using .append to build a complex menu

using .append to build a complex menu

To build a menu block which should be switchable with hide/unhide of the menu items, I'm using .append html.
The code idea is this:

             navigat += '<h3 class="infoH3"> <a id="' + menuID +'"'
                             + ' href="javascript:slideMenu(\'' + menuSlider + '\');">'
                             +  menuName + '</a></h3>';
                                                   
             navigat += '<div id="' + menuSlider + '" style="display:none">';
             navigat += '    <ul>';
             navigat += '       <li>aMenu1</li>'
             navigat += '       <li>aMenu2</li>'
             navigat += '       <li>aMenu3</li>'
             navigat += '    </ul>';
             navigat += '<!-- menuName Slider --></div>';
             $("#someElement").append (navigat);

This is doing well .. so far.

But the point is:: 
I use JS to read the required menu items (eg. 'aMenu1' together with title and/or link info)  from a file to build all that, eg. for 'aMenu1' a complex <a ..> is composed and $("#someElement").append(someString) is used to add that the 'someElement'.
 
At the moment I build those html elements line by line. Also OK .. as far as the resulting string has the opening and closing tag, eg. "<li>aMenu2</li>".

As can be seen from above posted code there is a line "<div id="' + menuSlider + '" style="display:none">".
Appending that -- AFAIS -- the .append is automatically (????)  adding "</div>" which closes the statement.
That breaks my idea of the whole concept! The menu part isn't included in the 'menuSlider '.

QQ: How to change it -- NOT to have that "</div" added to it??

Günter