What is the quotient of the following division problem: [tex]$30 \div 7=$[/tex]?

A. [tex]$4 \, r \, 2$[/tex]
B. [tex]$4 \, r \, 1$[/tex]
C. [tex]$5 \, r \, 1$[/tex]
D. [tex]$3 \, r \, 2$[/tex]



Answer :

To solve the division of 30 by 7 and find both the quotient and the remainder, we proceed as follows:

1. Identify the numbers involved: We have a dividend (30) and a divisor (7).

2. Determine how many times 7 can be subtracted from 30 without making the result negative (this will be our quotient):
- 7 times 4 is 28, which is the largest multiple of 7 that is less than or equal to 30. Therefore, the quotient is 4.

3. Calculate the remainder by subtracting the product of the divisor and quotient from the dividend:
- \(30 - (7 \times 4) = 30 - 28 = 2\).

So, after dividing 30 by 7, we get a quotient of 4 and a remainder of 2. The correct answer is:

A. [tex]\(4 \ r \ 2\)[/tex].