# Long Division

As we know that the division is to distribute a given value or quantity into groups having equal values. In long division, values at the individual place (Thousands, Hundreds, Tens, Ones) are dividend one at a time starting with the highest place.

Division by One-Digit Divisor

1. Divide 27 by 9

Solution:

Let us divide.

 Step I: Write 27 inside the bracket and 9 on the left side of the bracket.Step II: Start division from left to right, that is, divide 2 by 9. Since, we cannot divide 2 by 9 so, we will divide 27 by 9.Step III: Recall the table of 9.9 × 3 = 27Now, write 3 in the quotient and subtract 27 from 27. The result is 0.Thus, 27 ÷ 9 = 3

2. Divide 92 by 4

Solution:

Let us divide.

 Step I: Write 92 inside the bracket and 4 on the left side of the bracket.Step II: Start division from left to right, that is, divide 9 tens by 4. 4 × 2 = 84 × 3 = 1212 tens is bigger than 9 tens, so we take 4 × 2 = 8 tens.Step III: Write 2 in the quotient.Step IV: Subtract 8 from 9 and get 1 as remainder.Step V: Bring down 2 from ones place and write it to the right of 1. 12 is the new dividend.Step VI: Write 3 in the quotient and subtract 12 from 12. The result is 0. Thus, 92÷4 = 23

3. Find the quotient and remainder of 649 ÷ 9.

Solution:

 Step I: We start dividing the hundreds first. Since 6 hundreds cannot be divided into 9 groups of hundreds, the quotient at hundreds column is zero.Step II: 6 Hundreds are now changed into 60 tens and added to 4 tens, making 64 tens.Step III: 64 tens give 9 groups of 7 tens each and 1 ten is left over.Step IV: 1 ten give 10 ones, 10 ones + 9 ones = 19 onesStep V: 19 ones can be put into 2 groups of 9 and 1 one is left over. q = 72; r = 1

Division by Two-Digit Divisors

4. Divide 2698 by 21.

Solution:

Recall the process of long division.

 Step I: 2 thousands cannot be divided into 21 groups of thousand. So, 0 is placed as quotient in the thousands column.Step II: 2 thousands give 20 hundreds.20 hundreds + 6 hundreds give 26 hundreds. 26 hundreds make 1 group of 21 hundreds. 5 hundreds are left.Step III: 5 hundreds give 50 tens. q = 128; r = 10

So, 50 tens + 9 tens = 59 tens

59 tens are to be divided into 21 groups of tens

59 tens ÷ 21 makes 2 groups with 17 tens left.

2 is placed in the quotient in the tens column.

Step IV: 17 tens = 170 ones

170 ones + 8 ones = 178 ones

178 ones ÷ 21 makes 8 groups with 10 ones left.

Thus, in division of 2,698 by 21, we get 128 as quotient and 10 as remainder.

Word Problems on Long Division:

To solve any word problem, we need to read each word carefully and select numbers carefully from the question to solve it.

5. If 60 cookies to be put in 5 packets, how many cookies will be packed in one packet?

 Solution:Number of cookies = 60 cookiesEqually distributed in 5 packetsNumber of cookies in one packet = 60 ÷ 5

Thus, 12 cookies will be packed in one packet.

Questions and Answers on Long Division:

I. Divide and find the quotient:

(i) 85 ÷ 5 =

(ii) 54 ÷ 3 =

(iii) 63 ÷ 7 =

(iv) 60 ÷ 3 =

(v) 42 ÷6 =

(vi) 32 ÷ 8 =

(vii) 88 ÷ 8 =

(viii) 69 ÷ 3 =

(ix) 48 ÷ 3 =

(x) 42 ÷ 6 =

(xi) 68 ÷ 4 =

(xii) 96 ÷ 6 =

I. (i) 17

(ii) 18

(iii) 9

(iv) 20

(v) 7

(vi) 4

(vii) 11

(viii) 23

(ix) 16

(x) 7

(xi) 17

(xii) 19

II. Solve the given word problems on long division.

1. Shelly has 75 pencils. She shares them between her 5 friends. How many pencils will each of her friend get?

2. In class III, there are total 70 children. If there are 5 sections in class III, how many children are there in each section?

3. There are 68 birds in a zoo in 4 cages. How many birds are there in each cage?

4. Jack, the clown has 99 balloons which he needs to share between 9 children at the fair. How many balloons does each child get?

5. Nancy has 96 pieces of candy. She has 8 bags. She wants to put the same amount of candies in each bag. How many will she put in each bag?

6. Mike organised 24 chairs in 4 rows for a party. How many chairs are there in each row?

7. You have 60 gum balls that you need to share equally in five containers. How many gum balls will be in each container?

8. There are 96 books on the shelf. If the books are to be shared equally amongst 4 table groups in the class, how many books will be there on each table?

II. 1. Shelly has 75 pencils. She shares them between her 5 friends. How many pencils will each of her friend get?

2. In class III, there are total 70 children. If there are 5 sections in class III, how many children are there in each section?

3. There are 68 birds in a zoo in 4 cages. How many birds are there in each cage?

4. Jack, the clown has 99 balloons which he needs to share between 9 children at the fair. How many balloons does each child get?

5. Nancy has 96 pieces of candy. She has 8 bags. She wants to put the same amount of candies in each bag. How many will she put in each bag?

6. Mike organised 24 chairs in 4 rows for a party. How many chairs are there in each row?

7. You have 60 gum balls that you need to share equally in five containers. How many gum balls will be in each container?

8. There are 96 books on the shelf. If the books are to be shared equally amongst 4 table groups in the class, how many books will be there on each table?

## You might like these

3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.

• ### 3rd Grade Division Worksheet | Division Facts | Multiplication Facts

In 3rd Grade Multiplication Worksheet we will solve how to divide using multiplication tables, relationship between multiplication and division, problems on properties of division, long division method, word problems on long division.

In 3rd Grade Multiplication Worksheet we will solve how to multiply 2-digit number by 1-digit number without regrouping, multiply 2-digit number by 1-digit number with regrouping, multiply 3-digit number by 1-digit number without regrouping, multiply 3-digit number

• ### Division using Multiplication Tables | Division Tables |Multiplication

Let us learn division using tables. 1. Divide 35 ÷ 7 Solution: 1 × 7 = 7; 2 × 7 = 14; 3 × 7 = 21; 4 × 7 = 28; 5 × 7 = 35 Thus, there are 5 sevens in 35. So, 35 ÷ 7 = 5.

• ### Relationship between Multiplication and Division |Inverse Relationship

We know that multiplication is repeated addition and division is repeated subtraction. This means that multiplication and division are inverse operation. Let us understand this with the following example.

• ### Division Sharing and Grouping | Facts about Division | Basic Division

We will learn division sharing and grouping. Share eight strawberries between four children. Let us distribute strawberries equally to all the four children one by one.

• ### Worksheet on Facts about Division | Division with Small Numbers

Practice the worksheet on facts about division. We know, dividend is always equal to the product of the divisor and the quotient added to the remainder. This will help us to solve the given questions. 1. Fill in the blanks: (i) Division is __ subtraction.

• ### Facts about Division | Basic Division Facts | Learn Long Division

We have already learned division by repeated subtraction, equal sharing/distribution and by short division method. Now, we will read some facts about division to learn long division. 1. If the dividend is ‘zero’ then any number as a divisor will give the quotient as ‘zero’.

• ### Multiplication by 10, 20, 30, 40, 50, 60, 70, 80, 90 |Find the Product

To multiply a number by 10, we simply put a zero to the right of the number. To multiply a number by 20, 30, 40, ……… 90, we multiply the given number by 2, 3, 4, ….. 9 and put one zero to the right of product.

• ### Multiplying 3-Digit Number by 1-Digit Number | Three-Digit Multiplicat

Here we will learn multiplying 3-digit number by 1-digit number. In two different ways we will learn to multiply a two-digit number by a one-digit number. 1. Multiply 201 by 3 Step I: Arrange the numbers vertically. Step II: Multiply the digit at the ones place by 3.

• ### 3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans

In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, properties of subtraction, estimating the difference and word problems on 3-digit

• ### Worksheet on Facts about Multiplication | Multiplication Sum | Answers

Practice the worksheet on facts about multiplication. We know in multiplication, the number being multiplied is called the multiplicand and the number by which it is being multiplied is called the multiplier. This will help us to solve the given questions.

• ### Worksheet on Subtraction Word Problems | Subtraction Word Problems

The activity provided in the third grade math worksheet on subtraction word problems is very important for the kids. Students need to read the questions carefully and then translate the information

• ### Subtraction of 3-Digit Numbers with Regrouping | Step-by-Step Explanat

Subtraction of 3-digit numbers with regrouping are explained here with examples. As you borrow from the tens column, you can borrow from the hundreds column also. 1 ten = 10 ones 1 hundred = 10 tens

• ### Combination of Addition and Subtraction | Mixed Addition & Subtraction

We will discuss here about the combination of addition and subtraction. The rules which can be used to solve the sums involving addition (+) and subtraction (-) together are: I: First add