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 <em>7 chaperones</em> on the trip.