Prevent to close HTML Tags in appendFn

[KodaCHC]

Here is a simplified example

Normally my HTML code for appendFn

<div class="firstClass1">
    <div class="firstClass2">
        ...
    </div>
</div>

But sometimes it is this:

</div>
</div>
<div class="newClass1">
    <div class="newClass2">
        <div class="firstClass1">
            <div class="firstClass2">
                ...
            </div>
        </div>

appendFn deletes the closing DIV tags at the beginning.

Is there a way that appendFn does not remove these closing DIV tags?