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.

Example Input: [112.058, 77.578, 242.343, -59.165, 15.974, 225.295]
Example Output: [ 0.182  0.126  0.395 -0.096  0.026  0.367]

Example Input: [108.846, -19.959, -96.488, 89.424, 146.35, 68.236]
Example Output: [ 0.367 -0.067 -0.326  0.302  0.494  0.23 ]

Example Input: [167.016, 200.266, 149.232, 93.768, 224.443, 65.545, -84.297, -58.785]
Example Output:
[ 0.221  0.264  0.197  0.124  0.296  0.087 -0.111 -0.078]