Try using a piece of loo paper to take on the smell of your kitts wee/poo, and place it in the litter tray,also watch and see if they have certain behaviours leading up to the act and you'll be able to know best when to approach for teaching
Does he or she talk before they do their biz? Our cats and kittens run around(I suppose to get everything moving) right before they fill their trays
And some kitts are "toilet talkers"-in that they talk to tell you they need the loo, they talk getting into the loo and tell you what they're doing whilst using the loo
I agree that as cats are clean animals in general,he/she will want to be litter-trained as much as you want them to be, and with your persistence and patience, you will be a happy slave to a fully trained kitty who may surprise you and wash his/her paws afterwards too
I would use a damp cloth with a smidgen of washing up liquid to clean up any accidents
I am speaking of our cats/kitts now, but we've been quite fortunate in that mum does a great job of litter-training her kitts adn the odd one that takes a bit longer is usually(not always) the boys-very lazy and can be mardy , so i do think as your his/her "mum" you'll figure it out,and on the plus it's a great excuse to spend even more time with your kitt
Please do let us know how you both get on and keep at it,you'll get their