Rewrite The Division Expression Using Long Division Format:${ 195 \div 4 }$

Introduction

In mathematics, long division is a method of dividing one number by another, resulting in a quotient and a remainder. It is a step-by-step process that involves dividing the dividend (the number being divided) by the divisor (the number by which we are dividing), and finding the quotient and remainder. In this article, we will rewrite the division expression $195 \div 4$ using long division format.

Understanding Long Division

Long division is a method of dividing one number by another, resulting in a quotient and a remainder. It is a step-by-step process that involves dividing the dividend (the number being divided) by the divisor (the number by which we are dividing), and finding the quotient and remainder. The long division process involves the following steps:

1. Write the dividend and divisor: Write the dividend (the number being divided) on top of a line, and the divisor (the number by which we are dividing) below it.
2. Divide the first digit: Divide the first digit of the dividend by the divisor, and write the result below the line.
3. Multiply and subtract: Multiply the result from step 2 by the divisor, and subtract the product from the dividend.
4. Bring down the next digit: Bring down the next digit of the dividend, and repeat the process.
5. Continue the process: Continue the process until all digits of the dividend have been used.

Rewriting the Division Expression Using Long Division Format

Now, let's rewrite the division expression $195 \div 4$ using long division format.

Step 1: Write the Dividend and Divisor

Write the dividend (195) on top of a line, and the divisor (4) below it.

  ____________________
4 | 1 9 5

Step 2: Divide the First Digit

Divide the first digit of the dividend (1) by the divisor (4), and write the result below the line.

  ____________________
4 | 1 9 5
  -4

Step 3: Multiply and Subtract

Multiply the result from step 2 (4) by the divisor (4), and subtract the product from the dividend.

  ____________________
4 | 1 9 5
  -4
  -16

Step 4: Bring Down the Next Digit

Bring down the next digit of the dividend (9), and repeat the process.

  ____________________
4 | 1 9 5
  -4
  -16
  -36

Step 5: Continue the Process

Continue the process until all digits of the dividend have been used.

  ____________________
4 | 1 9 5
  -4
  -16
  -36
  -80

Step 6: Find the Quotient and Remainder

The final result is the quotient (48) and the remainder (3).

  ____________________
4 | 1 9 5
  -4
  -16
  -36
  -80
  -195
  48 R 3

Conclusion

Introduction

Long division is a method of dividing one number by another, resulting in a quotient and a remainder. It is a step-by-step process that involves dividing the dividend (the number being divided) by the divisor (the number by which we are dividing), and finding the quotient and remainder. In this article, we will answer some frequently asked questions (FAQs) about long division.

Q: What is long division?

A: Long division is a method of dividing one number by another, resulting in a quotient and a remainder. It is a step-by-step process that involves dividing the dividend (the number being divided) by the divisor (the number by which we are dividing), and finding the quotient and remainder.

Q: What are the steps of long division?

A: The steps of long division are:

1. Write the dividend and divisor: Write the dividend (the number being divided) on top of a line, and the divisor (the number by which we are dividing) below it.
2. Divide the first digit: Divide the first digit of the dividend by the divisor, and write the result below the line.
3. Multiply and subtract: Multiply the result from step 2 by the divisor, and subtract the product from the dividend.
4. Bring down the next digit: Bring down the next digit of the dividend, and repeat the process.
5. Continue the process: Continue the process until all digits of the dividend have been used.

Q: How do I know when to stop dividing?

A: You know when to stop dividing when all digits of the dividend have been used, and there is no remainder.

Q: What is the quotient and remainder?

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

Q: Can I use long division with decimals?

A: Yes, you can use long division with decimals. However, you will need to use a decimal point to separate the whole number part from the decimal part.

Q: Can I use long division with fractions?

A: Yes, you can use long division with fractions. However, you will need to use a fraction bar to separate the numerator from the denominator.

Q: What are some common mistakes to avoid when using long division?

A: Some common mistakes to avoid when using long division include:

• Not writing the dividend and divisor correctly
• Not dividing the first digit correctly
• Not multiplying and subtracting correctly
• Not bringing down the next digit correctly
• Not continuing the process until all digits of the dividend have been used

Q: How can I practice long division?

A: You can practice long division by using online resources, such as worksheets and calculators, or by working with a teacher or tutor.

Conclusion

In this article, we answered some frequently asked questions (FAQs) about long division. We covered topics such as the steps of long division, how to know when to stop dividing, the quotient and remainder, and common mistakes to avoid. We also provided some tips for practicing long division.