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.
[211.386, 178.985, -40.261, 183.554, -20.328, -1.071, -81.546, 145.35, 64.393, -62.599]