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.
[39.256, 32.741, 183.933, -65.366, -93.099, 86.749, 150.182, 175.493, 172.78, -41.428]