Dividing 3-Digit by 1-Digit Number

Dividing 3-Digit by 1-Digit Numbers are discussed here step-by-step.

How to divide 3-digit numbers by single-digit numbers? 

Let us follow the examples to learn to divide 3-digit number by one-digit number. 


I: Dividing 3-digit Number by 1-Digit Number without Remainder:

1. Divide 248 by 2 and verify the result.

Solution: 

We proceed as follows:

Step I: Arrange the two given numbers as shown.

Divide 3-Digit by 1-Digit Number


Step II: Divide 2 hundreds by 2.

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

Find a number in the table of 2 less than or equal to 2

We know 2 × 1 = 2.

So, 1 is the required number.

2 × 1 = 2, write 1 in hundreds place of the quotient and 2 below 2.

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

Subtract 2 from 2

2 - 2 = 0

Divide 3-Digit Number by 1-Digit Number


Step III: Divide 4 tens by 2.

Bring down the next digit, from the number in the dividend.

We have 4 there; now find a number in the table of 2 that divides it.

2 × 1 = 2

2 × 2 = 4

So, 2 is the required number.

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

Dividing 3-Digit Number by 1-Digit Number

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

Subtract 4 from 4

4 - 4 = 0


Step IV: Divide 8 ones by 2.

Bring down 8
Now see where does 8 come in the table of 2.

2 × 1 = 2

2 × 2 = 4

2 × 3 = 6

2 × 4 = 8

White 4 in the quotient and 8 under 8 and subtract.

8 - 8 = 0

Dividing 3-Digit by 1-Digit Number

Therefore, 248 ÷ 2 = 124



II: Dividing a 3-digit Number by a 1-Digit Number with Remainder: (Long Division)


Let us follow the examples to learn to divide 3-digit numbers by one-digit number with remainder.

1. Divide the following and verify the result: Long Division

625 ÷ 4

Solution: 

We proceed as follows:

Step I: Arrange the two given numbers as shown.

Divide 3-Digit by 1-Digit Number


Step II: Divide 6 hundreds by 4.

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

Find a number in the table of 4 less than or equal to 6

We know 4 × 1 = 4.

So, 1 is the required number.

4 × 1 = 4, write 1 in hundreds place of the quotient and 4 below 6.

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

Subtract 4 from 6

6 - 4 = 2

Divide 3-Digit by 1-Digit Number


Step III: 

Bring down the next digit (tens places), from the number in the dividend.

We have 22 there; now find a number in the table of 4 that divides it.

4 × 1 = 2

4 × 2 = 8

4 × 3 = 12

4 × 4 = 16

4 × 5 = 20

So, 5 is the required number.

4 × 5 = 20, write 5 in tens place of the quotient and 20 below 22.


Divide 3-Digit by 1-Digit Number

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

Subtract 20 from 22

22 - 20 = 2


Step IV: Bring down 5

4 × 1 = 2

4 × 2 = 8

4 × 3 = 12

4 × 4 = 16

4 × 5 = 20

4 × 6 = 24

So, 6 is the required number.

4 × 6 = 24, write 6 in ones place of the quotient and 24 below 25.

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

Subtract 24 from 25

25 - 24 = 1.

Dividing 3-Digit by 1-Digit Number

Therefore, the quotient = 156 and remainder = 1.


Check: Dividend = Quotient × Divisor - Remainder

                         = 156 × 4 + 1

                         = 624 + 1

                         = 625 = Dividend


3. 645 ÷ 6

Division of Two-Digit by a One-Digit


Check:

107 × 6 = 642

642 + 3 = 645

Here we know, 645 ÷ 6 = 107 remainder is 3

645 is dividend

6 is divisor

107 is quotient

3 is remainder


The same method is used when dividing larger numbers.



Division Activity

Objective: Dividing a 3-digit number by 9 using short cut method.

Materials Required: Pen and paper only.

Procedure/Demonstration: We can divide any 3-digit number by 9 quickly.

Type 1: When the sum of the digits is less than 9.

In this case, the quotient is obtained by adding the number formed by hundreds and tens digits to the hundreds digit. The sum of the three digits gives the remainder.

213 ÷ 9, gives quotient = 21 + 2 = 23 and remainder = 2 + 1 + 3 = 6


Type 2: When the sum of the digits is greater than or equal of 9 but less than 18.

Here, we first add the number formed by hundreds and tens digits to the hundreds digit. 1 more than this sum is the quotient. To get the remainder, subtract 9 from the sum of the digits.


537 ÷ 9 gives quotient = 53 + 5 + 1 = 59 and

remainder = (9 + 8 + 7) - 9 = 15 - 9 = 6


Worksheet on Dividing 3-Digit by 1-Digit Number:

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

(i) 639 ÷ 3

(ii) 484 ÷ 2

(iii) 550 ÷ 5

(iv) 284 ÷ 4

(v) 504 ÷ 3

(vi) 840 ÷ 7

(vii) 248 ÷ 4

(viii) 655 ÷ 5

(ix) 616 ÷ 7

(x) 348 ÷ 4


Answer:

1. (i) Quotient: 213; Remainder: 0

(ii) Quotient: 242; Remainder: 0

(iii) Quotient: 110; Remainder: 0

(iv) Quotient: 71; Remainder: 0

(v) Quotient: 168; Remainder: 0

(vi) Quotient: 120; Remainder: 0

(vii) Quotient: 62; Remainder: 0

(viii) Quotient: 131; Remainder: 0

(ix) Quotient: 88; Remainder: 0

(x) Quotient: 87; Remainder: 0


2. Find the quotient and the remainder:

(i) 320 ÷ 6

(ii) 392 ÷ 6

(iii) 249 ÷ 7

(iv) 364 ÷ 8

(v) 193 ÷ 7

(vi) 492 ÷ 5

(vii) 524 ÷ 7

(viii) 419 ÷ 9

(ix) 270 ÷ 8

(x) 375 ÷ 7


Answer:

2. (i) Quotient: 53; Remainder: 2

(ii) Quotient: 65; Remainder: 2

(iii) Quotient: 35; Remainder: 4

(iv) Quotient: 45; Remainder: 4

(v) Quotient: 27; Remainder: 3

(vi) Quotient: 98; Remainder: 2

(vii) Quotient: 74; Remainder: 6

(viii) Quotient: 46; Remainder: 5

(ix) Quotient: 33; Remainder: 6

(x) Quotient: 53; Remainder: 4

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 Dividing 3-Digit by 1-Digit Number 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. Place Value | Place, Place Value and Face Value | Grouping the Digits

    Oct 04, 24 09:47 AM

    Place Value of 3-Digit Numbers
    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 th…

    Read More

  2. Worksheet on Subtraction | Practice the Questions | Free Answers

    Oct 04, 24 01:28 AM

    In worksheet on subtraction, all grade students can practice the questions on subtracting numbers with more than two digits. This exercise sheet on subtraction can be practiced by the students

    Read More

  3. Subtraction Word Problems - 2-Digit Numbers | Subtraction Problems

    Oct 03, 24 03:22 PM

    Understand the concept on subtraction word problems - 2-digit numbers for the second grade. Read the question carefully to subtract the two-digit numbers to find the differences and follow the

    Read More

  4. Worksheet on Checking Subtraction Using Addition | Free Answers | Math

    Oct 03, 24 02:22 PM

    Checking Subtraction using Addition
    Here we can use addition to check the answer for the subtraction. Subtract ans check your answer. Find the difference and check your answer using addition.

    Read More

  5. Check for Subtraction and Addition | Checking Subtraction | Problems

    Oct 03, 24 01:13 PM

    Checking Subtraction with Addition
    We will learn to check for subtraction and addition answers after solving. Difference of two numbers is correct when the sum of the subtrahend number and the difference is equal to the minuend.

    Read More