You can save it using CSS rather than tables...
-- Use the "save for web" option
-- click the "save" button once the images are optimized correctly
-- In the "settings" dropdown (just below the "format" dropdown) select "Other"
-- In the output settings dialog (pops up when you select "Other") select "slices"
-- Use the "generate CSS" option, rather than "generate tables"
That said... I don't use Photoshop to do my coding, and I really don't know any professional who does. I don't trust the code that it generates, even if you save it using CSS for layout, rather than tables. It uses a lot of absolute positioning (which can be difficult to understand/edit later) and in general seems to generate messy code.