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

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

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The sides of a triangle are 5 cm, 12 cm, and 13 cm. What type of triangle is it?

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

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If a + b = 10 and ab = 21, what is the value of a^2 + b^2?

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If sin(θ) = 3/5 and θ is an acute angle, what is tan(θ)?

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If the perimeter of a square is 36 cm, what is the length of its diagonal?

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If 3x = 81, what is the value of x?

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What is the slope of a line passing through the points (2, 3) and (4, 7)?

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

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If 2a + b = 10 and a - b = 4, what is the value of a?

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