Hold a little tension on the string while you loop the free end back down between the tuner posts and underneath the string:
Pull the free end so that the loop pulls tight against the tuner post. Then bring the free end over the string and give it a little kink downward:
Now all you have to do is wind the string up and tune it to pitch:
Once the string is tuned just cut the free end off very close so you won't get stuck by a sharpie!
Well, that's the trick we all use. Most manufactures do too, because it makes for quick and easy work; it allows for easy removal.
Oh, and yes, some musicians leave the entire loose end of the string attached and coiled at the peghead:
It may have a cool, casual look but those coils are likely to rattle and buzz.
And, some players get confused about which one goes to which tuner:
This one is quite a study in confusion. Its owner complained about difficulty in tuning, which is no surprise, considering that five are wound backwards, and four of them go to the wrong posts. Yes, it really did come into the shop strung like this.