You can get the content by
$Content = file_get_contents($url);
Then explode it by
$Head = explode( '<div class="module question_card_categories jsparams js-question_card_categories">' , $Content );
And explode it till the </div> by
$Body = explode("</div>" , $Head[1] );
So, If this is your html file
<div class="module question_card_categories jsparams js-question_card_categories">Hellow Here i am </div>>
You can get the content by
<?php
$url = 'Yourfile.html';
$Content = file_get_contents($url);
$Head = explode( '<div class="module question_card_categories jsparams js-question_card_categories">' , $Content );
$Body = explode("</div>" , $Head[1] );
echo $Body[0];
Result :
Hellow Here i am
Here is the Eval
Update :
As the user want to get the categories of this url
<?php
$url = 'http://www.answers.com/Q/What_is_the_verb_of_receipt';
$Content = file_get_contents($url);
$Head = explode( '<ul class="categoryMenu categories">' , $Content );
$Body = explode("</ul>" , $Head[1] );
echo $Body[0];
$awas the source file ?