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.
[-38.4, 10.11, -21.587, 152.359, -5.592, -86.934, 110.421, 82.976, -56.886, 187.533]