Best way to handle results from a search

Best way to handle results from a search

I'm using .post to send a search field to a server side page that processes the search and returns results to a div.  That works well.  However, I want to be able to have those results go out to another (different) page on the server and return data into another div.  How?

I tried returning the search results as an html hyperlink but the path will not work.  I'm using html5 so there is only one page on the client side (index.html) and the search form is contained in a div on that page.