Compute Using Long Division: $238 \div 11$A. 227 B. 21 R7 C. 249 D. 22 R7

Mar 12, 2025 by ADMIN 79 views

**Compute using long division: 238 ÷ 11**

Understanding the Problem

Long division is a mathematical operation that involves dividing a number by another number to find the quotient and the remainder. In this problem, we are required to compute the result of 238 divided by 11 using long division. This operation will give us the quotient and the remainder, which will help us determine the correct answer.

Step 1: Write the dividend and divisor

To begin the long division process, we need to write the dividend (238) on top of a line, and the divisor (11) below it.

  ____________________
11 | 2 3 8

Step 2: Divide the first digit of the dividend

The first step in long division is to divide the first digit of the dividend (2) by the divisor (11). However, since 2 is less than 11, we cannot divide it directly. Therefore, we will add a zero after the 2 to make it 20, which is divisible by 11.

  ____________________
11 | 2 0 3 8

Step 3: Perform the division

Now that we have a number that is divisible by 11 (20), we can perform the division. We will divide 20 by 11, which gives us a quotient of 1 with a remainder of 9.

  ____________________
11 | 2 0 3 8
   - 11
    ------
     9 8

Step 4: Bring down the next digit

Since we have a remainder of 9, we will bring down the next digit of the dividend (3) and add it to the remainder.

  ____________________
11 | 2 0 3 8
   - 11
    ------
     9 8 3

Step 5: Perform the next division

Now that we have a number that is divisible by 11 (983), we can perform the division. We will divide 983 by 11, which gives us a quotient of 89 with a remainder of 4.

  ____________________
11 | 2 0 3 8
   - 11
    ------
     9 8 3
   - 89
    ------
      4

Step 6: Bring down the next digit

Since we have a remainder of 4, we will bring down the next digit of the dividend (8) and add it to the remainder.

  ____________________
11 | 2 0 3 8
   - 11
    ------
     9 8 3
   - 89
    ------
      4 8

Step 7: Perform the final division

Now that we have a number that is divisible by 11 (48), we can perform the division. We will divide 48 by 11, which gives us a quotient of 4 with a remainder of 4.

  ____________________
11 | 2 0 3 8
   - 11
    ------
     9 8 3
   - 89
    ------
      4 8
   - 4
    ------
      4

Step 8: Write the final answer

Now that we have completed the long division process, we can write the final answer. The quotient is 21, and the remainder is 7.

Conclusion

In this problem, we used long division to compute the result of 238 divided by 11. The quotient is 21, and the remainder is 7. This operation is an example of how long division can be used to solve division problems.

Answer

Understanding the Problem

Q&A Session

Q: What is long division?

A: Long division is a mathematical operation that involves dividing a number by another number to find the quotient and the remainder.

Q: Why do we need to use long division?

A: We need to use long division to solve division problems that involve large numbers or decimals.

Q: How do we perform long division?

A: To perform long division, we need to write the dividend (the number being divided) on top of a line, and the divisor (the number by which we are dividing) below it. We then divide the first digit of the dividend by the divisor, and continue the process until we have divided all the digits of the dividend.

Q: What is the quotient and the remainder?

A: The quotient is the result of the division, and the remainder is the amount left over after the division.

Q: How do we determine the correct answer?

A: To determine the correct answer, we need to look at the quotient and the remainder. In this problem, the quotient is 21, and the remainder is 7.

Q: What is the correct answer?

A: The correct answer is B. 21 R7.

Common Mistakes

Not writing the dividend and divisor correctly: Make sure to write the dividend on top of a line, and the divisor below it.
Not performing the division correctly: Make sure to divide the first digit of the dividend by the divisor, and continue the process until you have divided all the digits of the dividend.
Not determining the correct quotient and remainder: Make sure to look at the quotient and the remainder to determine the correct answer.

Tips and Tricks

Use a pencil and paper: It's always a good idea to use a pencil and paper to perform long division, so you can erase any mistakes.
Check your work: Make sure to check your work to ensure that you have performed the division correctly.
Practice, practice, practice: The more you practice long division, the more comfortable you will become with the process.

Conclusion

In this article, we have discussed the process of long division, and how to use it to solve division problems. We have also answered some common questions about long division, and provided some tips and tricks for performing the operation correctly.