Practice Questions: 2-Digit by 1-Digit Long Division With Remainders
FAQs on Long Division With Remainder Worksheets for Class 4 (Within 1–100)
1. How do you write remainders in long division for class 4?
In long division for Class 4, the remainder is the number left over after the division is complete and is written next to the quotient. After you finish the final subtraction step, the number you are left with is the remainder.
For example, in the problem 53 ÷ 4:
- The quotient (the main answer) is 13.
- The number left over is 1.
- The final answer is written as 13 R 1, where 'R' stands for remainder.
2. What is a simple way to explain a remainder in division?
A simple way to explain a remainder is to think of it as the “leftovers” after sharing something equally. It’s the amount that is not enough to make another full group.
For instance, if you have 25 sweets to share equally among 4 friends:
- Each friend will get 6 sweets (4 × 6 = 24).
- There will be 1 sweet left over that cannot be shared equally.
- This leftover sweet is the remainder.
3. What is the long division method for class 4?
The long division method for Class 4 involves a sequence of simple steps that are repeated until the problem is solved. The four main steps are often remembered by the acronym DMSB (Divide, Multiply, Subtract, Bring down).
The steps are:
- Divide: Divide the first digit (or first two digits) of the dividend by the divisor.
- Multiply: Multiply the quotient you just got by the divisor.
- Subtract: Subtract this result from the part of the dividend you were working with.
- Bring down: Bring down the next digit of the dividend to form a new number and repeat the process.
Any number left at the end is the remainder.
4. How do you solve a 2-digit by 1-digit division problem with a remainder?
To solve a 2-digit by 1-digit division problem, you follow the standard long division steps. The final number left after the last subtraction is your remainder.
Let’s solve 87 ÷ 6:
- Divide: Divide the first digit, 8, by 6. It goes in 1 time. Write '1' as the first digit of the quotient.
- Multiply & Subtract: Multiply 1 × 6 = 6. Subtract 8 – 6 = 2.
- Bring down: Bring down the next digit, 7, to make the new number 27.
- Divide again: Divide 27 by 6. It goes in 4 times (since 6 × 4 = 24). Write '4' as the second digit of the quotient.
- Multiply & Subtract again: Multiply 4 × 6 = 24. Subtract 27 – 24 = 3.
There are no more digits to bring down, so 3 is the remainder. The answer is 14 R 3.
5. What types of problems are in this long division with remainder worksheet?
This Class 4 Maths worksheet focuses on building confidence in division with remainders. The activities are designed for comprehensive practice and include:
- Step-by-step division sums: Standard 2-digit by 1-digit division problems where students must find the quotient and remainder.
- Fill-in-the-blank calculations: Problems with missing parts of the division sum to test understanding.
- Division word problems: Simple real-world scenarios that require students to apply their division skills with remainders to find the solution.
6. How can I check my answers for division problems?
You can easily check your answer to any division problem by using multiplication and addition. This method ensures your quotient and remainder are correct.
Use this formula:
(Quotient × Divisor) + Remainder = Dividend
For example, if you solved 74 ÷ 9 and got 8 R 2:
- Multiply the quotient (8) by the divisor (9): 8 × 9 = 72.
- Add the remainder (2) to this result: 72 + 2 = 74.
- Since 74 matches the original dividend, your answer is correct.
7. Are these Class 4 Maths long division worksheets printable?
Yes, these long division worksheets for Class 4 are designed to be easily printable. They are available as a free PDF download, formatted for standard A4 paper, making them perfect for practice at home, for homework help, or for use in the classroom.
8. Does this long division worksheet include an answer key?
Yes, a complete long division with remainders answer key is provided with this worksheet. The solutions are included to help parents and students quickly check the answers, understand the correct steps, and identify any areas that may need more practice.
9. What skills does this division practice for Grade 4 improve?
This division practice for Grade 4 helps strengthen several important maths skills beyond basic calculation. Regular practice with these worksheets improves:
- Numeracy Skills: Enhances speed and accuracy in division and multiplication.
- Logical Reasoning: Builds understanding of the step-by-step process of long division.
- Problem-Solving: Teaches students how to handle “leftovers” or remainders in division in practical contexts.
- Conceptual Understanding: Reinforces the relationship between division, multiplication, and subtraction.
10. What is an example of a long division sum with a remainder for Class 4?
A typical example of a long division sum with a remainder suitable for a Class 4 student would be dividing a two-digit number by a single-digit number where the division is not perfect.
For example, consider the problem 65 ÷ 7:
- 7 goes into 65 a total of 9 times (because 7 × 9 = 63).
- When you subtract 63 from 65, you are left with 2.
- Therefore, the answer is 9 with a remainder of 2, written as 9 R 2.
