Long Division

Front

What is long division?

Back

Long division is a method for dividing two numbers, where the divisor is repeatedly subtracted from the dividend, and the process is organized in a structured way to find the quotient and remainder.

Front

What is a quotient in division?

Back

The quotient is the result of dividing one number by another, representing how many times the divisor fits into the dividend.

Front

What is a divisor?

Back

A divisor is the number by which another number (the dividend) is divided.

Front

What is a dividend?

Back

A dividend is the number that is being divided by the divisor in a division operation.

Front

What is a remainder?

Back

A remainder is the amount left over after division when the dividend cannot be evenly divided by the divisor.

Front

How do you perform long division with a two-digit divisor?

Back

To perform long division with a two-digit divisor, estimate how many times the divisor fits into the leading digits of the dividend, write the result above, multiply, subtract, and bring down the next digit, repeating the process.

Front

What is the process of estimating in long division?

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Estimating in long division involves determining how many times the divisor can fit into the current portion of the dividend, which helps simplify the division process.

Front

How do you interpret the result of a division problem with a remainder?

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The result of a division problem with a remainder can be expressed as 'quotient r remainder' or as a decimal by dividing the remainder by the divisor.

Front

What is the relationship between multiplication and division?

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Multiplication and division are inverse operations; if a × b = c, then c ÷ b = a and c ÷ a = b.

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How can division be applied in real-life situations?

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Division can be applied in various real-life situations, such as splitting costs, distributing resources, or calculating averages.