tableless design

How can I design successful tableless css for all navigators?
I’ve got this html web page, which I intended to build with divs and no tables but i´m having trouble with firefox (the whole structure turns into a chaos), though it works fine with ie.
FF is a real stickler for the standards. Without seeing your page, the best I can say is:
1) Make sure you have the correct doctype set, as well as the correct encoding.
2) Use the W3C validators on it to make sure you are sticking to those standards.
3) There is a difference between IE and FF in how they compute the starting point for objects, and it equals about 5-6 pixels in length/height.
If you post the link, we might be able to give some better advice.