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.
[81.185, 15.069, 215.191, 190.05, 98.804, 154.685, 19.297, 151.285, -69.938, 38.787]