There are no such numbers since any number can be written as a quotient of itself and 1.
For example, pi = pi/1
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Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.
A quotient of two numbers cannot have a denominator which is zero: such a fraction is not defined.
Every number can be written as a quotient.Every rational number can be written as a quotient of whole numbers.
A quotient is the result of a division sum between two or more numbers. You cannot have a quotient of a single number.
That's an 'irrational' number.