Random matrix of Integers with fixed row sums in Julia

I would like to create a random matrix with the following constraints:

• all values should be Integer values
• fixed row sums (decreasing with row e.g. 100, 50, 10, 5 etc.)
• random values from 0 to 6

I tried to create a random matrix and scale it to my fixed row sums I want, but then I get the problem that I get Float values (rounding does not help either)

A = rand(0:6, 5, 10)

sum_vec = [10,5,3,2,2]

for i = 1:length(A[:,1])
    # row sum 
    s = sum(A[i,:])
    A[i,:]  = (A[i,:] /s ) * sum_vec[i]
end

Thanks a lot for your help!