we learned that division expressions that have the same quotient and remainders are not necessarily equal to each other.explain how this is possible

Question

My teacher did an example but i dont understand.this is 5th grade math.

Answer 1

Let's say you divide 25 by 4.  You will get a quotient 6, but have that remainder of 1.  You could also divide 37 by 6, and likewise get a quotient of 6, with a remainder of 1.  The difference is that the remainders are not truly the same.  The first remainder is 1 part out of 4, but the second remainder is 1 part out of 6.  Does that make sense?