Given the task definition and input, reply with output. 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.

[62.946, 115.858, 173.725, 186.176, 153.974, -82.599]

[ 0.103  0.19   0.285  0.305  0.252 -0.135]