Question

Use long division to find the quotient and check.
StartLongDivision 21 DividedInto 889 EndLongDivision
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Part 1
Select the correct choice below​ and, if​ necessary, fill in the answer​ box(es) to complete your choice.
A.
The quotient does not have a remainder. The quotient is
  
enter your response here.
B.
The quotient has a remainder not equal to zero. The quotient is
  
enter your response here R
  
enter your response here.
C.
The quotient is undefined.

Answer 1

To perform long division of \( 889 \) by \( 21 \), we'll go through the steps of the division:

1. **Set Up the Division**: We want to divide \( 889 \) by \( 21 \).

2. **Finding How Many Times 21 Fits into Each Part of 889**:
- First, see how many times \( 21 \) fits into the first two digits of \( 889 \), which is \( 88 \).
- \( 21 \) goes into \( 88 \) 4 times because \( 21 \times 4 = 84 \).

3. **Subtract**:
- Subtract \( 84 \) from \( 88 \):
\[
88 - 84 = 4
\]

4. **Bring Down the Next Digit**:
- Bring down the next digit from \( 889 \), which is \( 9 \), making it \( 49 \).

5. **Repeat**:
- Now see how many times \( 21 \) fits into \( 49 \).
- \( 21 \) goes into \( 49 \) 2 times because \( 21 \times 2 = 42 \).

6. **Subtract Again**:
- Subtract \( 42 \) from \( 49 \):
\[
49 - 42 = 7
\]

7. **We Are Done**:
- Since there are no more digits to bring down, we end our division here.

Now we can summarize the results:
- The quotient is \( 42 \) (from \( 4 \) and \( 2 \) in our steps).
- The remainder is \( 7 \).

So, the full answer is:
\[
889 \div 21 = 42 \quad R7
\]

Now, let’s check our work:

1. **Multiply the Quotient by the Divisor and Add the Remainder**:
- \( 21 \times 42 = 882 \)
- Then, add the remainder \( 7 \):
\[
882 + 7 = 889
\]

This confirms our division is correct.

Thus, the final answer is:
**B. The quotient has a remainder not equal to zero. The quotient is 42 R 7.**