Understanding Division and Remainders

The video tutorial explains how to solve a long division problem with the dividend 1875 and divisor 23. It begins by setting up the problem, then uses estimation to find the first digit of the quotient. After an initial incorrect estimate, the correct digit is found, and the process continues to complete the division, resulting in a quotient of 81 with a remainder of 12.

What is the first step in solving a long division problem?

• Multiply the dividend

• Subtract the divisor

• Set up the division problem

• Estimate the quotient

Why do we consider more digits of the dividend initially?

• To avoid rounding errors

• Because the first two digits are not large enough

• Because the divisor is too small

• To make the division easier

How can rounding help in estimating the first digit of the quotient?

• It increases the divisor

• It eliminates the remainder

• It provides a rough estimate

• It simplifies the multiplication

What should you do if your first estimate of the quotient is too large?

• Increase the divisor

• Add more digits to the dividend

• Try a smaller number

• Panic and start over

What is the correct first digit of the quotient in this problem?

• 8

• 7

• 9

• 6

After finding the correct first digit, what is the next step?

• Bring down the next digit

• Divide the remainder

• Multiply the divisor

• Add the remainder

How many times does 23 fit into 35?

• 0

• 2

• 3

• 1

What is the remainder when 1875 is divided by 23?

• 8

• 12

• 15

• 10

What does the remainder tell us in a division problem?

• The division is incorrect

• The exact quotient

• The leftover amount after division

• The divisor is too large

What is the final result of dividing 1875 by 23?

• 81 with a remainder of 12

• 82 with a remainder of 10

• 80 with a remainder of 15

• 79 with a remainder of 14