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.
[0.667, -28.701, -3.587, 237.941, 53.77, 91.893, 167.99, -11.822, -35.784, -67.813]