Then I published it and now it covers parts of my navigation.
It looks like your gallery's embedding code should be within your <div id="content" class="vier"> ... </div> container. If you move the entire embedding code to within this container, then the gallery should be positioned to the right of your side menu. However, you may need to change the dimensions and/or the position of your <div id="content" class="vier"> ... </div> container in your 'ruthhahn.css' file. At the moment, the div may be too low down on your web page and have a limited width. Check (and change, if necessary) the following code in your 'ruthhahn.css' file.
div#content {
position: absolute;
top: 156px;
left: 270px;
height: 400px;
}
div#content.vier {
width: 528px;
}There is also an example of using a side menu in the Using a Resizable Gallery with a Header support section. You could perhaps copy the sample web page's code (view the source of the page in your browser) and swap the content of the side menu for your own navigation menu.
What I look to achieve is exactly "Juicebox Lite Embedded Example".
It you really want to exactly replicate the layout of the Juicebox Lite Embedded Example, you can copy the HTML code of the page (view the source of the page in your browser) and swap the sample gallery's embedding code for that of your own gallery.