It's easier to join games then to wait for others to join you. Although, if you have a boosting partner or a friend, you can just do it that way. But if you're not lucky enough to have those options, then your best bet would be to press
then go to Quick Join. This will put you into a random match (If there are any available). Just complete quests with this person and hope they don't kick you. If they're not doing quests, find someone else who is.
This achievement is pretty annoying to do with randoms because everyone wants to kick you, and never do quests.