Learn Division

Subtracting a certain number of objects again and again is division.

Note:

  •  Division is represented by the ‘÷’ sign.
  •  The result is expressed with ‘=’ sign.
  •  Using tables we can do divisions without subtracting objects.
Example
If there are 10 chocolates. How many groups can be made of these 10 chocolates with equal numbers in each group?
5 groups of 2 chocolates each  

Explanation :

 Let us first take away 2 chocolates from 10. 8 chocolates will remain.
 Now when we take away 2 chocolates from 8. 6 chocolates will remain.
 When we take away 2 chocolates from 6. 4 chocolates will remain.
 From remaining 4 when we take away 2 chocolates, 2 chocolates will remain.
 When we remove a group of 2 for the fifth time, zero chocolates remain.
 We get 5 such groups of 2 chocolates each.
 So we can say that 10÷2= 5


Tables for divisions


Tables say us the result by how many times a number is.
If we say 2 × 5 = 10. It means that to get a 10 as a product say the table of 2 up to 10, we get 5.
So that 10 ÷ 2= 5.

Note:

The number to be divided is the dividend. The number by which we divide is the divisor.
If 8 ÷ 2 = 4. Here dividend is 8, divisor 2, quotient 4 and remainder 0.


Simple Example

 7

Explanation:

To divide 21 by 3, say the 3 times table up to 21.
Three sevens are twenty-one, hence 7 is the quotient.
Subtract the product of 3 and 7 from the given 21.The remainder is zero.
Hence, 21 ÷ 3 = 7.

Division by 3


Division : Word Problems


Example 1:
If there are 17 apples to be divided among 4 children. How many will remain?
 One apple will remain

Explanation :

To divide apples among children we have to divide 17 by 4.
17 ÷ 4 = How many?
Say the 4 times table up to 17. Four fours are 16, 4 fives are 20. 20 is bigger than 17.
Hence, we will stop at 4 fours. Write 4 above the line in the quotient. 4 × 4 = 16.
From the dividend 17, subtract the product 16.The remainder is 1.

Odd Number Division By 4


Example 2:
A book has 64 pages. Elizabeth reads 2 pages every day. In how many days will she complete the book?
 Elizabeth completes the book in 32 days.

Explanation :

To find the days for complete the book we have to divide 64 by 2.
64 ÷ 2 = How many?
To divide, first look at the digit on the left in the dividend. Say the 2 times table up to 6.
Two threes are six. The product of 3 and 2 is 6. Subtract this product from 6 T. Zero tens remain.
Write the 3 above the line in the tens place in the dividend.
Write the 4 units in front of the 0. Divide 4 units by 2. Say the 2 times table up to 4.
The quotient is 2. The product of 2 and 2 is 4. Subtract this product from 4 U. Zero tens remain.
Remainder 0.
The quotient is 32.
Thus, 64 ÷ 2 = 32.

Division by 2


Divide Three Digit Numbers


Simple Example

 129

Explanation:

To divide, first look at the hundreds place in the dividend. Say the 4 times table up to 5. The product of 4 and 1 is 4. Subtract this product from 5 H. 1H remains. The quotient is 1.
Write the 1 tens in front of the 1. Divide 11 tens by 4. 11T-8T. The quotient is 2. Remainder is 3.
Write the 6 units in front of the 3. Divide 36 units by 4. Say the 4 times table up to 36.
The quotient is 9. Subtract this product from 36 U. Remainder 0.
The quotient is 129.
Hence, 516 ÷ 4 = 129

Even Number Division by 4


Division : Word Problems


3876 shirts are arranges in 17 shelves. If equal numbers of shirts are kept on each shelf, how many shirts are there in each shelf?

 There are 228 shirts in each shelf.

Explanation :

To find the number of shirts in each shelf divide 3876 by 17.
To divide, first look at the thousands place in the dividend. Which is 3.
3 is smaller than divisor 17. 3 cannot be divided by 17. Take 38 to divide with 17.
Divide 38 by 17. Subtract 34 from 38. The quotient is 2. Remainder is 4.
Write the 7 tens in front of the 4. Divide 47 by 17. Subtract 34 from 47.
The quotient is 2. Remainder is 13.
Write the 6 units in front of the 13. Divide 136 units by 17.
Say the 17 times table up to 136.
The quotient is 8. Subtract this product from 136 U. Remainder 0.
The quotient is 228.
Hence, 3876 ÷ 17 = 228

Division By 17


Division fact family


Set of division related fact is fact family.

  •  If we say, 35 ÷ 7. We will get 5.
  •  As well as 35 ÷ 5. We will get 7.
  •  So that, 5,7 and 35 makes fact family.

 Points to Remember

Dividing by 1

 If we divide any number with 1 we will get the number itself.

Let us say 78 ÷ 1. We will get 78.


Quick Tips

  •  We should always start to divide the numbers from first place of the given number.
  •  The order of dividing some number is thousands, hundreds, tens… and so on…
  •  When we divide any number, divisor must be smaller than the number of dividend.
  •  Subtract the product from the number of dividend every time and then take the next number until all number finished.
  •  Quotient is always written above the line and product below the number of dividend.

Think

  •   Pens cost 60, and then what is the cost of each pen?
  •  If 20,000 ÷ 20 = 1000, what is 20,000 ÷ 200?
  •  Rupa has 55 chocolates. She wants to distribute them with her friends as each friend can get 5 chocolates.How many friends can get chocolates?





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