# Division of Two-Digit by a One-Digit Numbers

In division of two-digit by a one-digit numbers are discussed here step by step.

How to divide 2-digit numbers by single-digit numbers?

Let us follow the examples to learn to divide 2-digit numbers by one-digit numbers.

I: Dividing a 2-digit Number by a 1-Digit Number without Remainder:

1. Divide the following and verify the result

(i) 42 ÷ 6

(ii) 85 ÷ 5

Solution:

(i) 42 ÷ 6

Since, 6 sevens are 42, i.e., 6 × 7 = 42

So, 7 will be quotient

6 × 7 + 0 = 42, the dividend

So, quotient 7 is verified

Therefore, 7 is quotient

(ii) 85 ÷ 5

(a) 8 > 5 so first 8 will be divided. 8T ÷ 5 = 1T so quotient will be 1 ten

(b) 8T - 5T = 3T, 3T + 5 = 35 for 35 ÷ 5, 5 × 7 = 35.

So 7 is quotient

(c) 5 × 17 = 85 (dividend)

So, result is verified.

Therefore, Quotient = 17, remainder = 0

2. Divide 77 by 7

We proceed as follows:

Step I: Arrange the two given numbers as shown.

Step II: Divide the tens by 7.

We know 7 × 1 = 7.

Write 1 in tens place of the quotient and 7 below 7.

Subtract 7 from 7 to get 0.

Step III: Bring down 7 ones and divide it by 7.

We know 7 × 1 = 7.

Write 1 in the ones place of the quotient and 7 bellow 7.

Subtract 7 from 7 to get 0.

Thus, 77 ÷ 7 = 11

II: Dividing a 2-digit Number by a 1-Digit Number with Remainder:

1. Divide the following and verify the result

76 ÷ 6

(a) 7 > 6, so 7T will be divided by 6,

6 one is 6, so 1T is quotient

(b) 7 – 6 = 1, 6 is carried down, so 16 will, be divided by 6.

6 twos are 12, 6 threes are 18, so quotient will be 2.

(c) 16 - 12 = 4 is the remainder

(d) 6 × 12 + 4 = 72 + 4 = 76 (dividend)

Therefore, result is verified.

The quotient = 12

Remainder = 4

2. Divide 89 by 4.

We proceed as follows:

Step I: Arrange the two given numbers as shown.

Step II: Divide the tens by 4.

Start by looking at the first number (tens place) in the dividend.

Find a number in the table of 4 less than or equal to 8

4 × 1 = 4,

4 × 2 = 8,

So, 2 is the required number.

4 × 2 = 8, write 2 in tens place of the quotient and 8 below 8.

Subtract the number you got by multiplying the divisor. from the number in the dividend.

Subtract 8 from 8 to get 0.

Step III: Divide the ones by 4.

Bring down the next digit (ones place), from the number in the dividend.

i.e., Bring down 9 ones and divide it by 4.

Repeat the same process again.

Find a number in the table of 4 less than or equal to 9

4 × 1 = 4,

4 × 2 = 8,

So, 2 is the required number.

4 × 2 = 8, write 2 in ones place of the quotient and 8 below 9.

Subtract 8 from 9 to get 1.

So, the quotient = 22 and remainder = 1.

3. Divide 66 by 5 and verify the result.

We proceed as follows:

Step I: Arrange the two given numbers.

Step II: Divide the tens by 5.

Start by looking at the first number (tens place) in the dividend.

Find a number in the table of 5 less than or equal to 6

5 × 1 = 5,

So, 1 is the required number.

5 × 1 = 5, write 1 in tens place of the quotient and 5 below 6.

Subtract the number you got by multiplying the divisor. from the number in the dividend.

Subtract 5 from 6 to get 1.

Step III: Bring down the next digit (ones place), from the number in the dividend.

i.e., Bring down 6 ones

The number is 16

Now and divide 16 by 5.

Repeat the same process again.

Find a number in the table of 5 less than or equal to 16

5 × 1 = 5,

5 × 2 = 10,

5 × 3 = 15,

So, 3 is the required number.

5 × 3 = 15, write 3 in ones place of the quotient and 15 below 16.

Subtract 15 from 16 to get 1.

So, the quotient = 13 and remainder = 1.

So, 66 is dividend,

5 is divisor,

3 is quotient,

1 is remainder.

Check: Dividend = Quotient × Divisor - Remainder

= 13 × 5 + 1

= 65 + 1

= 66 = Dividend

The same method is used when dividing larger numbers.

Worksheet on Division of Two-Digit by a One-Digit Numbers:

1. Find the quotient and the remainder, using long division method:

(i) 40 ÷ 4

(ii) 36 ÷ 6

(iii) 54 ÷ 6

(iv) 50 ÷ 9

(v) 63 ÷ 8

1. (i) Quotient: 10; Remainder: 0

(ii) Quotient: 6 ; Remainder: 0

(iii) Quotient: 9 ; Remainder: 0

(iv) Quotient: 5 ; Remainder: 5

(v) Quotient: 7 ; Remainder: 7

(i) 46 ÷ 7

(ii) 89 ÷ 9

(iii) 65 ÷ 8

(iv) 35 ÷ 4

(v) 52 ÷ 6

2. (i) Quotient: 6; Remainder: 4

(ii) Quotient: 9; Remainder: 8

(iii) Quotient: 8; Remainder: 1

(iv) Quotient: 8; Remainder: 3

(v) Quotient: 8; Remainder: 4

3. Divide the following:

(i) 89 ÷ 4

(ii) 99 ÷ 9

(iii) 92 ÷ 7

(iv) 82 ÷ 2

(v) 66 ÷ 6

(vi) 46 ÷ 7

(vii) 89 ÷ 9

(viii) 65 ÷ 8

(ix) 35 ÷ 4

(x) 52 ÷ 6

(xi) 46 ÷ 7

(xii) 89 ÷ 9

(xiii) 65 ÷ 8

(xiv) 35 ÷ 4

(xv) 52 ÷ 6

3. (i) Quotient: 22; Remainder: 1

(ii) Quotient: 11; Remainder: 0

(iii) Quotient: 13; Remainder: 1

(iv) Quotient: 41; Remainder: 0

(v) Quotient: 11; Remainder: 0

(vi) Quotient: 6; Remainder: 4

(vii) Quotient: 9; Remainder: 8

(viii) Quotient: 8; Remainder: 1

(ix) Quotient: 8; Remainder: 3

(x) Quotient: 8; Remainder: 4

(xi) Quotient: 6; Remainder: 4

(xii) Quotient: 9; Remainder: 8

(xiii) Quotient: 8; Remainder: 1

(xiv) Quotient: 8; Remainder: 3

(xv) Quotient: 8; Remainder: 4

(i) 89 ÷ 8

(ii) 45 ÷ 2

(iii) 92 ÷ 3

(iv) 64 ÷ 4

(v) 88 ÷ 5

(vi) 55 ÷ 7

(vii) 65 ÷ 8

(viii) 61 ÷ 6

(ix) 82 ÷ 6

(x) 94 ÷ 6

4. (i) Quotient: 11; Remainder: 1

(ii) Quotient: 22; Remainder: 1

(iii) Quotient: 30; Remainder: 2

(iv) Quotient: 16; Remainder: 0

(v) Quotient: 17; Remainder: 3

(vi) Quotient: 7; Remainder: 6

(vii) Quotient: 8; Remainder: 1

(viii) Quotient: 10; Remainder: 1

(ix) Quotient: 13; Remainder: 4

(x) Quotient: 15; Remainder: 4

## You might like these

• ### Terms Used in Division | Dividend | Divisor | Quotient | Remainder

The terms used in division are dividend, divisor, quotient and remainder. Division is repeated subtraction. For example: 24 ÷ 6 How many times would you subtract 6 from 24 to reach 0?

• ### Successor and Predecessor | Successor of a Whole Number | Predecessor

The number that comes just before a number is called the predecessor. So, the predecessor of a given number is 1 less than the given number. Successor of a given number is 1 more than the given number. For example, 9,99,99,999 is predecessor of 10,00,00,000 or we can also

• ### Worksheets on Comparison of Numbers | Find the Greatest Number

In worksheets on comparison of numbers students can practice the questions for fourth grade to compare numbers. This worksheet contains questions on numbers like to find the greatest number, arranging the numbers etc…. Find the greatest number:

• ### Number Worksheets | Practice Different Questions on Numbers | Answers

In number worksheets, students can practice different questions on numbers from printable free worksheets for grade 4 math on numbers. Write the number which is 1 more than 9? Write the number which

• ### Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits from left most place until we come across unequal digits. To learn

• ### Formation of Numbers | Smallest and Greatest Number| Number Formation

In formation of numbers we will learn the numbers having different numbers of digits. We know that: (i) Greatest number of one digit = 9,

• ### Formation of Numbers with the Given Digits |Making Numbers with Digits

In formation of numbers with the given digits we may say that a number is an arranged group of digits. Numbers may be formed with or without the repetition of digits.

• ### Formation of Greatest and Smallest Numbers | Arranging the Numbers

the greatest number is formed by arranging the given digits in descending order and the smallest number by arranging them in ascending order. The position of the digit at the extreme left of a number increases its place value. So the greatest digit should be placed at the

• ### Place Value | Place, Place Value and Face Value | Grouping the Digits

The place value of a digit in a number is the value it holds to be at the place in the number. We know about the place value and face value of a digit and we will learn about it in details. We know that the position of a digit in a number determines its corresponding value

• ### Expanded Form of a Number | Writing Numbers in Expanded Form | Values

We know that the number written as sum of the place-values of its digits is called the expanded form of a number. In expanded form of a number, the number is shown according to the place values of its digits. This is shown here: In 2385, the place values of the digits are

• ### Worksheet on Place Value | Place Value of a Digit in a Number | Math

Worksheet on place value for fourth grade math questions to practice the place value of a digit in a number. 1. Find the place value of 7 in the following numbers: (i) 7531 (ii) 5731 (iii) 5371

• ### Worksheet on Expanded form of a Number | Expanded Form of a Number

Worksheet on expanded form of a number for fourth grade math questions to practice the expanded form according to the place values of its digit. 1. Write the expanded form of the following numbers

• ### Examples on the Formation of Greatest and the Smallest Number |Example

In examples on the formation of greatest and the smallest number we know that the procedure of arranging the numbers in ascending and descending order.

• ### Worksheet on Formation of Numbers | Questions on Formation of Numbers

In worksheet on formation of numbers, four grade students can practice the questions on formation of numbers without the repetition of the given digits. This sheet can be practiced by students

• ### Rounding off Numbers | Nearest Multiple of 10 | Nearest Whole Number

Rounding off numbers are discussed here, where we need to round a number. (i) If we purchase anything and its cost is $12 and 23¢, the cost is rounded up to it’s nearest$ 12 and 23¢ is left. (ii) If we purchase another thing and its cost is \$15.78. The cost is rounded up

Related Concept

Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

## Recent Articles

1. ### Thousandths Place in Decimals | Decimal Place Value | Decimal Numbers

Jul 20, 24 03:45 PM

When we write a decimal number with three places, we are representing the thousandths place. Each part in the given figure represents one-thousandth of the whole. It is written as 1/1000. In the decim…

2. ### Hundredths Place in Decimals | Decimal Place Value | Decimal Number

Jul 20, 24 02:30 PM

When we write a decimal number with two places, we are representing the hundredths place. Let us take plane sheet which represents one whole. Now, we divide the sheet into 100 equal parts. Each part r…

3. ### Tenths Place in Decimals | Decimal Place Value | Decimal Numbers

Jul 20, 24 12:03 PM

The first place after the decimal point is tenths place which represents how many tenths are there in a number. Let us take a plane sheet which represents one whole. Now, divide the sheet into ten equ…

4. ### Representing Decimals on Number Line | Concept on Formation of Decimal

Jul 20, 24 10:38 AM

Representing decimals on number line shows the intervals between two integers which will help us to increase the basic concept on formation of decimal numbers.