Division with Remainders Word Problems

Division is an arithmetic operation which is the opposite of multiplication. The symbol used for division is (÷).

Notation:

Division is often represented by inserting fraction bar which is nothing but the horizontal line between divisor and dividend. Dividend is placed in numerator and divisor are placed in denominator.  For example, a divided by b is written as,

`a/b`

Key terms - division with remainders word problems

Dividend:

The number which is being divided in a division is known as dividend.

Divisor:

The number which divides the dividend is known as divisor.

Quotient:

Quotient is the solution / answer for the problem

Remainder:

The remainder is the amount "left over" after the division

Example problems on division with remainders problems

Division problem 1:

What is division value and remainder of the given fraction 13 / 4

Solution:

When we divide 13 by 4 it gives 3 ( 3 * 4 = 12) as a quotient and 1 is the (13 - 12) remainder value

Quotient = 3

Remainder = 1

Division problem 2:

What is division value and remainder of the given fraction 6 / 4

Solution:

6 / 4 =   There is one 4 in 6

Hence Quotient = 1

Remainder = 2

Solving Division with remainders Word problems:

Division with remainders word problem 1:

A 40 in stick is cut into pieces of 7 in length. How many pieces we can get out of this stick? What is the length of the scrap? Solve the word problem.

Solution:

The problem describes how to divide a 40 in stick into pieces of 7 in each. The remaining piece of the stick is called the scrap.

Therefore, the dividend is 40in., the divisor is 7 in. The quotient of this is the number of pieces and the remainder is the length of the scrap. When we divide 40 by 7, there are fivet 7’s in 40 (5*7= 35) and the remainder is 5.

Hence, the number of pieces of 7 in = 5(quotient)

The length of the scrap = 5 (remainder)

Division with remainders word problem 2:

There are 11 apples and 4 kids . We have to give equal number of apples to each kids. How many apples will each kids get and find the amount of apple left over?

Solution:

Here we have to divide number of apples  10 by number of kids  4.  Hence ,

11 / 4 = 2 with remainder 3

Number of apples each kid will get = 2

The apples left over = 3

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Division with remainders word problem 3:

Consider there are 10 boys in a class. Divide them into 3 groups. How many boys each group will consists and how many boys are left over?

Solution:

Here the dividend is total number of boys 10 and the divisor is 3. We have to divide total number of boys by number of groups to find the number boys each group having .

10 / 3 = 3

Remainder = 1

Hence each group gets 3 boys and 1 boy is left over.