Division by 10 and 100 and 1000

Division by 10 and 100 and 1000 are explained here step by step. We know the following facts regarding division process:

1. (i) When any number is divided by 1, the quotient is the number itself.

(a) 7 ÷ 1 = 7

(b) 53 ÷ 1 = 53

(c) 275 ÷ 1 = 275


(ii) When a number (except 0) is divided by itself, the quotient is 1.

(a) 7 ÷7 = 1

(b) 53 ÷ 53 = 1

(c) 275 ÷ 275 = 1

(iii) When zero (0) is divided by any number, the quotient is zero (0), but no number can be divided by zero (0).

(a) 0 ÷ 8 = 0, 0/8 = 0, 0 ÷ 115 = 0, 0/115 = 0

(b) 0 ÷ 0 has no meaning, 10 ÷ 0 has no meaning, 15 ÷ 0 has no meaning.


2. When a number is divided by 10, the digits, except the digit at the one's place, make the quotient and the digit at one's place becomes the remainder.

As for example:

(i) 48 ÷ 10

Divided by 10







Quotient = 4 Remainder = 8


(ii) 76 ÷ 10

Divided by 10, 100 and 1000






Quotient = 7 Remainder = 6


(iii) 492 ÷ 10

Divided by 10 and 100







Quotient = 49 Remainder = 2


(iv) 178 ÷ 10

Number is Divided by 10









Quotient = 17 Remainder = 8


(v) 569 ÷ 10

Divided by 10









Quotient = 56 Remainder = 9


(vi) 4183 ÷ 10

Number is divided by 10











Quotient = 418 Remainder = 3

Thus, when a. number is divided by 10, the remainder is always the digit of the unit place and the quotient is the number made by the remaining digits.

Therefore, notice that on dividing by 10, the digit in the ONES place forms the remainder, while the remaining digits form the quotient.


3. When a number is divided by 100, the quotient is the number made by the digits, except the digits at one's and ten's places. The number formed by ten's and one's digit of the dividend number is the remainder.

As for example:

(i) 476 ÷ 100
Will give quotient 4 remainder 76


(ii) 3479 ÷ 100
Will give quotient 34 remainder 79

The number of digits in the remainder is equal to the number of zeros in the divisor.


(iii) 527 ÷ 100

A Number is Divided by 100







Quotient = 5 Remainder = 27


(iv) 609 ÷ 100

Divided by 100







Quotient = 6 Remainder = 9


(v) 7635 ÷ 100

Number is Divided by 100









Quotient = 76 Remainder = 35


(vi) 7635 ÷ 100

A Number is Divided by 100







Quotient = 30 Remainder = 79

Thus, when the dividend number is divided by 100, the extreme right two digits form the remainder and the rest of the digits form the quotient.

Therefore, when we divide by 100, the two digits in the ONES and the TENS place form the remainder while the remaining digits form the quotient.

4. Following this method, when we divide by 1000, the remainder will have 3 digits.

When a number is divided by 1000, the quotient is the number made of the digits except the digits at one's, ten's and hundred's place. The number formed by these three digits is the remainder.

As for example:

(i) 1379 ÷ 1000
Will give quotient 1 remainder 379


(ii)45362 ÷ 1000
Will give quotient 45 remainder 362

The 3 digits in the ONES, TENS, HUNDREDS places form the remainder.


(iii) 3851 ÷ 1000

Number is Divided by 1000







Quotient = 3 Remainder = 851


(iv) 9874 ÷ 1000

Divided by 1000







Quotient = 9 Remainder = 874


(v) 35786 ÷ 1000

A Number is Divided by 1000









Quotient = 35 Remainder = 786

Thus, when the dividend number is divided by 1000, the extreme right three digits form the remainder and the rest digit/digits form the quotient.

Division of a number by 20, 30, 40.....

(i) 80 ÷ 20
20 × ____ = 80
2 × 4 = 8
So, 20 × 4 = 80

(ii) 140 ÷ 70


70 × ____ = 140
7 × 2 = 14
So, 70 × 2 = 140

(iii) 900 ÷30
30 × ____ = 900
3 × 3 = 9
30 × 3 = 90
So, 30 × 30 = 900

(iv) 320 ÷ 80
80 × ____ = 320
8 × 4 = 32
So, 80 × 4 = 320

Related Concept

Addition

Word Problems on Addition

Subtraction

Check for Subtraction and Addition

Word Problems Involving Addition and Subtraction

Estimating Sums and Differences

Find the Missing Digits

Multiplication

Multiply a Number by a 2-Digit Number

Multiplication of a Number by a 3-Digit Number

Multiply a Number

Estimating Products

Word Problems on Multiplication

Multiplication and Division

Terms Used in Division

Division of Two-Digit by a One-Digit Numbers

Division of Four-Digit by a One-Digit Numbers

Division by 10 and 100 and 1000

Dividing Numbers

Estimating the Quotient

Division by Two-Digit Numbers

Word Problems on Division


4th Grade Math Activities

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