Let X be a Banach module over the commutative Banach algebra A with maximal ideal space Δ . We show that there is a norm-decreasing representation of X as a space of bounded sections in a Banach bundle π : ℰ → Δ , whose fibers are quotient modules of X . There is also a representation of M ( X ) , the space of multipliers T : A → X , as a space of sections in the same bundle, but this representation may not be continuous. These sectional representations subsume results of various authors over the past three decades.