I will be giving you an easy method for getting this achivement.
First thing you want to do is play enough through the game to where you can use blueprints during races, you earn this fairly early in the game but not straight away.
Simply go to any race in the game, and setup your own blueprint, use any car and any class. In the event settings set the difficulty to unbeatable, set to 1 lap and the max players to "off", this will mean you are the only racer in the event, then it's as easy as hitting publish and completing the event
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UPDATE: If you are doing a circuit race you can set the duration to 1 minute, this causes you to instantly win the event when it starts, so you don't even need to drive. Thanks to xXx B1GBR1T xXx for pointing it out in the comments)
You will notice the tracker for the achivement goes up. Just repeat this at 5 more different events and the achivement is yours :)
I will attach a video of me setting up the race if anyone really needs it. Ignore everything after the 45 second mark, it's just me completing the race