There are 10 types of people-- those who understand binary, and those who don't.
Have you ever been over to someone's house-- someone who you thought that you knew-- and been offered a dirty glass for your drink? Not a recently-used glass, but one that has obviously been in a dishwasher and now has crusted "bits" in the bottom or on the side?
One that you don't know how to politely say to them, "I'd rather have a clean glass, thanks."?
One that makes you wonder what kind of secret life that they lead; that they could first of all allow such an occurrence to happen but most of all that they could be so unobservant about it? Are they blissfully ignorant or does this thing happen all the time, as you are convinced that it must, and they find it acceptable because they obviously can't afford to replace the dishwasher so they can abide the odd crumb floating in their milk, juice, or beer, and-- even when you are alone in the kitchen and attempt to swap it out you discover that none of their glasses match each other so it is going to be obvious that you swapped glasses and, yet, you check another glass and it, too, has some sort of filthy stain on the bottom and you realize that this is normality for them so the best you can do is attempt to rinse it out without asking them where they keep the scouring pads, which, you know in your heart of hearts, they must not even own, because otherwise the dishes that they use would obviouosly be cleaner than they are and, besides, it's crusted on so well that even a welding torch wouldn't remove it so why are you making such a big deal about a bit of old food which has been sanitized in a (admittedly inferior quality) dishwasher anyway so it's not like it's poisonous or anything so why does your stomach still turn, your bile still rise, your gag reflex still refuse to engage, and your mind refuse to shut off and ignore the attrocity that is your drinking vessel and-- god damn it! you've been in the kitchen by yourself for so long now that they probably think that you're pissing in their sink or masturbating, or something, so you'd better come up with a good excuse or, or, or maybe they're all talking and you can slip back into the room and no one is going to quiz you, because hey! why would they??
We don't have a dishwasher. I typically fill the sink up with hot soapy water and dump everything in. My approach is to grab a plate, or a handful of spoons, forks, and butter knives out of the soap, give them a quick scrubbing with a sponge/scourer, drop them in the 'clean' sink, and rinse them off at the end. Sometimes I miss a bit, or something was more stuck on and I didn't feel it when I was scrubbing or rinsing, and it makes it off of the drying rack and into the cupboard.
If I notice it when I'm setting the table, and it's egregious, I'll do something about it. But most of the time, my attitude is that those were washed, and if it bothers you, go and wash it yourself.
Important caveat: my wife does not, in any way, endorse what you have just read.
We don't have a dishwasher. I typically fill the sink up with hot soapy water and dump everything in.
This is your first mistake.
I have never owned a dishwasher, and have always followed this formula that Mum taught me when doing the dishes.
1. Fill the sink with hot soapy water, taking care not to dump everything in at once.
2. Wash glassware first, in water that has not had everything dumped in it. Glass is the most unforgiving thing to clean. Better to do it with the cleanest water.
3. Do plates and crockery next, in water that has not had everything dumped in it.
4. Do eating utensils and cooking pot/pans last. If you do these first, the water will be well and truly garked up for the glassware and other things. If they are really dirty and unrinsed it will be like you are trying to do the rest of your dishes in soup.