If you are looking for free counseling online there are some options, though limited.
For starters, there are plenty of forums and chat sites that can provide a free counseling online counseling-like experience. Typically this sites will not have licensed professional available for assistance (or even non-licensed professionals). Instead these types of sites are centered around a community of members who help each other. They may include separate groups for different areas of difficulty. However, the process is often the same. An individual experiencing a problem who is looking for advice or support may post a story or a question. Other members respond with advice or even just words of empathy. These types of free online forums or groups are anonymous (each person creates a login identity and can share as little information about themselves as they would like). You would not be hard-pressed to find such a site, there are many of them out there!
There is also the other option of turning to sites that have professionals who actually respond to emails or engage in phone or video chats. These sites are typically paid site. However, many offer a few minutes of free counseling online. This free time can provide users the opportunity to gauge, as best they can, if they feel comfortable working with a particular provider before spending money. As with the forum and chat sites, there are plenty of these paid sites that offer a few minutes free.
As a note, in your search for free counseling online, you may find sites that emphasize the “free” first only to later mention fees or suggested donations. One such site even required the person interested buy a specific book in order to receive the counseling. This ultimately would make the free counseling online not really free (however, it probably would still be cheaper than other services).