If Alec has 14 fins and he puts the same number of fins on each of the 3 bottle rockets, then he would use a total of 14/3 = 4.666666... fins on each rocket.
Since Alec cannot use a fraction of a fin, he must use a whole number of fins on each rocket. The closest whole number to 4.666666... is 5. Therefore, Alec would put 5 fins on each rocket, and use a total of 15 fins (5 fins per rocket x 3 rockets = 15 fins).
Since he uses as many fins as he can, there would be 1 fin left over that he cannot use.