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.
[-45.113, -15.919, -41.261, -81.6, -3.182, 11.255, -12.486, 176.997, 118.307, 108.315]