How to Solve Long Division with Remainders (Step-by-Step Example)
FAQs on Long Division with Remainders Practice Worksheet for Class 3
1. How do you solve long division problems with remainders?
To solve long division problems with a remainder, you follow the standard division steps and the leftover number is the remainder. This Class 3 division worksheet provides practice for these steps:
- Divide: See how many times the divisor goes into the first digit(s) of the dividend.
- Multiply: Multiply the quotient digit by the divisor.
- Subtract: Subtract the product from the part of the dividend you used.
- Bring Down: Bring down the next digit of the dividend.
- Remainder: The number left over after you can no longer divide is the remainder.
2. What is a remainder in division for Grade 3?
A remainder is the 'leftover' amount after dividing a number into equal groups. For a Grade 3 student, think of it like this: if you have 14 cookies to share equally among 4 friends, each friend gets 3 cookies (4 x 3 = 12), and you will have 2 cookies leftover. That '2' is the remainder.
3. How do you check your answer in a long division sum with a remainder?
You can easily check your answer for any division problem by using a simple formula. This method helps verify the quotient and remainder you found are correct.
The formula is: (Quotient × Divisor) + Remainder = Dividend. For example, if 37 ÷ 5 = 7 R 2, you check it by calculating (7 × 5) + 2 = 35 + 2 = 37. Since 37 is the original dividend, the answer is correct.
4. What types of questions are in this division with remainders worksheet for Class 3?
This worksheet is designed for Class 3 maths students and focuses on long division sums with remainders. It primarily includes:
- Division problems with dividends within 1–100.
- Division of a 2-digit number by a 1-digit number.
- All problems resulting in a non-zero remainder to specifically practice the remainder concept.
- Clear computation blocks for step-by-step practice.
5. Is this long division worksheet printable and does it come with an answer key?
Yes, this is a free, printable division worksheet in PDF format, making it easy to use at home or in the classroom. It includes a complete long division with remainders within 1-100 answer key, which allows parents and teachers to quickly check the answers and provide feedback.
6. Why do some division problems have a remainder?
Some division problems have a remainder because the dividend cannot be perfectly or equally divided by the divisor. When a number doesn't fit into another number a whole number of times, the leftover part is called the remainder. This is a key concept in division for Class 3.
7. What is the best way to teach division with remainders to kids?
The best way to teach division with remainders to kids is by using a mix of visual aids, real-life examples, and consistent practice. Start with physical objects (like blocks or beads) to show grouping, then move on to visual worksheets. Using a division with remainders worksheet grade 3 helps reinforce the steps of the division algorithm through repetition.
8. Can you give an example of a long division sum with a remainder?
A common example of a long division sum with a remainder suitable for 3rd grade is dividing a two-digit number by a one-digit number. For instance:
- Problem: 25 ÷ 4
- Solution: 4 goes into 25 six times (4 × 6 = 24).
- Subtract: 25 - 24 = 1.
- Answer: The quotient is 6 with a remainder of 1.
9. How does this worksheet help with maths homework and test preparation?
This worksheet provides targeted division practice for kids, which is essential for building foundational math skills. By completing these long division sums with remainders, students can:
- Reinforce the step-by-step process of long division.
- Improve their speed and accuracy in computation.
- Build confidence for school tests and homework assignments.
- Master the remainder in division Grade 3 concept as per the CBSE curriculum.
10. What mathematical skills are improved by practicing division with remainders?
Practicing division with remainders helps develop several important mathematical skills beyond basic calculation. It strengthens a student's understanding of:
- The relationship between multiplication and division.
- The core division algorithm (divide, multiply, subtract, bring down).
- Number sense and how numbers relate to each other.
- Problem-solving skills needed for more complex math, including division word problems.
