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.
[18.535, -55.856, -51.148, 179.082, 218.205, 215.946, -5.527, 164.708, 149.641, 8.971]