Long Division Concepts and Steps

This video tutorial explains how to perform long division with a four-digit dividend and a one-digit divisor using the traditional algorithm. It covers setting up the division problem, dividing each digit step-by-step, and verifying the result. The tutorial emphasizes understanding the placement of digits in the quotient and ensuring the remainder is less than the divisor.

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

• Write the dividend and divisor in fraction form

• Write the dividend and divisor in long division form

• Multiply the dividend by the divisor

• Subtract the divisor from the dividend

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

• Consider the next digit as well

• Subtract the divisor from it

• Multiply it by 10

• Ignore it and move to the next digit

How do you determine the first digit of the quotient?

• By adding the first two digits of the dividend

• By subtracting the divisor from the first digit of the dividend

• By multiplying the first digit of the dividend by the divisor

• By dividing the first two digits of the dividend by the divisor

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

• Subtract the quotient from the dividend

• Add the divisor to the dividend

• Bring down the next digit of the dividend

• Multiply the quotient by the divisor

How do you find the second digit of the quotient?

• By dividing the new number formed by the next digit and the remainder by the divisor

• By multiplying the remainder by the divisor

• By adding the remainder to the next digit

• By subtracting the divisor from the new number

What do you do if the difference after subtraction is less than the divisor?

• You need to multiply the difference by the divisor

• You need to bring down another digit

• The digit in the quotient is correct

• The digit in the quotient is incorrect

How do you determine the final digit of the quotient?

• By subtracting the divisor from the last number

• By adding the last digit to the remainder

• By multiplying the last digit by the divisor

• By dividing the last number formed by the remainder and the last digit by the divisor

What does a remainder of zero indicate?

• The divisor is not a factor of the dividend

• The division is incorrect

• The quotient is incorrect

• The divisor is a factor of the dividend

What does the quotient represent in a division problem?

• The number of times the divisor is subtracted from the dividend

• The number of groups of the divisor in the dividend

• The difference between the dividend and divisor

• The sum of the dividend and divisor

How can you verify the correctness of the quotient?

• By dividing the quotient by the divisor

• By subtracting the quotient from the dividend

• By multiplying the quotient by the divisor and checking if it equals the dividend

• By adding the quotient to the divisor