Filter out Office365 extra code?

My client uses Office365 and it fills his email with a ton of unnecessary code — empty paragraphs, classes, and meaningless inline styles — much of which is of no consequence, BUT, it does add in two <div>s at the beginning (and end) of the message that affect the cascade of the style sheet specifiers and prevents things like lists from rendering correctly.

Is there any way to strip/filter this unneeded html? I hope the answer isn’t to go all the way to straight text, as my client would like to “make it look pretty.”

As a last resort, I suppose I could add some css to at least get the lists to look OK, but would rather hit it from head end.

Thanks