Topic Details (Notes format)

How to Perform Long Division

Subject: Mathematics

Book: Maths Mastery

Long division systematically divides multi-digit dividends by single or multi-digit divisors, generating a quotient and remainder. For instance, dividing 728 by 8: 8 goes into 72 nine times (72), leaving 0, then 8 into 8 is once, so the quotient is 91. Remainders can be expressed as fractions or decimals if needed. Long division helps in real-world tasks like splitting bills, distributing resources, or converting fractions to decimals. Even in an era of calculators, proficiency ensures clarity, fosters number sense, and handles situations without digital tools.

Practice Questions

The sum of the squares of two consecutive integers is 145. What are the integers?

View Question

If a square has a perimeter of 64 cm, what is its area?

View Question

What is the HCF of 48 and 180?

View Question

What is the sum of the first 10 positive even numbers?

View Question

If a+b = 10 and ab = 21, what is the value of a^3 + b^3?

View Question

If log(100) = 2 and log(10) = 1, what is log(1000)?

View Question

If a = 2 and b = 3, what is the value of (a^2 + b^2)?

View Question

If the ratio of two numbers is 3:5 and their HCF is 4, what are the numbers?

View Question

What is the sum of all even numbers between 1 and 100?

View Question

What is the greatest common divisor (GCD) of 36 and 48?

View Question