Do you know HTML and CSS?
Here is a great resources to start learning how you can create HTML and CSS based web site instead of table based web site in Fireworks.
Hope this can help you to understand the workflow.
You need to export the text ares as HTML slices rather than image slices. You can do that in the Properties panel . Even so, there's no guarantee the page won't break when entering text. You are better off exporting the images from Fireworks nd using them in an HTML page you create in Dreamweaver.