Here is the code you can use to show a
<code><?php if( is_page(home) ) { ?> <div> This is the div that will only show up on the page named 'Home' </div> <?php } ?></code>
You can also have it show up on every page except for a particular page:
<code><?php if( !is_page(home) ) { ?> <div> This is the div that will only show up any page that is NOT named 'Home' </div> <?php } ?></code>
Let me know if you have any questions or trouble with this at all.