Free More Space iOS 8.3?

Hello!

I'm having this really really annoying issue with the new iOS 8.3 update on my iPhone 5S.

As soon as I connect my phone to my laptop (MacBook Air (11-inch, Mid 2012)) it offers me to do an update on my phone. After all confirms and downloads it says: ''The iPhone ''Kevin's iPhone'' could not be updated. The disk you are attempting to use is full. I was pretty confused. After deleting apps, photos, videos, etc. I tried it again. and agin. and again. It still does not work. I have 4,38GB free space on my phone!

If it helps here are some stats:

iPhone 5S 16GB iOS 8.2

MacBook Air (11-inch, Mid 2012) OS X Yosemite 10.10.2

iTunes 12.1.0.50

P.S: Sorry for my bad english 🙂