Step-by-Step Practice for 3-Digit by 1-Digit Long Division Without Remainders
FAQs on Class 4 Maths: Long Division 3-Digit by 1-Digit (No Remainder)
1. How do you divide 3-digit numbers by 1-digit numbers?
To divide a 3-digit number by a 1-digit number, you use the long division method step-by-step, starting from the leftmost digit (hundreds place). The process involves a cycle of dividing, multiplying, subtracting, and bringing down the next digit until the division is complete.
- Divide: See how many times the divisor goes into the first digit(s) of the dividend.
- Multiply: Multiply this new quotient digit by the divisor.
- Subtract: Subtract the result from the digit(s) you divided.
- Bring Down: Bring down the next digit from the dividend.
- Repeat these steps until no digits are left to bring down.
2. What is long division with no remainder?
Long division with no remainder means that the divisor divides the dividend perfectly, leaving zero as the final result after the last subtraction. This shows that the dividend is an exact multiple of the divisor. For example, in a 3-digit by 1-digit division problem like 484 ÷ 4, the answer is 121 with a remainder of 0.
3. How do you explain long division to a child?
To explain long division to a child, use a simple, memorable acronym like DMSB (Divide, Multiply, Subtract, Bring Down) and relate it to sharing items equally. Using a long division practice PDF with clear examples helps them visualise the process.
- D - Divide (Share the items)
- M - Multiply (See how many were shared)
- S - Subtract (Find out what's left)
- B - Bring Down (Bring in the next group of items to share)
4. How do you check division answers?
You can easily check your division answer by using the inverse operation, which is multiplication. To check a problem with no remainder, multiply the quotient (the answer) by the divisor (the number you divided by). The result should be equal to the original dividend.
- Formula: Quotient × Divisor = Dividend
- Example: To check if 155 ÷ 5 = 31 is correct, you calculate 31 × 5, which equals 155.
5. How can I use this worksheet at home?
This worksheet is an ideal resource for practising division for Class 4 students at home. You can simply download the free printable PDF, print it out, and let your child solve the problems. It's a great tool for homework help or holiday revision.
6. Does this include an answer key?
Yes, this Class 4 long division worksheet comes with a complete answer key. The key provides correct answers for all division sums, allowing parents and students to quickly check their work and understand the solutions.
7. Is this worksheet printable?
Absolutely. This worksheet is designed as a print-friendly, downloadable division worksheet in PDF format. The clear layout and large font make it easy to print and use for offline practice, ensuring a simple experience for both parents and students.
8. What age group is it best for?
This maths worksheet for Grade 4 is designed for students in Class 4, who are typically 8-10 years old. The content is carefully aligned with the CBSE maths practice sheets and NCERT syllabus, focusing on the core skill of 3-digit by 1-digit division.
9. How does this worksheet reinforce concept retention?
This worksheet reinforces concept retention by providing focused, repeated practice on a single skill: 3-digit by 1-digit division. This repetition helps students internalise the step-by-step process, build calculation confidence, and achieve mastery over the division process without remainders.
10. What skills are built by this activity?
This long division activity helps build several fundamental skills that are crucial for a student's mathematical development. Key skills include:
- Calculation Accuracy: Improving the ability to perform division, multiplication, and subtraction correctly.
- Problem-Solving: Learning to follow a structured, multi-step process to find a solution.
- Logical Reasoning: Understanding the relationship between numbers and the concept of equal distribution.
- Place Value: Reinforcing the understanding of hundreds, tens, and ones in division.
