Long Division Concepts and Techniques

The video tutorial explains how to perform long division with a four-digit number divided by a two-digit number. It covers setting up the division, calculating the quotient using rounding and multiplication, handling the remainder, and verifying the result. The tutorial emphasizes understanding the process and verifying the solution by checking the multiplication of the quotient and divisor plus the remainder equals the dividend.

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

• Write the dividend and divisor in fraction form

• Write the quotient in a specific form

• Multiply the dividend by the divisor

• Subtract the divisor from the dividend

Why do we consider the next digit when starting long division with 2110 divided by 62?

• Because 2 is greater than 62

• Because 21 is greater than 62

• Because 21 is equal to 62

• Because 2 and 21 are both less than 62

How can rounding help in estimating the quotient during long division?

• It simplifies the division process

• It makes the numbers larger

• It eliminates the need for division

• It makes the numbers smaller

What is the result of multiplying 3 by the divisor in the first part of the quotient calculation?

• 6

• 180

• 60

• 18

What should be done if the difference after subtraction is greater than or equal to the divisor?

• Multiply the quotient by 2

• Leave the quotient unchanged

• Increase the quotient

• Decrease the quotient

What is the next step after determining the first part of the quotient?

• Multiply the quotient by the divisor

• Bring down the next digit

• Subtract the quotient from the dividend

• Add the divisor to the dividend

How many 62s are estimated to be in 250 after rounding?

• 4

• 5

• 6

• 3

What is the remainder when 2110 is divided by 62?

• 2

• 3

• 0

• 1

Why is 62 not a factor of 2110?

• Because the quotient is not a whole number

• Because the remainder is zero

• Because the divisor is larger than the dividend

• Because the remainder is not zero

What equation verifies the division result?

• Quotient minus divisor equals dividend

• Quotient plus divisor equals dividend

• Quotient times divisor plus remainder equals dividend

• Quotient times divisor equals dividend