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.

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What is the dividend in a division problem?

Back

The dividend is the number that is being divided in a division problem.

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What is the divisor in a division problem?

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The divisor is the number by which the dividend is divided.

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What is the quotient in a division problem?

Back

The quotient is the result of the division, representing how many times the divisor fits into the dividend.

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What does 'r' represent in division problems?

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'r' stands for remainder, which is the amount left over after division when the dividend is not evenly divisible by the divisor.

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

Back

1. Divide the first part of the dividend by the divisor. 2. Multiply the divisor by the quotient obtained. 3. Subtract this from the dividend. 4. Bring down the next digit and repeat.

Front

What is the first step in long division?

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The first step is to determine how many times the divisor can fit into the leading digits of the dividend.

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How do you handle remainders in long division?

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Remainders can be expressed as a whole number, as a fraction, or as a decimal, depending on the context of the problem.

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What is the process of checking your long division answer?

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To check your answer, multiply the quotient by the divisor and add the remainder. The result should equal the original dividend.

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What is an example of a division problem with a remainder?

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An example is 144 divided by 5, which equals 28 with a remainder of 4.