Odds/Outs Question

I read on this forum many times how one can take possible outs and multiply those outs by 2 or 4 to get the rough % that you will make your hand on the turn and river respectively.


Example - you have 6 outs (overcards) so you roughly have a 12% chance of hitting your hand on the turn and a 24% on the river.


Now, if I do the card division:


I hold 2 cards - flop shows 3 so there's 47 cards left out there.


I need to hit 6 to make my hand.


47/6 = 7.83


What does that number mean? Wouldn't that roughly translate into the % that I would see one of my 6 cards on the next round?


I'm sure I'm just missing or overthinking here - but this is driving me nuts.