Top lane: For people who like to test themselves in 1v1s.
Jungle: For people who like to scare the crap out of the enemy.
Mid lane: For people who like to control the map and play high skill cap champions.
Bot carry: For people who like dealing tons of damage and have a lot of trust in their team.
Support: For people who care more about setting up big plays then grabbing all the glory and gold.
These are just factors that can cause you to enjoy a certain position more than others. Additionally, I offer you this list of skills that are valued in each position...
Top lane: Rewards players with good map awareness and who know how to snowball an advantage or come back from a lost lane
Jungle: Rewards players who know when it's time to go in and understand positioning enough to exploit someone who positions poorly
Mid lane: Rewards players who know how to use abilities in combos and land/dodge skillshots
Bot carry: Rewards players who know how to last hit and stutter step/attack move/kite
Support: Rewards players with good game sense and good resource management (gold, mana, consumables, etc.)