Quickest and probably easiest way to get this to 'hot drop'. By this I mean, land in a densely populated area along the flight path and pick up the first weapon you can and try to take out some enemies before they can even prepare. Places like Bootcamp/Paradise resort in Sanghok or the school or Pochinski on Erangel. Switch to auto fire (left twice on the d-pad) and then rush up on people. It can also be advantageous to weapon up here and then listen carefully for others and peek round corners while waiting for them.
Alternatively, you can play it safe until you find a suppressor and aim to take people out that way but bear in mind late game a lot of people have ranged weapons.
For weapons I'd recommend aiming downsight with shotguns like the S12k or free firing with SMG's lke the UMP or the Vector.
Hope this helps.