There are 53 students on a field trip. One chaperone is needed for every 6 students. How many chaperones are needed.

First you have to split up the 53 students into groups of 6.

53/6 = 8 with reminder 5.

There are 8 groups of 6 students, so we know immediately that we need at least 6 chaperones.

But what to do about the 5 students left over?

We can either let them go unchaperoned, or else hire one more chaperone to keep an eye on that group even though there are less than 6 students in it.

I think the teachers and parents, and maybe even the students themselves, would all agree that the right thing to do is get one more chaperone for the 5 students.

So all together, they need 7 chaperones on the trip.

8 but there will be 5 left over so you would need someone to look after them 5 which means you will need 9