'continue until' in matlab

A123456

2016 1 13

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if N=1:12 and m=1:12, How can I write if mod(N,m)==0, continue until mod(N,m) doesn't equal 0? I also want the answer for each N to be the number of times it continued until it didn't equal 0

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A123456 2016-1-13

for example, if N=8 and m=2, 8/2=4 with remainder 0 and then 4/2=2 with remainder 0 and finally 2/2=1 with remainder 0. If i continue, 1/2=0.5, 0.5 is not an integer and will therefore give me a remainder. So I want to write a code that will stop before I get a non-integer.