This quest in itself is self explanatory but by playing team rumble instead of the standard battle royale game modes will help you make fast progress on this quest. In team rumble you can respawn and you keep your weapons when you are eliminated. It is very easy to drop in, do some damage to the opposition team, rinse and repeat until you have this quest completed.

You can use any mechanical weapon for this quest but an epic or legendary assault rifle, submachine gun or shotgun is great for dealing some damage.