The expression "quotient of #27#" seems slightly grammatically incorrect and ambiguous without a context.
When we divide one number by another, it may give an exact result, or may be expressed as a quotient and remainder.
For example:
#192 / 7 = 27# with remainder #3#
The number #192# is called the dividend
The number #7# is the divisor
The number #27# is the quotient
The number #3# is the remainder
So you might say in this example: "When dividing #192# by #7# you get a quotient of #27# and remainder #3#". The word "of" here is not really needed or correct.
When we divide #27# by another whole number, it can only give an exact result if the divisor is a factor of #27#. You could use the expression "quotient of #27#" to mean any possible result of such a division. An example might be: "When dividing numbers by #3# the quotient of #27# is #9#.". This seems slightly cumbersome.
A better example would be "What is the quotient of #27# divided by #3#?". In this question "quotient of #27#" is not a noun in itself, the question is asking "What is the quotient when you divide #27# by #3#?"
