How to Solve Long Division by Single-Digit Numbers in Grade 6
FAQs on Division Practice Worksheet: Class 6 Maths – 1-Digit Divisors, No Remainder
1. How do you do long division with a 1-digit divisor for Class 6?
Long division with a single-digit divisor involves a systematic, step-by-step process to find the quotient. For Grade 6 maths, this method helps in dividing large numbers like those up to 10,000 accurately.
The main steps are:
- Divide: Divide the first digit (or first few digits) of the dividend by the divisor.
- Multiply: Multiply the quotient digit you just found by the divisor.
- Subtract: Subtract this product from the part of the dividend you used.
- Bring Down: Bring down the next digit from the dividend to form a new number and repeat the process.
2. What is division with no remainder?
Division with no remainder, also known as exact division, is when one number divides another number completely, leaving zero at the end of the calculation. This means the dividend is a perfect multiple of the divisor.
For example, in the problem 8424 ÷ 4 = 2106, the number 8424 is divided exactly by 4, so there is no remainder. This worksheet focuses exclusively on these types of division sums.
3. How do you check division answers?
You can easily check your division answers using the inverse operation, which is multiplication. To verify your work, you multiply the quotient (the answer) by the divisor.
- Formula: Quotient × Divisor = Dividend
- Example: If you solved 3609 ÷ 3 = 1203, you can check it by calculating 1203 × 3.
- Verification: Since 1203 × 3 equals 3609, the original answer is correct. This is a crucial step for building calculation accuracy.
4. What types of problems are in this Grade 6 maths division worksheet?
This practice worksheet contains a series of division problems for class 6 focused on dividing large numbers by a single digit without remainders. The exercises are designed to build fluency and confidence.
You will find:
- Division of numbers up to 10,000 by a 1-digit divisor.
- Problems presented in a column-based format for easy long division.
- Questions that result in a whole number quotient (no remainder).
- Tasks suitable for homework, revision, and speed improvement drills.
5. Is this division worksheet printable and does it have an answer key?
Yes, this Class 6 Maths division worksheet is a free printable resource available in a downloadable PDF format. It also includes a complete answer key to help students and parents check the solutions easily.
The format is designed for:
- Easy printing for classroom or homework use.
- Independent checking of answers to reinforce learning.
- Use as a reliable workbook supplement for extra practice.
6. What skills are built by solving these division problems for Class 6?
Solving the problems in this worksheet helps a Class 6 student develop several essential mathematical skills beyond just division. Consistent practice improves both speed and accuracy in calculations.
Key skills include:
- Division Fluency: Mastering the long division steps for multi-digit numbers.
- Calculation Accuracy: Reducing errors in multiplication, subtraction, and division.
- Mental Math: Enhancing the ability to estimate answers and perform simpler calculations mentally.
- Problem-Solving: Strengthening logical thinking and applying a stepwise calculation process.
7. What is the column method for division?
The column method for division is another name for the standard long division algorithm, where numbers are arranged vertically in columns to keep the calculation organised. This worksheet uses this format to help students systematically solve division problems.
The process involves setting up the dividend inside the division bracket and the divisor outside, then working through the steps of dividing, multiplying, subtracting, and bringing down digits in a neat, columnar structure. This is the standard method taught in the school curriculum for Grade 6.
8. What age group is this long division worksheet best for?
This long division no remainder worksheet is specifically designed for students in Class 6 or Grade 6, which typically includes children aged 10–12 years. It is perfectly aligned with the maths curriculum for this level and is also useful for older students who need revision on fundamental division skills.
9. Why is practicing division without remainders important?
Practicing division without remainders is a fundamental step that builds a strong foundation before moving on to more complex division with remainders, decimals, or fractions. It allows students to master the core mechanics of the long division process.
Benefits include:
- Focusing on the long division steps without the extra complexity of handling remainders.
- Building confidence by achieving exact, whole-number answers.
- Reinforcing the relationship between multiplication and division.
10. Are these division exercises suitable for test preparation?
Absolutely, this division practice worksheet is an excellent tool for test and exam preparation for Class 6 Maths. The focused practice on a specific skill, such as 4-digit by 1-digit division, helps students improve their speed and accuracy under timed conditions.
Using it for revision allows students to:
- Identify and correct common mistakes.
- Strengthen their understanding of the division column method.
- Gain confidence in solving division sums efficiently.
