In this task, you will be given a list of numbers. The goal is to divide all the numbers in the list by a constant such that the sum of the resulting list is 1. The output should be rounded to 3 decimals.
[133.848, -2.942, 3.803, 30.679, 202.641, 70.503, 171.909, -96.225, -0.377, -14.674]