Division of Four-Digit by a One-Digit Numbers

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

How to divide 4-digit numbers by single-digit numbers? 

Let us follow the examples to learn to divide 4-digit numbers by one-digit numbers. 

Divide and find the quotient:

(i) 3408 ÷ 3

(ii) 6585 ÷ 5

(iii) 4107 ÷ 6

(iv) 7608 ÷ 8


Solution: 

The same procedure will be adopted to divide a 4-digit number by a single digit number.

(i) 3408 ÷ 3

Divide and Find the Quotient

3 x 1Th = 3Th, 1Th is the quotient

3 x 1H = 3H, 3 x 2H = 6H, 1H is the quotient

3 × 3T = 9T, 3 x 4T = 12T, 3T is the quotient

3 × 6 = 18, 6 is the quotient

Verification

3 × 1136 + 0 = 3408 + 0 = 3408

So, result is verified.

Quotient = 1136


or,

Division of Four-Digit by a One-Digit Numbers

Instead of 3000, we put 3

Instead of 300, we put 3

Instead of 90 we put 9








(ii) 6585 ÷ 5

Divide and Find the Quotient

(i) 5 × 1Th = 5Th. 1Th is quotient

    6Th - 5Th = 1Th

(ii) 5 × 3H = 15H, 3 H is quotient

(iii) 5 × 1T = 5T, 1T is quotient

(iv) 8T - 5T = 3T, 5 is carried down

5 × 7 = 35, 7 will be quotient

Quotient = 1317

Verification = 5 × 1317 + 0 = 6585 + 0 = 6585.

Result is verified.


(iii) 4107 ÷ 6

Divide Four-Digit by a One-Digit

Quotient = 684 Remainder = 3

(i) 4 < 6, So, 41 is taken for division

6 × 6 = 36, 6 × 7 = 42,

6H will be quotient.

(ii) 50 is taken for division

6 × 8 = 48, 6 x 9 = 54,

8T is the quotient.

(iii) 27 is taken for division

6 × 4 = 24, 6 × 5 = 30

Therefore, 4 is the quotient.

Verification = 6 × 684 + 3 = 4104 + 3 = 4107.

So, result is verified.


(iv) 7608 ÷ 8

Division of Four-Digit Numbers

Quotient = 951 Remainder = 0

(i) 7 < 8, So 76 is taken for division

8 × 9 = 72, 8 × 10 = 80

9H is quotient.

(ii) 76 - 72 = 4,

40 T is taken for division, 8 × 5 = 40

5T is quotient.

(iii) 08 is taken for division

8 × 1 = 8, 8 × 2 = 16,

1 is quotient.

Verification = 8 × 951 + 0 = 7608 + 0 = 7608.

Result is verified.


(v) 9575 ÷ 5

Check: quotient × divisor = dividend

Check:

quotient × divisor = dividend

1915 × 5 = 9575








(vi) 74768 ÷ 7

Division of Four-Digit by a One-Digit

Check:

quotient × divisor + remainder = dividend

1681 × 7 + 1 = 74768








4-Digit by 1-Digit Long Division Video

Subscribe to our ▶️YouTube channel🔴 for the latest videos, updates, and tips.

Worksheet on Division of 4-Digit by a 1-Digit Numbers:

1. Divide and find the quotient.

(i) 3,561 ÷ 2

(ii) 4,123 ÷ 3

(iii) 8,303 ÷ 5

(iv) 1,954 ÷ 7

(v) 7,050 ÷ 8

(vi) 8,754 ÷ 9

(vii) 4,327 ÷ 5

(viii) 3,510 ÷ 4

(ix) 4,160 ÷ 8

(x) 8,004 ÷ 6

(xi) 4,716 ÷ 9

(xii) 5,520 ÷ 4


Answer:

1. (i) Quotient: 1780 ; Remainder: 1

(ii) Quotient: 1374 ; Remainder: 1

(iii) Quotient: 1660 ; Remainder: 3

(iv) Quotient: 279 ; Remainder: 1

(v) Quotient: 881 ; Remainder: 2

(vi) Quotient: 972 ; Remainder: 6

(vii) Quotient: 865 ; Remainder: 2

(viii) Quotient: 877 ; Remainder: 2

(ix) Quotient: 520 ; Remainder: 0

(x) Quotient: 1334 ; Remainder: 0

(xi) Quotient: 520 ; Remainder: 0

(xii) Quotient: 1380 ; Remainder: 0


2. Find the quotient and the remainder. Also, check your answer.

(i) 3,504 ÷ 2

(ii) 1,352 ÷ 8 

(iii) 2,316 ÷ 6

(iv) 7,626 ÷ 6

(v) 2,742 ÷ 6

(vi) 8,676 ÷ 4

(vii) 5,448 ÷ 8

(viii) 5,600 ÷ 7


Answer:

2. (i) Quotient: 1752 ; Remainder: 0

(ii) Quotient: 169 ; Remainder: 0

(iii) Quotient: 386 ; Remainder: 0

(iv) Quotient: 1271 ; Remainder: 0

(v) Quotient: 457 ; Remainder: 0

(vi) Quotient: 2169 ; Remainder: 0

(vii) Quotient: 681 ; Remainder: 0

(viii) Quotient: 800 ; Remainder: 0

You might like these

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

From Division of Four-Digit by a One-Digit Numbers to HOME PAGE




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.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Formation of Square and Rectangle | Construction of Square & Rectangle

    Jul 15, 25 02:46 AM

    Construction of a Square
    In formation of square and rectangle we will learn how to construct square and rectangle. Construction of a Square: We follow the method given below. Step I: We draw a line segment AB of the required…

    Read More

  2. 5th Grade Quadrilaterals | Square | Rectangle | Parallelogram |Rhombus

    Jul 15, 25 02:01 AM

    Square
    Quadrilaterals are known as four sided polygon.What is a quadrilateral? A closed figure made of our line segments is called a quadrilateral. For example:

    Read More

  3. Formation of Numbers | Smallest and Greatest Number| Number Formation

    Jul 14, 25 01:53 AM

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

    Read More

  4. 5th Grade Geometry Practice Test | Angle | Triangle | Circle |Free Ans

    Jul 14, 25 01:53 AM

    Name the Angles
    In 5th grade geometry practice test you will get different types of practice questions on lines, types of angle, triangles, properties of triangles, classification of triangles, construction of triang…

    Read More

  5. 5th Grade Circle Worksheet | Free Worksheet with Answer |Practice Math

    Jul 11, 25 02:14 PM

    Radii of the circRadii, Chords, Diameters, Semi-circles
    In 5th Grade Circle Worksheet you will get different types of questions on parts of a circle, relation between radius and diameter, interior of a circle, exterior of a circle and construction of circl…

    Read More