DIVIDING WITH REMAINDERS WORKSHEET

Dividing with remainders worksheet :

Worksheet on dividing with remainders is much useful to the students who would like practice problems on division.

Dividing with remainders worksheet

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

2.  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 ?

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

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

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

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

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

8.  Suppose you and your friend want to divide 9 polished rocks between you so that you each get the same number of polished rocks. How many rocks will each of you get ?

Dividing with remainders worksheet - Solution

Problem 1 :

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

Solution :

Step 1 : 

Take the first number of dividend and and check whether it is greater than the divisor. 

Step 2 : 

By subtracting 28 from 30, we get 2. Here, we have to bring down the next digit of the given number. That is 0.

Now we have to take this 2 along with 0 and divide this 20 by 7.

From the above long division, we have 

Quotient  =  42

Remainder  =  6

Problem 2 :

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, we have to divide 1850 by 12.

So, let us divide 1850 by 12 using long division. 

From the above long division, we get

Quotient  =  154

Remainder  =  2

You can write 154 R2.

You can also write the quotient as

154 2/12  or  154 1/6 

Therefore, Callie will need 155 boxes to pack all of the books.

Problem 3 : 

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

Solution :

Let us divide 30 by 8 using long division as given below.

From the above working, 

Quotient  =  3  

Remainder  =  6

Problem 4 :

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

Solution :

Let us divide 258 by 9 using long division.

As we have seen in problem 1, if we divide 258 by 9 using long division, we get

From the above long division, we have 

Quotient  =  28

Remainder  =  6

Problem 5 :

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

Solution :

According to the steps explained above, if we divide 400 by 8 using long division, we get 

Quotient  =  50

Remainder  =  0

Problem 6 :

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

Solution :

According to the steps explained above, if we divide 400 by 8 using long division, we get 

Quotient  =  128

Remainder  =  11

Problem 7 :

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

Solution :

According to the steps explained above, if we divide 750 by 16 using long division, we get 

Quotient  =  46

Remainder  =  14

Problem 8 :

Suppose you and your friend want to divide 9 polished rocks between you so that you each get the same number of polished rocks. How many rocks will each of you get ?

Solution :

To know the number of rocks that you will each get, we have to divide 9 by 2. 

When we divide 9 by 2, we get 

Quotient  =  4

Remainder  =  1

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

Therefore, you will each get 4 rocks with 1 rock left over. 

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