Long Division Concepts and Techniques

The video tutorial explains the process of long division using a two-digit number divided by a one-digit number. It begins by introducing the components of long division, such as the dividend, divisor, and quotient. The tutorial then walks through the steps of performing long division, including placing digits in the quotient, multiplying, and subtracting. It also covers how to handle remainders and verify the results. The video concludes with a brief mention of an alternative method to be discussed in a subsequent video.

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

• Write the dividend and divisor in fraction form

• Subtract the divisor from the dividend

• Write the quotient in long division form

• Multiply the dividend by the divisor

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When performing long division, what do you do after placing a digit in the quotient?

• Add it to the divisor

• Divide it by the divisor

• Multiply it by the divisor

• Subtract it from the dividend

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How do you verify that the digit placed in the quotient is correct?

• Make sure the quotient is a whole number

• Check if the difference is less than the divisor

• Ensure the product is greater than the dividend

• Confirm the divisor is a factor of the dividend

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What is the next step after bringing down the next digit in long division?

• Determine how many times the divisor fits into the new number

• Multiply the digit by the divisor

• Subtract the digit from the previous quotient

• Add the digit to the previous remainder

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In the example given, how many sixes are there in 27?

• 6

• 5

• 4

• 3

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What is the remainder when 87 is divided by 6?

• 3

• 2

• 4

• 1

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How can the result of the division 87 ÷ 6 be expressed?

• 87 = 13 * 6 + 5

• 87 = 15 * 6 + 2

• 87 = 12 * 6 + 7

• 87 = 14 * 6 + 3

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What does the quotient tell us in the division of 87 by 6?

• There are 13 sixes in 87 with 5 left over

• There are 12 sixes in 87 with 7 left over

• There are 15 sixes in 87

• There are 14 sixes in 87 with 3 left over

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What is the purpose of the remainder in long division?

• To verify the accuracy of the division

• To show the leftover amount after division

• To indicate the number of times the divisor fits into the dividend

• To determine the next digit in the quotient

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What will be covered in the next video following this tutorial?

• Division with decimals

• Subtraction shortcuts

• The method of partial quotients

• Advanced multiplication techniques

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