Retirement tax questions

Thank you for your thorough answer.  I should have mentioned that I did NOT receive a 1099R , and there is no reference to this being a rollover.  I mentioned rollover because I'm familiar with that term and how it's handled.   

The following is the explanation provided by Schwab.  I have bolded the portion that applies to my situation.

"If the distribution is related to a Qualified account (such as an IRA), the distribution will not be taxable if it is deposited in the same Qualified account or another Qualified account you hold.  If the distribution is related to a non-qualified account (such as a taxable brokerage account), this distribution may be taxed and you may receive a Form 1099." 

I'm beginning to think I don't I need to do anything further, but if I should, how to report this.