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.
[-82.672, 51.686, -46.969, -33.413, -35.817, 102.333, 222.877, 63.058, 145.042, 189.32]