The story behind DigitalOcean's 10,000th virtual server launch highlights the importance of reliable web infrastructure for businesses like Naugi.com, a bridal tiaras and jewelry website. Dave, the owner of Naugi.com, was initially dissatisfied with his previous hosting provider after experiencing a lengthy outage that resulted in lost revenue. He discovered DigitalOcean through its free trial and launched the 10,000th virtual server, which earned him $500 in credits. Now, he can host his website at no cost for several years due to the accumulated credit.