Binary search + index

tal = [3,7,14,19,21,40,47,47,69,72,83,87,94,101]

sk = 101

while True:
    if sk == tal[(len(tal) // 2)]:
        print(sk, ' finns på index ')
        break
    elif sk < tal[(len(tal) // 2)]:
        tal = tal[:(len(tal) // 2)]
    elif sk > tal[(len(tal) // 2) ]:
        tal = tal[(len(tal) // 2):]
    print(tal)