Get your shirt and smooth out all the wrinkles. (Ignore my foot)

Fold the sleeves in (Make sure to keep out the wrinkles!)

Fold the bottom part of the shirt up. Ignore my foot again. (You get the point with the wrinkles)

Fold the part you just folded up to the back

Fold the top part halfway over

Fold the bottom part over the part you just folded

Roll up.

Should look like this

Take the first flap you see and pull it around the shirt. It may take you a few tries to master:

Finished product. Ignore my hand. Not my best one, but it's passable.