Long division meaning

Long division is a method of dividing long numbers by using repeated subtraction and place value to find the quotient.


Long division definitions

Word backwards gnol noisivid
Part of speech Noun
Syllabic division long / di-vi-sion
Plural The plural of long division is long divisions.
Total letters 12
Vogais (2) o,i
Consonants (6) l,n,g,d,v,s

Long division is a method used in mathematics to divide numbers that are too large to be easily divided in your head or with simple mental math. It involves breaking down the division process into smaller, more manageable steps.

Process of Long Division

In long division, the number being divided is called the dividend, the number by which we are dividing is called the divisor, the answer is the quotient, and any leftover amount is the remainder. The process involves repeatedly subtracting multiples of the divisor from the partial dividend until we reach zero or a remainder that is less than the divisor.

Steps to Follow

1. Write down the dividend and the divisor in a division bracket.

2. Determine how many times the divisor can go into the first digit or digits of the dividend without exceeding it and write this above the bracket as the first digit of the quotient.

3. Multiply the divisor by this digit and write the result below the dividend.

4. Subtract this result from the digits used and bring down the next digit of the dividend to form a new number.

5. Repeat the process, bringing down digits until there are no more digits left in the dividend.

6. Check if there is a remainder. If there is, write it as a fraction over the divisor as the final answer.

Importance of Long Division

Long division is an essential skill for students to learn as it lays the foundation for more advanced mathematical concepts. It helps students develop critical thinking and problem-solving skills by breaking down complex problems into simpler steps.

Practice and Patience

Like any other skill, long division requires practice and patience to master. With consistent practice, students can improve their speed and accuracy in performing long division, making it easier to tackle more challenging mathematical problems in the future.

Overall, long division is a valuable mathematical tool that helps students develop their mathematical abilities and problem-solving skills. By understanding the process and practicing regularly, students can become more confident in their mathematical abilities and excel in their studies.


Long division Examples

  1. She struggled with long division while studying for her math test.
  2. The teacher explained the steps of long division to the students.
  3. I used long division to divide the total budget among the team members.
  4. He relied on long division to accurately calculate the measurements for the project.
  5. Long division is a fundamental math concept taught in elementary schools.
  6. She found long division challenging but continued to practice until she mastered it.
  7. The accountant used long division to distribute expenses evenly across all departments.
  8. Long division is a useful mathematical skill that can be applied in various real-life situations.
  9. I prefer using long division over other methods when dealing with complex calculations.
  10. Understanding long division is essential for success in advanced math courses.


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  • Updated 04/05/2024 - 23:12:24