We teach that there are two basic ways of understanding division. På norsk they are called delingsdivisjon and målingsdivisjon; sharing division and measurement division would be rough translations. The actual English terminology might be different.
Sharing division
You have three liters juice and seventeen guests as the birthday. How much is there for everyone to drink? Is it enough, too much, or too little? (To make for an open question that might be interesting in reality, too.)
Measurement division
You have three liters juice and drinking glasses where you can pour 5/3 deciliters juice to. How many glasses of juice can you fill? (And the same bonus question as above.)
I recommend doing these with concrete objects to anchor the mathematical understanding to the real world and operations there.
I am not quite answering the question you asked, but I hope this idea suggests how to move forward also in your case.