I was just about to post back, that I thought I got it to work with this
#greybox {
background-color: #666666;
width: 619px;
padding-top: 5px;
--
#quicklinks {
width: 100px;
float: right;
--
#MainContentText {
width: 300px;
float: left;
padding-right: 5px;
padding-left: 5px;
--

It displays fine in DW now, and in IE7 (it's an internal site and we only have
IE 6 and 7 here)

So should I leave it like I have it now, or would it be better to go back to
what I had, and apply the code you listed.