Mastering Long Division with Ease: 5 Worksheets to Get You Started
Long division can be a daunting task for many students, but with practice and patience, it can become a breeze. In this article, we will provide you with 5 easy long division worksheets with answers to help you get started on your math journey.
What is Long Division?
Before we dive into the worksheets, let’s quickly review what long division is. Long division is a method of dividing a large number (dividend) by a smaller number (divisor) to find the quotient and remainder. It involves a series of steps, including division, multiplication, and subtraction.
Why Practice Long Division?
Practicing long division is essential for several reasons:
- It helps you develop problem-solving skills and builds your confidence in math.
- It is a fundamental concept in mathematics that is used in various real-life situations, such as calculating the cost of goods, measuring ingredients, and determining the area of a room.
- It lays the foundation for more advanced math concepts, such as algebra and geometry.
Worksheet 1: Simple Long Division
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 48 | 6 | 8 | 0 |
| 120 | 10 | 12 | 0 |
| 90 | 9 | 10 | 0 |
Answers:
- 48 ÷ 6 = 8
- 120 ÷ 10 = 12
- 90 ÷ 9 = 10
📝 Note: Make sure to check your answers by multiplying the quotient by the divisor and adding the remainder.
Worksheet 2: Long Division with Remainders
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 43 | 5 | 8 | 3 |
| 75 | 3 | 25 | 0 |
| 99 | 9 | 11 | 0 |
Answers:
- 43 ÷ 5 = 8 with a remainder of 3
- 75 ÷ 3 = 25 with a remainder of 0
- 99 ÷ 9 = 11 with a remainder of 0
Worksheet 3: Multi-Digit Long Division
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 432 | 12 | 36 | 0 |
| 945 | 15 | 63 | 0 |
| 1080 | 20 | 54 | 0 |
Answers:
- 432 ÷ 12 = 36
- 945 ÷ 15 = 63
- 1080 ÷ 20 = 54
Worksheet 4: Long Division with Decimals
| Dividend | Divisor | Quotient | Remainder |
|---|---|---|---|
| 45.6 | 6 | 7.6 | 2.4 |
| 90.9 | 9 | 10.1 | 0.9 |
| 123.4 | 11 | 11.2 | 1.4 |
Answers:
- 45.6 ÷ 6 = 7.6 with a remainder of 2.4
- 90.9 ÷ 9 = 10.1 with a remainder of 0.9
- 123.4 ÷ 11 = 11.2 with a remainder of 1.4
Worksheet 5: Word Problems
- Tom has 48 pencils that he wants to share equally among 6 of his friends. How many pencils will each friend get?
- A bookshelf has 120 books that need to be packed into boxes of 10. How many boxes can be filled?
- A bakery sells 90 loaves of bread per day. If they want to package 9 loaves per bag, how many bags can they fill?
Answers:
- Each friend will get 8 pencils.
- 12 boxes can be filled.
- 10 bags can be filled.
What is the purpose of long division?
+The purpose of long division is to divide a large number (dividend) by a smaller number (divisor) to find the quotient and remainder.
Why is it important to practice long division?
+Practicing long division helps develop problem-solving skills, builds confidence in math, and lays the foundation for more advanced math concepts.
How can I check my answers in long division?
+You can check your answers by multiplying the quotient by the divisor and adding the remainder.
With these 5 easy long division worksheets with answers, you’ll be well on your way to mastering this essential math skill. Remember to practice regularly and take your time when solving problems. Happy calculating
