Dry the plant material until it is thoroughly dry, usually 2 to 3 weeks.”
This site list plants that dry & preserve well:
http://www.ipm.iastate.edu/ipm/hortnews/2003/6-27-2003/everlast.html

Another way to preserve flowers is to use Silica Gel or other drying agents such as sand or cornmeal plus borax. Using this method is said to preserve the blossom more true to its original color and shape. You can use a mixture of borax and white cornmeal (2:1) or borax and sand (2:1) as a drying agent instead of Silica Gel. “These methods are “trial and error” because the flowers can be burned if embedded too long. About 10 days is the average if cornmeal is used, and about 16 days of drying is needed if sand is used.”
http://hgic.clemson.edu/factsheets/hgic1151.htm

Cut off most of the stem.Use container which can be sealed and place an inch or so of silica in the container’s bottom. Place the blossom upright and atop the silica layer. Gently separate the petals, positioning them to a desired final shape, and sprinkle additional silica around and in between each petal. Seal the container for 3 to 5 days, depending on the size of the bloom. Check the bloom periodically, but remember to recover it with the silica after each check. “It takes between two days and a week for flowers to dry, the length of time depends entirely on the type of flower you are drying, and I have discovered the best results are obtained by only drying one type of flower per container as those with thick fleshy petals will take longer to dry than those with thin papery petals.”
http://www.hintsandthings.co.uk/workshop/dryingflowers.htm

These sites shows various methods of preserving flowers:
http://www.ag.ndsu.edu/pubs/plantsci/landscap/h1037w.htm
http://www.gardenguides.com/how-to/tipstechniques/flowers/roses/preserveroses.asp

Good luck!!! Hope ths s helpful.