As vapers we get our nic from absorption in the mouth and nose and NOT from inhalation. So it is sort of a different process than the direct lung inhale we were used to as smokers.
We suck the vapor into our mouth and hold it, some inhale a bit of it, then blow out through mouth and/or nose.
It is hard when first starting to relearn how to "Smoke" but for me anyways it fixed the choking/coughing.