How do I block the online now notification on Facebook?

[Kevin]

I have Facebook Chat completely turned off, but it still shows people when I'm online and how long I've been online. Which is extremely annoying. I have looked everywhere and can't find any settings for this feature. Anyone know how to turn it off?
The online now indicator is attached to Facebook Chat. A little bubble will roll in and roll out with my default picture on it with a small green dot attached to it. It will also tell you how long you've been online and weather your on a mobile phone or not in a list underneath it. It's all a part of Facebook Chat which I have completely turned off. My friend's can still see when I am on Facebook or not by looking at this notification. Even when I am simply checking a notification from my phone for a second and then turning the application off immediately afterwards.