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

If a = 5 and b = 12, what is the length of the hypotenuse of a right triangle?

View Question

The ratio of two numbers is 3:5, and their sum is 64. What are the numbers?

View Question

If a number is divisible by 9, it is also divisible by which of the following?

View Question

If the sides of a triangle are 6 cm, 8 cm, and 10 cm, what is the area of the triangle?

View Question

What is the probability of drawing a king from a standard deck of 52 playing cards?

View Question

The perimeter of a rectangle is 50 cm, and its length is 15 cm. What is its width?

View Question

What is the probability of drawing an ace from a standard deck of 52 cards?

View Question

If a:b = 2:3 and b:c = 4:5, what is a:c?

View Question

The probability of rolling a sum of 7 with two dice is:

View Question

What is the length of the diagonal of a square with a side length of 7 cm?

View Question