How to Divide 4-Digit Numbers by Hundreds with Remainders?
FAQs on Division of Whole Hundreds with Remainder – Grade 5 Maths Practice
1. How do you divide by whole hundreds with a remainder?
Dividing by whole hundreds is made simpler by focusing on the basic division fact and then accounting for the remainder. For example, to solve 1325 ÷ 200, you can think of it as 13 ÷ 2, which is 6. Then, you multiply back (6 x 200 = 1200) and find the leftover amount.
Here is a simple method:
- Estimate: Look at the first few digits of the dividend and the first digit of the divisor (e.g., for 4580 ÷ 200, think 45 ÷ 20 or 4 ÷ 2).
- Multiply: Multiply your estimate by the divisor.
- Subtract: Subtract this product from the dividend to find the amount left over.
- Final Answer: The estimate is your quotient, and the amount left over is the remainder.
2. What is a remainder in division?
A remainder is the whole number that is 'left over' after one number has been divided by another as many times as possible without creating a fraction. In Class 5 maths division, if a number (the dividend) cannot be perfectly divided by another number (the divisor), the leftover part is called the remainder.
For example, in 7300 ÷ 300, 300 goes into 7300 a total of 24 times (24 x 300 = 7200). The amount left over is 7300 - 7200 = 100. So, the remainder is 100.
3. How do you check the answer to a division problem with a remainder?
You can easily check your division answer by using a specific formula that involves multiplication and addition. This method ensures your quotient and remainder are correct.
Follow this rule:
(Quotient × Divisor) + Remainder = Dividend
For example, if 1450 ÷ 300 = 4 remainder 250, the check would be:
(4 × 300) + 250 = 1200 + 250 = 1450. Since this matches the original dividend, the answer is correct.
4. What are some examples of dividing by whole hundreds with remainders?
Here are some typical examples of division by whole hundreds with remainder questions that you might find in a Grade 5 division practice worksheet:
- 1780 ÷ 200 = 8 remainder 180
- 2300 ÷ 400 = 5 remainder 300
- 7400 ÷ 600 = 12 remainder 200
- 5050 ÷ 500 = 10 remainder 50
- 4580 ÷ 700 = 6 remainder 380
5. Is this Class 5 division worksheet printable and free to download?
Yes, this Class 5 maths division whole hundreds with remainder worksheet is designed to be completely free and easily accessible. You can download the worksheet as a printable PDF file, making it perfect for homework, revision, or extra practice at home or in the classroom.
6. Does this division worksheet for Grade 5 include an answer key?
Yes, an answer key is included with this division worksheet for Grade 5. The answer sheet provides the correct quotient and remainder for every question, allowing parents and teachers to quickly check the student's work and provide immediate feedback.
7. Why are word problems included in these division worksheets?
Word problems, or story problems, are included to help students connect the mathematical concept of division to real-life situations. This approach helps to build critical thinking and problem-solving skills beyond basic calculation.
Solving division word problems helps students to:
- Understand how division is used in daily scenarios.
- Interpret questions to identify the dividend and divisor.
- Apply their knowledge of finding a quotient and remainder in a practical context.
8. What is the best tip for solving long division with remainders for Class 5?
The best tip for solving long division with remainder for Class 5 is to use estimation by simplifying the numbers. When dividing a 4-digit number by a 3-digit number like 4580 ÷ 200, you can temporarily ignore the zeros and think about the core division fact, which is 45 ÷ 20. This makes it easier to guess the correct digit for the quotient before performing the full calculation.
9. What skills does this division by 100s worksheet help to build?
This division by whole hundreds worksheet helps Grade 5 students build several fundamental mathematical skills. By completing the exercises, students will improve their ability to:
- Perform long division with remainders accurately.
- Strengthen mental maths by estimating quotients.
- Understand the relationship between the dividend, divisor, quotient, and remainder.
- Apply division skills to solve practical word problems.
- Develop a systematic approach to checking their answers.
10. Can this division worksheet be used digitally on a tablet?
Yes, absolutely. The worksheet is provided as a mobile-optimized PDF file, which can be easily downloaded and opened on a tablet or computer. Students can write on the worksheet digitally using any standard PDF annotation app, making it a flexible tool for both printed and screen-based learning.
