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.
[-82.633, 230.706, 78.28, 221.083, 92.173, 181.354, 96.32, -71.15, 61.735, 149.01]