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.
[-86.537, 184.014, 106.083, 154.492, -34.875, 202.281, 216.025, 178.107, 24.607, 38.49]