Refresh <div> element generated by a django template

How do I refresh a certain element within a django template?
Example:

{% if object.some_m2m_field.all %}
    <h3>The stuff I want to refresh is below</h3>
    <div id="the-div-that-should-be-refreshed">
    {% for other_object in object.some_m2m_field.all %}
        <a href="www.example.com">{{ other_object.title }}</a>
        &nbsp;
    {% endfor %}
    </div>
{% endif %}

Lets say some other element in the page triggers a javascript that should refresh the div above. Is there a way to cause django to refresh this specific element within the template?

If not, I'll have to monkey-patch the div using regular JS or jQuery methods and not use the great power of django's template layer. Also, the above code is a simplification of the actual template, I use much of the template's power, so monkey-patching the resulting html will be a nightmare...