Understanding Division and Remainders

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