Replace Header Picture With HTML Code

I need to replace the header image with an HTML table so some of the areas will have links - I tried using an image map, but didn't work. I need to replace this code, which shows up viewing the source: <div id="header-image"> img src="http://www.mywebsite.com/wp-content/uploads/2013/10/image.png" width="1600" height="400" alt="" / </div> With an HTML table that puts together the same image (that's been cut up), so I can add links to some of the areas. Where in the template or style sheet can I make these changes? Thanks!