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If a particular random number selected is outside the range of equal distribution of re-scaling values, it is permissible to discard that random number and select the next in sequence, or some other acceptable method, for the purpose of re-scaling.

bla?

Not really sure but I suspect it has to do with the fact there are billions of random numbers generated that need to be mapped into 52 (or more) cards. You end up dividing 52 into that total number and there will be some remainder. The result is the set of number of random numbers which map into a particular card. The few numbers associated with the remainder cannot be used or you would have some card(s) that would have a higher chance of being selected.
 
I believe that is what is meant by "outside the chance of equal distribution". If one of these numbers comes up it is simply discarded and another random number selected.
 
Hopefully, this makes sense ... if not, I can provide an example.

If a particular random number selected is outside the range of equal distribution of re-scaling values, it is permissible to discard that random number and select the next in sequence, or some other acceptable method, for the purpose of re-scaling.

Interested where this sentence came from. Might help in deciphering it.

"meen"Really? And we're attempting to give this post credibility.

"meen"

Really? And we're attempting to give this post credibility.

Real numbers guys can't spell..

"meen"Really? And we're attempting to give this post credibility.

   How meen  of you.   I think I understand what Shadowman said. As he suggested, an example might help clarify it for sure.

I was just reading up on some of the gaming regulations from our area and I ran up on this line and couldn't make heads or tails as to what it meant.

Not the first word I've misspelled and it probably won't be my last, every site has to have a grammar queen.

An example. A typical RNG uses a 32 bit or 64 bit algorithm. A new number is generated by shifting the bits around. The reason for this particular size is because that is the size of the computers internal processing unit.
 
With 32 bits there are 4 billion possible numbers that can be created. If you divide 4 billion by 52 you get about 82 million  numbers per card with almost 80 million numbers left over. The computer will map whatever number is generated into the 52 cards by dividing by the 82 million number. Occasionally, a value for those left over 80 million numbers will be generated and won't map into the 1-52 number that represents the 52 card deck.
 
It is these numbers that are referred to as "outside the range of equal distribution".
 
Hopefully, this helps clear it up.