Here's how you can use AirDrop to share in iOS 7.
1. Go to the item you want to share via AirDrop.
2. Tap the Share icon.
3. Select who you want to share with and AirDrop will connect to your recipient's iOS 7 device.
4. A menu will popup on your recipient's device asking if they want to accept or decline your sharing.
That's it. You don't have to do anything else to share via AirDrop, it makes it easy and fast to share things with friends and family. Your shared file will be placed in the appropriate app on your recipient's device so they can easily access it.