Instead of doing arithmetic operations using fuzzy membership functions for fuzzy numbers, parameterized representation of fuzzy numbers have been used in arithmetic operations in the literature. The most applied parameterized fuzzy numbers used in many of the research papers are symmetric and asymmetric triangular and trapezoidal fuzzy numbers. Although addition and subtraction of parameterized fuzzy numbers give closed form results, multiplication and division of these fuzzy numbers generate approximated results. Therefore, some approximation methods have been proposed for fuzzy multiplication and division. In this study, we propose a new approximation method based on linear programming for fuzzy division. In order to show the applicability of the proposed method, some examples are solved using this method and the: results are compared with those generated by other methods in the literature. The proposed method has produced better results than those generated by the others.