Class 4 Exam  >  Class 4 Notes  >  Mathematics for Class 4  >  Chapter Notes: Division

Division Class 4 Notes Maths

What is Division?

Division is the process of sharing or splitting a total amount into equal parts. 

DivisionDivision

  • For example, if you have 12 candies and want to share them with 3 friends, you divide 12 by 3. 
  • Each friend receives 4 candies, as 12 divided by 3 equals 4. 
  • Division helps us determine how many equal parts can be made from a total amount.
  • In other words, division is about equal sharing or grouping.

Division Class 4 Notes MathsDivision helps us figure out how many equal parts we can make from a total amount.

Division means equal sharing or equal grouping

Question for Chapter Notes: Division
Try yourself:When we share equally we __________
View Solution

When we do division, there are different terms to know:

  • Dividend: The number that you want to divide. For example, in 20 ÷ 4, the dividend is 20.
  • Divisor: The number you divide by. In 20 ÷ 4, the divisor is 4.
  • Quotient: The result you get from dividing. For 20 ÷ 4, the quotient is 5.
  • Remainder: If there's anything left over after dividing, it's called the remainder. For 22 ÷ 4, the quotient is 5 and the remainder is 2.

Division Class 4 Notes Maths

Look at the example above

1. Verifying  Division
To check a division result, multiply the quotient by the divisor and add the remainder to this product. The result should be equal to the dividend. Thus,
Division Class 4 Notes MathsFrom the above division fact, we have,
Division Class 4 Notes MathsSo, our answer is correct.

2. Some Important Points Related to Division
We always start division from the place of highest value. In case of 2-digit dividends, we start from tens place and in case of 3-digit dividend, we always start from hundreds place. The remainder is always smaller than the divisor.

3. Properties of Division
(i) When any number is divided by 1, the quotient is the number itself.
Examples: 62 ÷ 1 = 62, 125 ÷ 1 = 125
(ii) When any number is divided by itself (except 0), the quotient is 1.
Examples: 64 ÷ 64 = 1, 586 ÷ 586 = 1.
(iii) When 0 is divided by any number (except 0), the quotient is always 0.
Examples: 0 ÷ 58 = 0, 0 ÷ 6423 = 0.
(iv) Division by zero is not allowed.

Division of a Number by a 1-Digit Number

Let's Learn with some example

Example 1: Divide 649 by 7.

Division Class 4 Notes Maths  View Answer

We divide, as shown alongside.

  • Start by looking at the first number in the dividend.
  • Find a number in the table of 7 less than or equal to 64.
  • So, 9 is the required number. 7 x 9 = 63 , so write 63 below 64.
  • Subtract, the number you got by multiplying the divisor,from the number in the dividend.
  • 64 minus 63 equals 1. Bring down the next digit, from the number in the dividend.
  • Repeat the same process again.
  • 7 x 2 equals 14. So use 7.
  • Then, subtract. We get 5 left. This 5 is our remainder.
  • And the quotient is 92

Division Class 4 Notes Maths
Thus, 649 ÷ 7 gives Q = 92 and R = 5.

Check:

Divisor × Quotient + Remainder
= 7 × 92 + 5 = 644 + 5 = 649

Dividing 4-Digit and 5-Digit Numbers by a 1- Digit Number

Example 2: Divide 4589 by 6.

Division Class 4 Notes Maths  View Answer

Division Class 4 Notes Maths

  • First, consider the thousands place. The divisor 6 does not divide into the first figure 4 of the dividend, as 6 > 4, so consider the first two digits 45 of the dividend. 6 goes into 45, 7 times and yields 3 as remainder. 
  • Write the quotient 7 above 5 in 45. Then, complete as shown by bringing down the digit 8 and lastly the digit 9 of the dividend.

Check: To check answer, we use the relationship,
Dividend = Divisor × Quotient + Remainder

  • Here, Divisor = 6, Quotient = 764, Remainder = 5 and Dividend = 4589.
    So, Dividend = Divisor × Quotient + Remainder.
    = 6 × 764 + 5 = 4584 + 5 = 4589
  • Thus, 4589 ÷ 6 gives Q = 764 and R = 5.

Example 3: Divide 7982 by 7.

Division Class 4 Notes Maths  View Answer

Solution:

Division Class 4 Notes Maths

Thus, 7982 ÷ 7 gives Q = 1140 and R = 2.

Example 4: Divide 67316 by 7.

Division Class 4 Notes Maths  View Answer

Solution:

Division Class 4 Notes Maths

Thus, 67316 ÷ 7 gives Q = 9616 and R = 4.

EduRev Tip: 7 does not go into 2 so, we put a 0 in the quotient and bring down 2.

Division of a Number by a 2-Digit Number

Let's Learn with some example

Example 5: Divide 5975 by 14.

Division Class 4 Notes Maths  View Answer

Solution:

Division Class 4 Notes Maths

  • Starting from the leftmost digits, we consider 59, the number formed by the first two digits 5 and 9 of the dividend, as divisor is a 2-digit number. 14 < 59.
  • Using the multiplication table of 14, we see that 14 goes into 59, 4 times and yields 3 as a remainder. Write the quotient 4 above  9 of 59. 
  • Then, complete the division as shown by bringing down 7 and lastly the figure 5 of the dividend.
    Check: Dividend = Divisor × Quotient + Remainder
    = 14 × 426 + 11
    = 5964 + 11 = 5975
  • Thus, 5975 ÷ 14 gives Q = 426 and R = 11.

Example 6: Divide 92682 by 21 and check your answer.

Division Class 4 Notes Maths  View Answer

Solution:

Division Class 4 Notes Maths

Thus, 92682 ÷ 21 gives Q = 4413 and R = 9.

Check:
Here, divisor = 21, quotient = 4413, remainder = 9 and dividend = 92682.
We have,
Dividend = Divisor × Quotient + Remainder
= 21 × 4413 + 9
= 92673 + 9 = 92682
So, the answer is correct.

Division of a Number by 10, 100 and 1000

When you divide a number by 10, 100, or 1000, you move the decimal point to the left by 1, 2, or 3 places, respectively. This makes the number 10, 100, or 1000 times smaller. For example, 2500 ÷ 100 = 25.

Example 7: Divide each of the following numbers by 10.
(a) 58
(b) 723
(c) 8165

Solution:

(a)
Division Class 4 Notes Maths
Thus, 58 ÷ 10 gives Q = 5 and R = 8.
(b)
Division Class 4 Notes Maths
Thus, 723 ÷ 10 gives Q = 72 and R = 3.
(c)
Division Class 4 Notes Maths
Thus, 8165 ÷ 10 gives Q = 816 and R = 5.

From the above examples, we get the following rule:

Rule: On dividing a number by 10, we remove the digit at the ones place leaving the rest of the digits to form the quotient and the digit we remove from the ones place is the remainder.

Thus,
Division Class 4 Notes Maths


Example 8: Divide each of the following numbers by 100.
(a) 563
(b) 7289
(c) 17019

Solution:

(a)
Division Class 4 Notes Maths
Thus, 563 ÷ 100 gives Q = 5 and R = 63.
(b)
Division Class 4 Notes Maths
Thus, 7289 ÷ 100 gives Q = 72 and R = 89.
(c)
Division Class 4 Notes Maths
Thus, 17019 ÷ 100 gives Q = 170 and R = 19.

From the above examples, we get the following rule:

Rule: On dividing a number by 100, we remove the digits at the ones and tens places leaving the rest of the digits to form the quotient and the digits we remove from the ones and tens places form the remainder.

Thus,
Division Class 4 Notes Maths

Example 9: Divide each of the following numbers by 1000.
(a) 5637
(b) 15863
(c) 743895

Solution:

(a)
Division Class 4 Notes Maths
Thus, 5637 ÷ 1000 gives Q = 5 and R = 637.
(b)
Division Class 4 Notes Maths
Thus, 15863 ÷ 1000 gives Q = 15 and R = 863.
(c)
Division Class 4 Notes Maths
Thus, 743895 ÷ 1000 gives Q = 743 and R = 895.

From the above examples, we get the following rule:

Rule: On dividing a number by 1000, we remove the digits at the ones, tens and hundreds places to get the remainder and the rest of the digits form the quotient.

Thus,
Division Class 4 Notes Maths

Question for Chapter Notes: Division
Try yourself:Rahul has solved a division problem. Find out whether he has solved it correctly or not? 

42÷8;Q=5,R=2

A)

B) 

C)                    

D)

View Solution

Division of a Number by Multiples of 10 and 100

Example 10: Divide 6832 by 50.

Division Class 4 Notes Maths  View Answer

Solution:

Division Class 4 Notes Maths
Thus, 6832 ÷ 50 gives Q = 136 and R = 32.

Example 11: Divide 52891 by 600.

Division Class 4 Notes Maths  View Answer

Solution:

Division Class 4 Notes Maths
Thus, 52891 ÷ 600 gives Q = 88 and R = 91.

When you do a division problem, sometimes the remainder forms the part of your answer and sometimes it doesn’t.

Let's Practice

Example 12: 996 students of a school went on a picnic. They boarded buses each of which could hold only 24 students. How many buses were required?Division Class 4 Notes Maths

Division Class 4 Notes Maths  View Answer

Solution:

  • At first, we divide 996 by 24 as shown on the right.
  • If we use the quotient 41 as the number of buses needed, then 12 students cannot go for the picnic.
    Division Class 4 Notes Maths
    So, we need to have one more bus to answer the question correctly.

Thus, 42 buses were needed to take the students for the picnic.

Example 13: The sports teacher is cutting ribbons for the sports medals. How many ribbons of 30 cm length can the teacher get from a roll of ribbon that is 1520 cm long?

Division Class 4 Notes Maths  View Answer

Solution:

At first, we divide 1520 by 30.
Division Class 4 Notes Maths

  • Here, we ignore the remainder as the question asks for the number of pieces exactly 30 cm in length.

Thus, the teacher will get 50 pieces each of 30 cm length.

Example 14: Five friends together purchased a cricket kit for ₹ 7925. Find the money contributed by each child.

Division Class 4 Notes Maths  View Answer

Solution:

  • Money contributed by 5 children = ₹ 7925
  • Money contributed by 1 child = ₹ 7925 ÷ 5
                                                                        = ₹ 1585
    Division Class 4 Notes Maths

Thus, the money contributed by each child is ₹ 1585.

Example 15: The product of two numbers is 22120. If one of the numbers is 35, find the other number.

Division Class 4 Notes Maths  View Answer

Solution:

  • Product of two numbers = 22120
  • One of the numbers = 35
  • So, the other number = Product ÷ Given number
                                                      = 22120 ÷ 35 = 632
    Division Class 4 Notes Maths

Thus, the other number is 632.

The document Division Class 4 Notes Maths is a part of the Class 4 Course Mathematics for Class 4.
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FAQs on Division Class 4 Notes Maths

1. What is the definition of division in mathematics?
Ans. Division is a mathematical operation that involves splitting a number (the dividend) into equal parts. The number you divide by is called the divisor, and the result of the division is called the quotient. For example, if you divide 10 by 2, you get 5, meaning that 10 can be split into 2 equal parts of 5.
2. How do you divide a number by a 1-digit number?
Ans. To divide a number by a 1-digit number, you can use long division or simple division. Start by determining how many times the divisor can fit into the dividend. Write down the quotient and multiply it by the divisor to find the remainder, if any. For instance, when dividing 36 by 4, since 4 fits into 36 nine times, the quotient is 9 and there is no remainder.
3. What is the process for dividing 4-digit and 5-digit numbers by a 1-digit number?
Ans. To divide 4-digit and 5-digit numbers by a 1-digit number, you use long division. Start from the leftmost digit of the dividend. See how many times the divisor fits into the first digit or the first few digits of the dividend. Write the quotient above and subtract the product from those digits. Bring down the next digit and repeat the process until all digits are processed.
4. How do you divide a number by a 2-digit number?
Ans. To divide by a 2-digit number, use long division. Begin by estimating how many times the 2-digit divisor fits into the leading digits of the dividend. Write down the estimated quotient, multiply it by the divisor, and subtract it from the dividend. Bring down the next digit and continue the process until you have worked through the entire dividend.
5. What happens when you divide a number by 10, 100, or 1000?
Ans. When you divide a number by 10, 100, or 1000, you are essentially shifting the decimal point to the left. For example, dividing 250 by 10 gives 25.0, dividing by 100 gives 2.50, and dividing by 1000 gives 0.250. This method simplifies calculations and helps quickly determine the result.
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