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: [126.888, 168.76, 70.177, -33.353, 169.892, 64.311]
Example Output: [ 0.224  0.298  0.124 -0.059  0.3    0.113]

Example Input: [103.286, -45.97, 115.495, 210.558, -96.143, 165.996, -86.865, -78.029]
Example Output: [ 0.358 -0.159  0.401  0.73  -0.333  0.576 -0.301 -0.271]

Example Input: [-78.836, 197.963, -30.617, 147.52, -88.01]
Example Output:
[-0.533  1.337 -0.207  0.997 -0.595]