Generating n random numbers that sum to some total k in some range

I'm trying to generate a set of random numbers that sum to some total in some range.

This problem is probably best described by example.

Say I want to generate 532 random numbers between 1 and 8 whose sum is equal to 1000. How could I achieve this? The application of this doesn't require a uniform distribution just some form of random numbers.

I did find that when using python, numpy can accomplish this via the following (without the range constraints)

numbers = numpy.random.multinomial(1000, numpy.ones(523)/523, size=1)[0]

This is great, however, I am looking for a C# solution as my project is written in .Net