The Schelling model of segregation describes how a population of multiple types self-organize to form homogeneous clusters of one type. It was introduced by Nobel price winning economist Schelling in 1969, and is one of the earliest and most influential interacting-agent models studied by economists. We present the first mathematical description of the dynamical scaling limit of this model as the interaction length between the agents tends to infinity. In the one-dimensional case we describe the scaling limit of the limiting clusters obtained at time infinity.