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.

[190.886, 117.208, 112.502, 100.765, 4.135, 153.191, 182.426, 138.124, -3.1, -71.72]
[ 0.206  0.127  0.122  0.109  0.004  0.166  0.197  0.149 -0.003 -0.078]