Not Contain selector?

Not Contain selector?

I have read the documented jQuery api and have found that there is the following selectors:
  • Contains (name*=value)
  • Contains Word (name~=value)
  • Equals (name=value)
  • Not Equal (name!=value)

Is there some sort of "Not Contain" or "Not Contain Word"?
If there is, it is not documented, and name!~=value or name!*=value does not seem to work.

Currently I am trying to select all the div's in my document, but exclude div's with a certain class specified. Naturally one would assume Not Equal (class!=value) would be sufficient, but I sometimes have several classes applied to a div; I know multiple classes is not ideal for backwards compatibility for IE, however the company I work for uses multiple classes on many tags.

Maybe there is some sort of work around I am not seeing or aware of?