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: