Long division is a fundamental mathematical operation that students often do in their early school years. Understanding long division is crucial because it lays the foundation for more advanced mathematical concepts such as fractions, algebra and polynomial division.
The Aim of this article is to provide a comprehensive guide on long division including the important formulas practice questions with the solutions, worksheets and FAQs to help students master this essential skill.
Long Division
Long division is a method used to divide large numbers by breaking them down into simpler steps. It involves dividing the dividend by the divisor, subtracting and then bringing down the next digit to continue until the entire dividend has been divided. This method is beneficial for dividing multi-digit numbers and understanding the relationship between division, multiplication and subtraction.
Division Formula
Dividend = (Divisor × Quotient) + Remainder
Long Division Method
The long division method is a systematic approach used to divide large numbers by breaking them down into a series of easier steps.
It involves dividing, multiplying, subtracting and bringing down the next digit repeatedly until we arrive at the quotient and remainder.
This method is essential in arithmetic for dividing multi-digit numbers and is widely used in both manual calculations and elementary education.
Practice Questions with Solution: Long Division
Example 1: Divide 452 by 4
Solution:
Quotient: 113
Remainder: 0
Example 2: Divide 1234 by 5
Solution:
Quotient: 246
Remainder: 4
Example 3: Divide 7896 by 6
Solution :
Quotient: 1316
Remainder: 0
Example 4: Divide 9875 by 7
Solution :
Quotient: 1410
Remainder: 5
Example 5: Divide 6789 by 8
Solution:
Quotient: 848
Remainder: 5
Example 6: Divide 3421 by 9
Solution:
Quotient: 380
Remainder: 1
Example 7: Divide 2345 by 5
Solution:
Quotient: 469
Remainder: 0
Example 8: Divide 8762 by 3
Solution:
Quotient: 2920
Remainder: 2
Example 9: Divide 543 by 4
Solution:
Quotient: 135
Remainder: 3
Example 10: Divide 7628 by 6
Solution :
Quotient: 1271
Remainder: 2
Worksheet on Long Division
You can download this worksheet with answer key from following:
In conclusion, long division worksheets are a helpful way for students to practice and master division. By working through problems step by step, they build confidence and improve their skills.
