Use The Long Division Method To Determine The Following:1. $1560 \div 15$2. 502 ÷ 6 502 \div 6 502 ÷ 6

Introduction

Long division is a mathematical technique used to divide one number by another and find the quotient and remainder. It is a crucial concept in mathematics, particularly in arithmetic and algebra. In this article, we will explore the long division method and use it to determine the results of two division problems: $1560 \div 15$ and $502 \div 6$.

What is Long Division?

Long division is a step-by-step process that involves dividing a dividend (the number being divided) by a divisor (the number by which we are dividing). The process involves several steps, including:

1. Dividing: We divide the dividend by the divisor to find the quotient.
2. Multiplying: We multiply the divisor by the quotient to find the product.
3. Subtracting: We subtract the product from the dividend to find the remainder.
4. Bringing down: We bring down the next digit of the dividend and repeat the process until we have used all the digits.

Step-by-Step Guide to Long Division

To perform long division, follow these steps:

Step 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.

Step 2: Divide the first digit of the dividend

Divide the first digit of the dividend by the divisor to find the first digit of the quotient.

Step 3: Multiply the divisor by the quotient

Multiply the divisor by the first digit of the quotient to find the product.

Step 4: Subtract the product from the dividend

Subtract the product from the dividend to find the remainder.

Step 5: Bring down the next digit of the dividend

Bring down the next digit of the dividend and repeat the process until we have used all the digits.

Step 6: Repeat the process

Repeat the process until we have used all the digits of the dividend.

Example 1: $1560 \div 15$

To find the result of $1560 \div 15$, we will use the long division method.

Step 1: Write the dividend and divisor

Write the dividend (1560) on top of a line, and the divisor (15) below it.

Step 2: Divide the first digit of the dividend

Divide the first digit of the dividend (1) by the divisor (15) to find the first digit of the quotient (0).

Step 3: Multiply the divisor by the quotient

Multiply the divisor (15) by the first digit of the quotient (0) to find the product (0).

Step 4: Subtract the product from the dividend

Subtract the product (0) from the dividend (1560) to find the remainder (1560).

Step 5: Bring down the next digit of the dividend

Bring down the next digit of the dividend (5) and repeat the process.

Step 6: Repeat the process

Repeat the process until we have used all the digits of the dividend.

Step-by-Step Solution

15
	104
15
	40
15
	20
15
	0

The result of $1560 \div 15$ is 104.

Example 2: $502 \div 6$

To find the result of $502 \div 6$, we will use the long division method.

Step 1: Write the dividend and divisor

Write the dividend (502) on top of a line, and the divisor (6) below it.

Step 2: Divide the first digit of the dividend

Divide the first digit of the dividend (5) by the divisor (6) to find the first digit of the quotient (0).

Step 3: Multiply the divisor by the quotient

Multiply the divisor (6) by the first digit of the quotient (0) to find the product (0).

Step 4: Subtract the product from the dividend

Subtract the product (0) from the dividend (502) to find the remainder (502).

Step 5: Bring down the next digit of the dividend

Bring down the next digit of the dividend (0) and repeat the process.

Step 6: Repeat the process

Repeat the process until we have used all the digits of the dividend.

Step-by-Step Solution

6
	84
6
	2

The result of $502 \div 6$ is 84 with a remainder of 2.

Conclusion

$$$$

Introduction

Long division is a mathematical technique used to divide one number by another and find the quotient and remainder. In our previous article, we explored the long division method and used it to determine the results of two division problems: $1560 \div 15$ and $502 \div 6$. In this article, we will answer some frequently asked questions about the long division method.

Q&A

Q: What is the long division method?

A: The long division method is a step-by-step process that involves dividing a dividend (the number being divided) by a divisor (the number by which we are dividing) to find the quotient and remainder.

Q: How do I perform long division?

A: To perform long division, follow these steps:

1. Write the dividend and divisor.
2. Divide the first digit of the dividend by the divisor to find the first digit of the quotient.
3. Multiply the divisor by the first digit of the quotient to find the product.
4. Subtract the product from the dividend to find the remainder.
5. Bring down the next digit of the dividend and repeat the process until we have used all the digits.

Q: What is the difference between long division and short division?

A: Long division is a more detailed and step-by-step process that involves dividing a dividend by a divisor to find the quotient and remainder. Short division, on the other hand, is a quicker and more simplified process that involves dividing a dividend by a divisor to find the quotient.

Q: When should I use long division?

A: You should use long division when you need to find the quotient and remainder of a division problem. Long division is particularly useful when the dividend is a large number and the divisor is a small number.

Q: Can I use long division to divide fractions?

A: No, you cannot use long division to divide fractions. Long division is used to divide whole numbers, not fractions.

Q: How do I check my work when using long division?

A: To check your work when using long division, follow these steps:

1. Multiply the divisor by the quotient to find the product.
2. Add the product to the remainder to find the dividend.
3. If the result is equal to the dividend, then your work is correct.

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

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

1. Not bringing down the next digit of the dividend.
2. Not subtracting the product from the dividend.
3. Not multiplying the divisor by the quotient.

Q: Can I use long division to divide decimals?

A: No, you cannot use long division to divide decimals. Long division is used to divide whole numbers, not decimals.

Q: How do I round my answer when using long division?

A: To round your answer when using long division, follow these steps:

1. Determine the place value of the digit you are rounding.
2. If the digit is less than 5, round down.
3. If the digit is 5 or greater, round up.

Conclusion

In this article, we have answered some frequently asked questions about the long division method. Long division is a mathematical technique used to divide one number by another and find the quotient and remainder. By following the steps outlined in this article, you can use the long division method to solve division problems and find the results of various division operations.