Long Division By A Single Digit (No Remainder)Grade 4 Division WorksheetFind The Quotient.1. $3 \div 8,727$2. $6 \div 6,360$3. $3 \div 4,914$4. $7 \div 1,148$5. $7 \div 8,085$6. $4 \div 6,980$7.

Introduction

Long division is a mathematical operation that involves dividing a number by another number to find the quotient and remainder. In this article, we will focus on long division by a single digit with no remainder, which is an essential skill for grade 4 students. We will provide a step-by-step guide on how to perform long division and solve the given problems.

What is Long Division?

Long division is a method of dividing a number by another number to find the quotient and remainder. It involves dividing the dividend (the number being divided) by the divisor (the number by which we are dividing) to find the quotient and remainder. The quotient is the result of the division, and the remainder is the amount left over after the division.

How to Perform Long Division

To perform long division, we need to follow these 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 to find the first digit of the quotient.
3. Multiply and subtract: Multiply the divisor by the first digit of the quotient and subtract the result 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 we have divided all the digits of the dividend.

Step-by-Step Guide to Long Division

Let's use an example to illustrate the long division process. Suppose we want to divide 432 by 6.

1. Write the dividend and divisor: Write 432 on top of a line and 6 below it.

   ____________________
   6 | 4 3 2
   

2. Divide the first digit: Divide 4 by 6 to find the first digit of the quotient, which is 0.

   ____________________
   6 | 4 3 2
   0
   

3. Multiply and subtract: Multiply 6 by 0 to get 0 and subtract 0 from 4 to get 4.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   

4. Bring down the next digit: Bring down the next digit, which is 3.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   3
   

5. Divide the next digit: Divide 43 by 6 to find the next digit of the quotient, which is 7.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   3
   7
   

6. Multiply and subtract: Multiply 6 by 7 to get 42 and subtract 42 from 43 to get 1.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   3
   7
   -42
   1
   

7. Bring down the next digit: Bring down the next digit, which is 2.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   3
   7
   -42
   1
   2
   

8. Divide the next digit: Divide 12 by 6 to find the next digit of the quotient, which is 2.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   3
   7
   -42
   1
   2
   2
   

9. Multiply and subtract: Multiply 6 by 2 to get 12 and subtract 12 from 12 to get 0.

   ____________________
   6 | 4 3 2
   0
   -0
   4
   3
   7
   -42
   1
   2
   2
   -12
   0
   

Solving the Given Problems

Now that we have learned how to perform long division, let's solve the given problems.

Problem 1: $3 \div 8,727$

To solve this problem, we need to divide 3 by 8,727.

_____________________
8,727 | 3

Divide 3 by 8,727 to find the quotient, which is 0.

_____________________
8,727 | 3
0

Multiply 8,727 by 0 to get 0 and subtract 0 from 3 to get 3.

_____________________
8,727 | 3
0
-0
3

Bring down the next digit, which is 0.

_____________________
8,727 | 3
0
-0
3
0

Divide 30 by 8,727 to find the next digit of the quotient, which is 0.

_____________________
8,727 | 3
0
-0
3
0
0

Multiply 8,727 by 0 to get 0 and subtract 0 from 30 to get 30.

_____________________
8,727 | 3
0
-0
3
0
0
-0
30

Bring down the next digit, which is 0.

_____________________
8,727 | 3
0
-0
3
0
0
-0
30
0

Divide 300 by 8,727 to find the next digit of the quotient, which is 0.

_____________________
8,727 | 3
0
-0
3
0
0
-0
30
0
0

Multiply 8,727 by 0 to get 0 and subtract 0 from 300 to get 300.

_____________________
8,727 | 3
0
-0
3
0
0
-0
30
0
0
-0
300

The quotient is 0.

Problem 2: $6 \div 6,360$

To solve this problem, we need to divide 6 by 6,360.

_____________________
6,360 | 6

Divide 6 by 6,360 to find the quotient, which is 0.

_____________________
6,360 | 6
0

Multiply 6,360 by 0 to get 0 and subtract 0 from 6 to get 6.

_____________________
6,360 | 6
0
-0
6

Bring down the next digit, which is 0.

_____________________
6,360 | 6
0
-0
6
0

Divide 60 by 6,360 to find the next digit of the quotient, which is 0.

_____________________
6,360 | 6
0
-0
6
0
0

Multiply 6,360 by 0 to get 0 and subtract 0 from 60 to get 60.

_____________________
6,360 | 6
0
-0
6
0
0
-0
60

Bring down the next digit, which is 0.

_____________________
6,360 | 6
0
-0
6
0
0
-0
60
0

Divide 600 by 6,360 to find the next digit of the quotient, which is 0.

_____________________
6,360 | 6
0
-0
6
0
0
-0
60
0
0

Multiply 6,360 by 0 to get 0 and subtract 0 from 600 to get 600.

_____________________
6,360 | 6
0
-0
6
0
0
-0
60
0
0
-0
600

The quotient is 0.

Problem 3: $3 \div 4,914$

To solve this problem, we need to divide 3 by 4,914.

_____________________
4,914 | 3

Divide 3 by 4,914 to find the quotient, which is 0.

_____________________
4,914 | 3
0

Multiply 4,914 by 0 to get 0 and subtract 0 from 3 to get 3.

_____________________
4,914 | 3
0
-0
3

Bring down the next digit, which is 0.

_____________________
4,914 | 3
0
-0
3
0

Divide 30 by 4,914 to find the next digit of the quotient, which is 0.

_____________________
4,<br/>
**Long Division by a Single Digit (No Remainder) Grade 4 Division Worksheet Q&A**
====================================================================
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 remainder.
Q: How do I perform long division?
A: To perform long division, you need to follow these steps:

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.
Divide the first digit: Divide the first digit of the dividend by the divisor to find the first digit of the quotient.
Multiply and subtract: Multiply the divisor by the first digit of the quotient and subtract the result from the dividend.
Bring down the next digit: Bring down the next digit of the dividend and repeat the process.
Continue the process: Continue the process until we have divided all the digits of the dividend.

Q: What is the quotient and remainder in long division?
A: The quotient is the result of the division, and the remainder is the amount left over after the division.
Q: How do I find the quotient and remainder in long division?
A: To find the quotient and remainder in long division, you need to follow these steps:

Divide the dividend by the divisor: Divide the dividend by the divisor to find the quotient.
Multiply the divisor by the quotient: Multiply the divisor by the quotient to find the product.
Subtract the product from the dividend: Subtract the product from the dividend to find the remainder.

Q: What is the difference between long division and short division?
A: Long division is a method of dividing a number by another number to find the quotient and remainder, while short division is a method of dividing a number by another number to find the quotient only.
Q: When do I use long division and when do I use short division?
A: You use long division when you need to find the quotient and remainder, and you use short division when you only need to find the quotient.
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 only.
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 only.
Q: How do I check my answer in long division?
A: To check your answer in long division, you need to follow these steps:

Multiply the divisor by the quotient: Multiply the divisor by the quotient to find the product.
Add the remainder to the product: Add the remainder to the product to find the dividend.
Check if the dividend is equal to the original dividend: Check if the dividend is equal to the original dividend.

Q: What are some common mistakes to avoid in long division?
A: Some common mistakes to avoid in long division are:

Not lining up the digits correctly: Make sure to line up the digits correctly when performing long division.
Not multiplying and subtracting correctly: Make sure to multiply and subtract correctly when performing long division.
Not bringing down the next digit correctly: Make sure to bring down the next digit correctly when performing long division.
Not checking the answer correctly: Make sure to check the answer correctly when performing long division.

Q: How can I practice long division?
A: You can practice long division by:

Using online resources: Use online resources such as worksheets and practice problems to practice long division.
Using real-world examples: Use real-world examples such as dividing a pizza or a cake to practice long division.
Practicing with friends or family: Practice long division with friends or family members to get help and feedback.
Using long division games and activities: Use long division games and activities to make practicing long division fun and engaging.