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.
[-8.828, 94.093, 38.294, -45.221, 175.741, 157.759, -17.487, 78.882, 19.655, -59.866]