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.
[57.957, -38.534, 7.585, -33.582, 37.283, 174.346, 220.727, -73.763, 234.486, -98.624]