DIVIDING WITH A REMAINDER

Suppose you and your friend want to divide 9 polished rocks between you so that you each get the same number of polished rocks. You will each get 4 rocks with 1 rock left over. You can say that the quotient 9 ÷ 2 has a remainder of 1.

Sometimes a remainder is written as a fraction of the divisor. For example, you can write 9 ÷ 2 = 4 1/2.

Example 1 : 

Find the quotient and remainder when 30 is divided by 8.

Solution :

Divide 30 by 8 using long division.

Quotient = 3

Remainder = 6

Example 2 : 

Find the quotient and remainder when 258 is divided by 9.

Solution :

Divide 258 by 9 using long division.

Quotient = 28

Remainder = 9

Example 3 : 

Find the quotient and remainder when 300 is divided by 7.

Solution :

Divide 300 by 7 using long division.

Quotient = 42

Remainder = 7

Example 4 : 

Find the quotient and remainder when 400 is divided by 8.

Solution :

Divide 400 by 8 using long division.

Quotient = 50

Remainder = 0

Example 5 : 

Find the quotient and remainder when 750 is divided by 16.

Solution :

Divide 750 by 16 using long division.

Quotient = 46

Remainder = 14

Example 6 :

Find the quotient and remainder when 1675 is divided by 13.

Solution :

Divide 1675 by 13 using long division.

Quotient = 128

Remainder = 13

Example 7 :

Callie has 1,850 books. She must pack them into boxes to ship to a bookstore. Each box holds 12 books. How many boxes will she need to pack all of the books ?

Solution :

To find the number of boxed that she needs to pack all of the books, divide 1850 by 12 using long division.

Quotient = 154

Remainder = 2

Callie can pack the books in 154 boxes perfectly and with 2 books left. So, she needs 155 boxes to pack all the books.

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