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.
[20.058, -87.987, 231.254, 181.427, -93.203, 5.269, 182.848, 136.161, 57.187, 5.97]