## get the coordinates of a matrix from its flatten index

How can we get the coordinates of a n dimensions matrix from its shape and its flatten index?

I mean, if for example I have the following (2,3) matrix of 2 dimensions:

Code:
[ [ 0, 1 ],
[ 2, 3 ],
[ 4, 5 ] ]
...and I want to find the value of the index in red from the coordinates [0,2], how can I do?

Or if I have this (2,2,5) matrix of 3 dimensions:

Code:
[ [ [ nil, nil ],
[ nil, nil ] ],
[ [ nil, nil ],
[ nil, nil ] ],
[ [ nil, 9 ],
[ nil, nil ] ],
[ [ nil, nil ],
[ nil, nil ] ],
[ [ nil, nil ],
[ nil, nil ] ] ]
...and I know the coordinates that I want have a flatten index value of 9, how can I find the relative coordinates are: [1,0,2]?

If possible, I would like to know a general and simple method, which work on matrix of any shape.