The phrase "to fit that description" means that someone or something possesses the qualities or characteristics that were described about them. Full definition
In other words, a hypothetical driver does not fit the descriptions of most drivers, in terms of the demographic info needed to produce a quote. (carinsurancecheap.net)
Unfortunately, hypothetical drivers just don't fit the descriptions of most drivers. (carinsurancecheap.net)
For me, a chic leather jacket will probably fits this description best. (prudencepetitestyle.com)