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 x - y = 5 and x + y = 15, what is the value of x?

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If the sum of three consecutive integers is 96, what are the integers?

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What is the remainder when 5^100 is divided by 3?

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What is the area of an equilateral triangle with side length 10 cm?

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A car covers a distance of 150 km in 2.5 hours. What is its average speed?

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A sum of money doubles itself in 5 years at simple interest. What is the rate of interest?

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If the cost price of an item is Rs. 400 and the selling price is Rs. 500, what is the profit percentage?

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What is the sum of the first 50 positive integers?

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

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A sphere has a radius of 7 cm. What is its volume?

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