When dividing the expression \( 4x + 2y - 82b \), the quotient will depend on the nature of the division (e.g., by a monomial, polynomial, or specific values). However, looking at the expression itself, it contains three variables: \( x \), \( y \), and \( b \).
If the division is by a term involving these variables, the quotient could retain one or more of these variables. The exact number of variables in the final quotient will depend on the divisor used in the division.
In general, if you divide a polynomial by another polynomial, the resulting quotient can still have the same variables present. Therefore, the number of variables in the quotient, as derived from \( 4x + 2y - 82b \), will still involve the variables \( x \), \( y \), and \( b \), assuming the divisor does not eliminate any of these variables.
Answer: 3 variables (x, y, b) will be present in the quotient.