The OP did everything right. When the tank sprayers can't get it all ("stuff" happens?) stick a hose down the toilet and break up the stuff and get it all done as best you can.
The "visual" was his choice :)
Now a non-problem. Just keep using and dumping.
One thing you might not have that helps is a plastic see-through attachment to the sani-hose so you can see if you are really done dumping or if white paper clumps are still going by the viewing "window" It is actually quite entertaining, better than most television shows!
That way you can tell if your built in sprayer is finished doing any good and you can shut it all down, or if you need to keep at it.