Long Division

Front

What is long division?

Back

Long division is a method for dividing large numbers by breaking the division process into a series of easier steps.

Front

What is the first step in long division?

Back

The first step is to divide the first digit (or group of digits) of the dividend by the divisor.

Front

How do you determine how many times the divisor fits into the dividend?

Back

You estimate how many times the divisor can fit into the current portion of the dividend without exceeding it.

Front

What do you do after finding how many times the divisor fits into the dividend?

Back

You multiply the divisor by the number of times it fits and write the result under the dividend.

Front

What is the purpose of subtracting in long division?

Back

Subtracting helps to find the remainder after dividing the current portion of the dividend.

Front

What do you do with the remainder in long division?

Back

You bring down the next digit of the dividend to continue the division process.

Front

What is a quotient in division?

Back

The quotient is the result of the division process, representing how many times the divisor fits into the dividend.

Front

What is a remainder in division?

Back

The remainder is what is left over after the division process when the divisor does not evenly divide the dividend.

Front

How can you check your long division answer?

Back

You can check your answer by multiplying the quotient by the divisor and adding the remainder to see if it equals the original dividend.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations; knowing one can help you understand the other.