If you use the drops and the tops about an equal amount of time try starting in the middle. Cut the tape roughly 60:40, fasten the 2 pieces of handlebar tape to the sides of the brake lever body (under the hoods) with a couple of bands of electrical tape. Apply the long end of the handlebar tape toward the handlebar stem and the short end toward the handlebar end. The open part of the overlap points away from you and in the direction of the pressure when you lean on the bars, both on the drops and on the tops at the bend behind the brake levers.
'84 Trek 660 , '88 Trek 1500 ,'89 Trek 400 , '97 Trek 720 , '99 Trek 2200, '02 Trek 520