To find the quotient of 45 and 3 6/7,
(45) / (3 6/7)
(45) / (27/7) [convert the mixed number to an improper fraction]
(45) * (7/27) [to divide by fraction, invert denominator and multiply]
315 / 27
35 / 3 [optionally, reduce fraction]
11 2/3 [convert improper fraction to mixed number]