Long Division Concepts and Techniques

The video tutorial explains how to perform long division using the traditional algorithm. It begins by setting up the division problem and proceeds through each step of the division process, finding each digit of the quotient. The tutorial emphasizes checking the difference after each subtraction to ensure accuracy. The final result is verified by reconstructing the original dividend using the quotient, divisor, and remainder.

What is the first step in setting up a long division problem?

• Subtract the divisor from the dividend.

• Write the division problem in long division form.

• Multiply the dividend by the divisor.

• Write the dividend and divisor in fraction form.

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When considering the first digit of the dividend, what do you do if it is smaller than the divisor?

• Subtract the divisor from it.

• Consider the next digit of the dividend.

• Add the divisor to it.

• Multiply it by 10.

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How many eights are there in 47?

• 5

• 7

• 6

• 4

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What is the next step after finding the first digit of the quotient?

• Divide the remainder by the divisor.

• Multiply the quotient by the divisor.

• Bring down the next digit of the dividend.

• Add the divisor to the dividend.

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How many eights are there in 75?

• 11

• 9

• 8

• 10

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What do you do after determining the second digit of the quotient?

• Subtract the divisor from the dividend.

• Multiply the divisor by the quotient.

• Bring down the next digit of the dividend.

• Add the remainder to the quotient.

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How many eights are there in 36?

• 5

• 4

• 6

• 3

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What is the remainder when 4756 is divided by 8?

• 2

• 5

• 3

• 4

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What does the quotient represent in the division 4756 / 8?

• The sum of 8 and 4756.

• The difference between 8 and 4756.

• The number of groups of 8 that can be formed from 4756.

• The number of times 8 can be subtracted from 4756.

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How can you verify the result of a division problem?

• By multiplying the quotient by the divisor and adding the remainder.

• By dividing the quotient by the divisor.

• By subtracting the remainder from the dividend.

• By adding the quotient and the divisor.

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