DIVIDING WITH A REMAINDER

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.

Example 8 :

Jon needs to buy some files. They cost £9 each. He has £72. How many files can he buy?

Solution :

Cost of each file = £9

Amount he can spent = £72

Number of files = 72/9

= 8

So, 8 files he can buy maximum.

Example 9 :

Andy loves astronomy. He’s worked out that he can see about 32 000 stars with his new telescope. If there are about 100 stars visible in any one galaxy. How many galaxies can he see?

Solution :

Number of stars he can see with his telescope = 32000

Number of stars visible = 100

Number of galaxies he can see = 32000/100

= 320

Example 10 :

Kate has been planting trees. She has planted a total of 155 trees in rows of 5. How many rows has she planted?

Solution :

Total number of trees = 155

Number of trees in each row = 5

Number of rows = 155/5

= 31

So, there are 31 rows of she has planted.

Example 11 :

Charles is saving up to buy a new bike. The bike costs £170. He gets £74 for his birthday, and £4 pocket money a week. How many weeks will he have to save until he can get the bike?

Solution :

Cost of bike = 170

Amount he gets for birthday gift = 74

Remaining amount he needs = 170 - 74

= 96

Packet money he gets each week = 4

Number of weeks required to have 96 = 96/4

= 24

So, they need to save his pocket money for 24 weeks.

Example 12 :

42 cupcakes were iced by 7 kids. If they each iced the same amount, how many did they ice each?

Solution :

Number of cupcakes = 42

Number of kids works = 7

Number of cupcakes worked by each kid = 42/7

= 6 kids.

Example 13 :

How many pots were used if 6 seeds were planted in each pot from a packet of 54?

Solution :

Number of seeds were planted in each pot = 6

Number of packet = 54

number of pots = 54/6

= 9 pots

Example 14 :

I run the same distance each day. Over 9 days the total distance is 72 km. How far did I run each day?

Solution :

Distance covered = 72 km

Number of days = 9

Distance covered by myself on each day = 72/9

= 8 km

Example 15 :

323 sheets of coulored paper will be divided equally among 3 classes. How many sheets of paper will each class get, and how many will be left over?

Solution :

Using division algorithm,

dividend = divisor x quotient + remainder

323 = 107 x 3 + 2

Dividing 323 sheets equally among 3 classes, each class will get 107 sheets and 2 papers will be left over.

Example 16 :

There are 286 pencils divided into packages of 5 pencils each. How many packages we can make? How many pencils will be Left over?

Solution :

dividend = divisor x quotient + remainder

286 = 57 x 5 + 1

Dividing 2863 pencils equally of packages each package will have 5 pencils. 

Number of packages can be made = 57 and number of pencils left = 1.

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