Born in Redlands, California to Canadian parents, Reaume grew up in Nigeria for 13 years, where his parents John and Wendy worked in humanitarian aid. After moving to Canada, at the age of 15, Reaume began racing go-karts at Western Speedway on Vancouver Island. In 2004, he won the Junior Honda karting championship, followed by the Junior Rotax titles in 2005 and 2006. The following year, he moved to stock cars and began competing in the NASCAR Grand American Modifieds California Series in 2009. In 2010, he started Late model racing. The next year, he attempted the Toyota All-Star Showdown at Irwindale Speedway, but was relegated to the Last Chance Open, where he finished ninth.
In 2013, Reaume made his Camping World Truck Series debut at Iowa, driving the No. 07 Chevrolet Silverado for SS-Green Light Racing and finishing 25th. Two years later, he joined Trophy Girl Racing for the Truck race at Canadian Tire Motorsport Park, finishing 30th after stalling on the backstretch. He and the team returned at New Hampshire Motor Speedway, but failed to qualify. During a 2013 Pro Series East race, Rick Ware expressed interest in Reaume, signing him to Rick Ware Racing for his Nationwide Series debut at Richmond the following year; after qualifying 37th, he finished 30th. He ran ten more races in 2014 for Ware and JGL Racing, recording a best finish of 25th at Dover International Speedway. In 2015, Nigerian entrepreneur Victor Obaika, a friend of Reaume, signed him to Obaika Racing to drive the No. 97. After running the first two races and failing to qualify at Las Vegas Motor Speedway, he was replaced by Peyton Sellers. He later joined MBM Motorsports, running 12 races with the team in 2015 with a best finish of 29th at Michigan International Speedway. In 2016, Reaume failed to qualify for the second race at Atlanta Motor Speedway with MBM. He then drove the No. 93 to a 38th-place finish at Las Vegas Motor Speedway, and returned to MBM for the next race at Phoenix International Raceway, but failed to qualify. He then took charge of the No. 93, but failed to qualify at Talladega Superspeedway. In the next race at Dover International Speedway, he piloted the car to a 37th-place finish. Over the offseason between 2017 and 2018, Reaume laid the groundwork to field his own NASCAR Camping World Truck Series team, Reaume Brothers Racing, in 2018. The team failed to qualify for the season-opening race at Daytona International Speedway but continued towards its goal of a full-time schedule. In 2019, Reaume earned the first top 10 finish in his career at Daytona after qualifying in last place. In June 2020, Reaume Brothers Racing formed an alliance with Xfinity team RSS Racing in which Reaume took over operations of RSS's No. 93 car.
