Division with Remainders

Front

What is division?

Back

Division is the process of splitting a number into equal parts. It answers the question: how many times does one number fit into another?

Front

What is a remainder in division?

Back

A remainder is the amount left over after division when one number cannot be divided evenly by another.

Front

How do you express a division problem with a remainder?

Back

You can express it as 'A divided by B equals C with a remainder of D', where A is the dividend, B is the divisor, C is the quotient, and D is the remainder.

Front

What is the quotient in division?

Back

The quotient is the result of dividing one number by another. It tells how many times the divisor fits into the dividend.

Front

If you divide 10 by 3, what is the quotient and the remainder?

Back

The quotient is 3 and the remainder is 1, because 3 fits into 10 three times (3 x 3 = 9) and 1 is left over.

Front

What does it mean to divide evenly?

Back

To divide evenly means that there is no remainder left after the division. The dividend can be split into equal parts without any leftover.

Front

How can you check your division with remainders?

Back

You can check by multiplying the quotient by the divisor and then adding the remainder. If the result equals the original dividend, your division is correct.

Front

What is the relationship between multiplication and division?

Back

Multiplication and division are inverse operations. If you know the multiplication fact, you can use it to solve the division problem.

Front

What is a practical example of division with remainders?

Back

If you have 14 apples and want to put them into bags of 5, you can fill 2 bags (10 apples) and will have 4 apples left over.

Front

How do you write a division problem?

Back

A division problem can be written in three ways: using the division symbol (10 ÷ 3), as a fraction (10/3), or using long division.