Recent posts on a static home page

First, Welcome!

I guess you use the file front-page.php for displaying your homepage.
What you have to do, is add the following code into your front-page.php:

<h2>Recent Posts</h2>
<ul>
<?php
    $args = array( 'numberposts' => '5' );
    $recent_posts = wp_get_recent_posts( $args );

    foreach( $recent_posts as $recent ){
        echo '<li><a href="' . get_permalink($recent["ID"]) . '" title="Look '.esc_attr($recent["post_title"]).'" >' .   $recent["post_title"].'</a> </li> ';
    }
?>
</ul>

More information about wp_get_recent_posts() can be found here.

Your template file will look something like the following:

<div id="main">
    <div class="new_post">
        ...
    </div>                                  
</div>

You could try putting this code into <div id="main"> right before the closing tag </div>:

<div id="main">
    <div class="new_post">
        ...
    </div>
    <h2>Recent Posts</h2>
    <ul>
    <?php
        $args = array( 'numberposts' => '5' );
        $recent_posts = wp_get_recent_posts( $args );

        foreach( $recent_posts as $recent ){
            echo '<li><a href="' . get_permalink($recent["ID"]) . '" title="Look '.esc_attr($recent["post_title"]).'" >' .   $recent["post_title"].'</a> </li> ';
        }
    ?>
    </ul>                               
</div>