Custom Search Form

Hello,

I'm trying to find how to add a quick search form in my index.php that searches my history and bring the result in a specific div of the page (the same that the news are).

Something like this:

<form action="cutenews/search.php" method="GET">
   <input type="text" name="story"/>
   <input type="hidden" name="do" value="search">
   <input type="image" src="img/ok_button.png"/>
</form>

How can I do this, please?