Suppose I have a div with some text in it
Title&
Not sure, if that's what you want, but you could make the inner div an inline-element. This way the border should be wrapped only around the text. Even better than that is to use an inline-element for your title.
Solution 1
Title
Solution 2
Title
Edit: Strange, SO doesn't interpret my code-examples correctly as block, so I had to use inline-code-method.