Using a billbord image created in FW in Joomla


I created in Adobe Fireworks CS5 a background image (.jpg file) and I dragged a button symbol onto that image. The button has a roll over effect and is clickable with a link (ie. has an active area).
The problem is…it works fine when I open exported .html document in a browser on my local PC.
But when I try to incorporate it into a Joomla article, the image is shown NOT as a whole, but separated slice by slice as you can see here:
What I do is I upload all the small sliced images into image/stories Joomla folder, alter an HTML code slightly to address that location change and copy-paste the code into an existing article (in no editor mode, of course).
What could be a solution to the problem?

Thanks in advance!