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.

[111.859, 165.734, -79.002, 108.777, 243.636, 51.569, 139.988, -71.07, 93.064]

[ 0.146  0.217 -0.103  0.142  0.319  0.067  0.183 -0.093  0.122]