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.
[59.777, 118.079, 123.994, 81.348, -82.142, 44.332, -59.384, 115.743, 187.519, -0.376]