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

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If a right triangle has legs of 9 cm and 12 cm, what is the length of the hypotenuse?

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If 2x - 3 = 7, what is the value of x?

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

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The sides of a triangle are 13 cm, 14 cm, and 15 cm. What is its area?

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

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A car travels 240 km in 4 hours. What is its average speed?

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A square is inscribed in a circle with a radius of 5 cm. What is the area of the square?

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

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What is the sum of all odd numbers from 1 to 99?

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