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: [1, 2, 3]
Example output: [0.167, 0.333, 0.500]
Example explanation: The output list sums to 1.0 and has the same weight as the input 0.333 is twice as large as 0.167, .5 is 3 times as large as 0.167, and 0.5 is 1.5 times as large as 0.333. This is a good example.
Q: [52.087, -80.049, 63.574, 109.234, 17.078, 244.538, 94.539, -24.134]
A:
[ 0.109 -0.168  0.133  0.229  0.036  0.513  0.198 -0.051]