Try getting a reference to your div and reading the offsetWidth and offsetHeight properties:
var myDiv = document.getElementById('myDiv');
var width = myDiv.offsetWidth; // int
var height = myDiv.offsetHeight;
offsetWidth/Height cumulatively measures the element's borders, horizontal padding, vertical scrollbar (if present, if rendered) and CSS width. It's the pixel values of the entire space that the element uses in the document. I think it's what you want.
If that is not what you meant, and you'd rather only the element's width and height (i.e. excluding padding, margin, etc) try getComputedStyle:
var comStyle = window.getComputedStyle(myDiv, null);
var width = parseInt(comStyle.getPropertyValue("width"), 10);
var height = parsetInt(comStyle.getPropertyValue("height"), 10);
The values above will be the final, computed pixel values for the width and height css style properties (including values set by a <style> element or an external stylesheet).
This won't work in IE, however.
You say you are using jQuery. Well it's trivial now, and works cross-browser:
var width = $('div').css('width');
var height = $('div').css('height');
With jQuery you don't need the first part of this answer, it's all taken care of for ya ;)