Question

How do you write a quotient of a number & $6$ as an expression?

Answer 1

Hint: Solving division problems is extremely easy if the student knows the relation between Quotient, Dividend, Divisor & remainder. Student should know the basic formula for solving the division numerical that is Dividend=Quotient*Divisor+ Remainder. With this formula in mind the student can solve the given sum. He has to assume the remainder to be $0$ for this particular problem.

Complete step-by-step answer:
In order to solve the sum, the student should know the definitions of the terms used in the formula.let us define the terms in short before moving onto the sum.
Quotient can be said as the quantity produced by division of $2$numbers.
Dividend can be said as the number to be divided. It is the whole that is to be divided into parts
Divisor is the number which divides another number either completely or partly with a remainder
Remainder is the amount left over after division.
In our example, let us consider a number $n$ for which the division has to be carried out.
It is given that $6$ is an expression, since the question involves finding quotients, the value of $6$ has to be treated as the divisor. Since there is no remainder we will take it as $0$.
Substituting it in the basic formula for division Dividend=Quotient*Divisor+ Remainder, we get
$n = quotient \times 6 + 0$
$\therefore \dfrac{n}{6}$= Quotient.
Therefore quotient can be expressed as $\dfrac{n}{6}or(n \div 6)$

Note: All the problems on division need to be solved keeping in mind this simple formula. Though this sum may look extremely easy, sometimes the numerical on division becomes complex where the student has to find the quotient for an algebraic expression. So if in such situations the student uses the quotient remainder formula he will not face any difficulty.