Questions: Divide the following and then check by multiplying. 7048 ÷ 14 Select the correct choice below and, if necessary, fill in the answer box to complete A. The quotient does not have a remainder. The quotient is B. The quotient has a remainder not equal to 0. The quotient is R . C. The quotient is undefined.

Divide the following and then check by multiplying.

7048 ÷ 14

Select the correct choice below and, if necessary, fill in the answer box to complete A. The quotient does not have a remainder. The quotient is B. The quotient has a remainder not equal to 0. The quotient is R . C. The quotient is undefined.

Transcript text: Divide the following and then check by multiplying. \[ 7048 \div 14 \] Select the correct choice below and, if necessary, fill in the answer box to complete A. The quotient does not have a remainder. The quotient is $\square$ B. The quotient has a remainder not equal to 0 . The quotient is $\square$ R $\square$ . C. The quotient is undefined.

Solution

Solution Steps

To solve the division problem $7048 \div 14$, we need to perform integer division and check if there is any remainder. If there is no remainder, we select option A and provide the quotient. If there is a remainder, we select option B and provide both the quotient and the remainder.

Step 1: Perform the Division

We need to calculate $ 7048 \div 14 $. Performing the division gives us:

\[ \text{Quotient} = 503 \]

Step 2: Calculate the Remainder

Next, we calculate the remainder of the division:

\[ \text{Remainder} = 7048 - (14 \times 503) = 7048 - 7042 = 6 \]

Step 3: Determine the Correct Choice

Since the remainder is not equal to 0, we conclude that the quotient has a remainder. Therefore, we select option B:

\[ \text{B. The quotient has a remainder not equal to 0. The quotient is } 503 \, R \, 6 \]