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Question 40 - Caterham School 11 Plus Maths Sample Questions

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11 Plus Maths: How to Divide?

1. Introduction

It is a process of dividing an amount into equal parts. It is one of the basic arithmetic operations. The division is the opposite of multiplication.

For example, A boy gives 16 bananas to 4 monkeys. How many bananas will each get?

Each will get = 16 ÷ 4 = 4 bananas.

1.1 What are dividend, divisor, quotient and remainder?

  • In division, the number that is being divided by another number is called the dividend.
  • The number by which we divide is called a divisor.
  • The number which we get as a result is called the quotient.
  • The value left after division is called the remainder.

For example: Divide 26 by 5.

01-11+ Topicwise Article-Division

 1.2 How to divide?

Steps to divide a number:

  • First, divide the first digit of the dividend by the divisor.
  • Multiply the digit of the quotient by the divisor.
  • Subtract the result from the dividend.
  • Now, write down the second digit of the dividend.
  • Repeat the same process uptill the last digit of the dividend.

For example: Divide 621 by 3.

02-11+ Topicwise Article-Division

2. Division:

2.1 Divide a Number by 10, 100 and 1000: 

  • To divide a number by 10, the quotient is obtained by removing the unit's digit from the number and the remainder is the one's digit of the number.

For example: Work out 1998 ÷ 10

On dividing 1998 by 10, we get:

Quotient = 199 and remainder = 8.

  • To divide a number by 100, the quotient is obtained by removing the last two digits from the number and the last two digits is the remainder.

For example: work out 1237 ÷ 100

On dividing 1237 by 100, we get

Quotient = 12 and remainder = 37

  • To divide a number by 1000, the quotient is obtained by removing the last three digits from the number and the last three digits is the remainder.

For example: work out 7880 ÷ 1000

On dividing 7880 by 1000, we get

Quotient = 7 and remainder = 880

2.2 Divide positive and negative numbers: 

  • Division of a positive number with another positive number always gives a positive result. Example: 8 ÷ 4 = 2
  • Division of a negative number with a positive number always gives a negative result
  • Example: -6 ÷ 2 = -3
  • Division of a negative number with another negative number always gives a positive result. Example: - 40 ÷ -4 = 10

2.3 Dividing Decimals: 

  • Convert the divisor to a whole number by moving the decimal to the right.
  • Similarly, move the dividend’s decimal to the right up to the same number of places.
  • Now, divide the numbers using the usual method.

Example: Divide 3.6 by 0.6.

Let us move decimals for both numbers.

36 ÷ 6 = 6

So, the answer is 6.

Example: Divide 0.336 by 0.8.

First, we need to move the decimal at the right side to make 0.8 into a whole number.

So it will be 3.36 ÷ 8

Now, ignore the decimal in the dividend and divide them without the decimal.

03-11+ Topicwise Article-Division

Now put the decimal before the last two digits in the answer.

The answer is 0.42

2.4 Division of fractions:

To divide the fractions, multiply the first fraction by the reciprocal (reverse the numerator and denominator) of the second fraction and then reduce the fraction.

Example: 4⁄6 ÷ 3⁄5 = 4⁄6 × 5⁄3

= 2⁄3 × 5⁄3 = 10⁄9

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