what happened to the malfoy family

Before Voldemort's ultimate defeat, the Malfoys switched sides; Narcissa lied to the Dark Lord in assistance of Harry Potter, and neither she nor Lucius participated in any of the fighting during the Battle of Hogwarts. None of the Malfoys were subsequently imprisoned in Azkaban because of this defection.
Draco then married Astoria Greengrass some time between 1998 - 2005, and had a son called Scorpius circa 2006. In 2017, Draco and Astoria were at King's Cross station to see Scorpius off to Hogwarts when Harry Potter saw him again.

- from link

well they stayed alive but lucius was probably sent to azkaban or was sentenced to the dementor's kiss and draco and narcissa were probably punished in some less severe way like house arrest or had their wands broke.