How to do double digit long division step by step?

How to do long division step by step?

How to long division with remainder? How to divide a three digit number by a one digit number (e.g 416 ÷ 7)?

Dividing a three digit number by a one digit number (for example 416 ÷ 7) involves several steps.

• Place the divisor before the division bracket and place the dividend (416) under it.

     
7)416

• Examine the first digit of the dividend(4). It is smaller than 7 so can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.

   5 
7)416

• Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.

   5 
7)416
  35

• Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 6 from the 416 and place it to the right of the other 6.

   5 
7)416
  35
   66

• Divide 66 by 7 and place that answer above the division bracket to the right of the five.

   59
7)416
  35
   66

• Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 66. Subtract 63 from 66 to give an answer of 3. The number 3 is called the remainder and indicates that there were three left over.

   59 R 3
7)416
  35
   66
   63
    3

How to long division without remainder? How to divide a three digit number by a one digit number (e.g 413 ÷ 7)?

• Place the divisor before the division bracket and place the dividend (413) under it.

     
7)413

• Examine the first digit of the dividend(4). It is smaller than 7 so it can't be divided by 7 to produce a whole number. Next take the first two digits of the dividend (41) and determine how many 7's it contains. In this case 41 holds five sevens (5*7=35) but not six (6*7=42). Place the 5 above the division bracket.

   5 
7)413

• Multiply the 5 by 7 and place the result (35) below the 41 of the dividend.

   5 
7)413
  35

• Draw a line under the 35 and subtract it from 41 (41-35=6). Bring down the 3 from the 413 and place it to the right of the 6.

   5 
7)413
  35
   63

• Divide 63 by 7 and place that answer above the division bracket to the right of the five.

   59
7)413
  35
   63

• Multiply the 9 of the quotient by the divisor (7) to get 63 and place this below the 63 under the dividend. Subtract 63 from 63 to give an answer of 0. This indicates that there is nothing left over and 7 can be evenly divided into 413 to produce a quotient of 59.

   59
7)413
  35
   63
   63
    0

More books about long division for kids

How to do Long Division with Remainders?

When we are given a long division to do it will not always work out to a whole number. Sometimes there will be numbers left over. These are known as remainders. Taking an example similar to that on the Long Division page it becomes more clear: 435 ÷ 25. If you feel happy with the process on the Long Division

page you can skip the first bit.
 

	4 ÷ 25 = 0 remainder 4	The first number of the dividend is divided by the divisor.
		The whole number result is placed at the top. Any remainders are ignored at this point.
	25 × 0 = 0	The answer from the first operation is multiplied by the divisor. The result is placed under the number divided into.
	4 – 0 = 4	Now we take away the bottom number from the top number.
		Bring down the next number of the dividend.
	43 ÷ 25 = 1 remainder 18	Divide this number by the divisor.
		The whole number result is placed at the top. Any remainders are ignored at this point.
	25 × 1 = 25	The answer from the above operation is multiplied by the divisor. The result is placed under the last number divided into.
	43 – 25 = 18	Now we take away the bottom number from the top number.
		Bring down the next number of the dividend.
	185 ÷ 25 = 7 remainder 10	Divide this number by the divisor.
		The whole number result is placed at the top. Any remainders are ignored at this point.
	25 × 7 = 175	The answer from the above operation is multiplied by the divisor. The result is placed under the number divided into.
	185 – 175 = 10	Now we take away the bottom number from the top number.
		There is still 10 left over but no more numbers to bring down.
		With a long division with remainders the answer is expressed as 17 remainder 10 as shown in the diagram

How to explain long division to children?

Solution for 531219 ÷ 579 - with remainder

Step 1 Long division works from left to right. Since 579 will not go into 5, a grey 0 has been placed over the 5 and we combine the first two digits to make 53. In this case, 53 is still too small. A further 0 is added above 3 and a third digit is added to make 531. Note the other digits in the original number have been turned grey to emphasise this. The closest we can get to 531 without exceeding it is 5211 which is 9 × 579. These values have been added to the division, highlighted in red.

0 0 0 9  rem 276 579 5 3 1 2 1 9 5 2 1 1

579 × table 1 × 579 = 579 2 × 579 = 1158 3 × 579 = 1737 4 × 579 = 2316 5 × 579 = 2895 6 × 579 = 3474 7 × 579 = 4053 8 × 579 = 4632 9 × 579 = 5211

Step 2 Next, work out the remainder by subtracting 5211 from 5312. This gives us 101. Bring down the 1 to make a new target of 1011.	9  rem 276 579 5 3 1 2 1 9 5 2 1 1 1 0 1 1
579 × table 1 × 579 = 579 2 × 579 = 1158 3 × 579 = 1737 4 × 579 = 2316 5 × 579 = 2895 6 × 579 = 3474 7 × 579 = 4053 8 × 579 = 4632 9 × 579 = 5211

Step 3 With a target of 1011, the closest we can get is 579 by multiplying 579 by 1. Write the 579 below the 1011 as shown.	9 1  rem 276 579 5 3 1 2 1 9 5 2 1 1 1 0 1 1 5 7 9
579 × table 1 × 579 = 579 2 × 579 = 1158 3 × 579 = 1737 4 × 579 = 2316 5 × 579 = 2895 6 × 579 = 3474 7 × 579 = 4053 8 × 579 = 4632 9 × 579 = 5211

Step 4 Next, work out the remainder by subtracting 579 from 1011. This gives us 432. Bring down the 9 to make a new target of 4329.	9 1  rem 276 579 5 3 1 2 1 9 5 2 1 1 1 0 1 1 5 7 9 4 3 2 9
579 × table 1 × 579 = 579 2 × 579 = 1158 3 × 579 = 1737 4 × 579 = 2316 5 × 579 = 2895 6 × 579 = 3474 7 × 579 = 4053 8 × 579 = 4632 9 × 579 = 5211

Step 5 With a target of 4329, the closest we can get is 4053 by multiplying 579 by 7. Write the 4053 below the 4329 as shown.	9 1 7  rem 276 579 5 3 1 2 1 9 5 2 1 1 1 0 1 1 5 7 9 4 3 2 9 4 0 5 3
579 × table 1 × 579 = 579 2 × 579 = 1158 3 × 579 = 1737 4 × 579 = 2316 5 × 579 = 2895 6 × 579 = 3474 7 × 579 = 4053 8 × 579 = 4632 9 × 579 = 5211

Step 6 Finally, subtract 4053 from 4329 giving 276. Since there are no other digits to bring down, 276 is therefore also the remainder for the whole sum. So 531219 ÷ 579 = 917 rem 276	9 1 7  rem 276 579 5 3 1 2 1 9 5 2 1 1 1 0 1 1 5 7 9 4 3 2 9 4 0 5 3 2 7 6
579 × table 1 × 579 = 579 2 × 579 = 1158 3 × 579 = 1737 4 × 579 = 2316 5 × 579 = 2895 6 × 579 = 3474 7 × 579 = 4053 8 × 579 = 4632 9 × 579 = 5211

External Link

• How to do long division step by step? (video)
• How to do long division for kids

Read more

• How to do long division step by step?
• How to do long division with remainders?
• How do you do long division with decimals?
• Understanding long division as repeated subtraction
• Teaching Long Division
• Double Division with 3 Digit Divisors
• How to do long division with two digit quotients?
• Long Division of Polynomials Step by Step
• How to do long division with 2 digit divisor?
• How to do long division with two digit quotients?

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The Best Science Books For Teaching Kids

love2learn - Great science books for kids

It wasn't easy to decide on the best science books for kids, as there are many very good science books out there. The books that I decided on do not just inform, they also entertain and inspire.


The Everything Kids' Science Experiments Book: Boil Ice, Float Water, Measure Gravity-Challenge the World Around You! (Everything Kids Series)
Price: $4.40
List Price: $8.95

The Everything Kids' Science Experiments Book

This is a book of science experiments, for kids. All of which you can do at home. For most of the experiments you probably already have all the required items.
The book is organized around ideas like 'Acids'. In the 'Acids' category there will be a number of acid related experiments of varying difficulty. Once you have worked through the experiments in a category it gives you a fairly good knowledge of the category subject.
The experiment which I found to be the easiest, while at the same time very impressive, is the one where you dissolve an eggshell while keeping the egg inside intact.

The Periodic Table: Elements with Style! Price: $3.82 List Price: $8.99

Basher Science: Periodic Table

Periodic Table is a good introduction to chemistry for upper elementary to middle school kids. It is about 100 pages long and each element has it own page.
Each element has a description written as a narrative. Strontium says: " I'm Scottish, named after the town of Strontian where I was discovered. You may see me as a shy, run-of-the-mill, silver-colored metal, but I've got a few surprises..." The idea being that children associate an element's characteristics with it's name and have some fun while learning.

The Way Science Works Price: $11.85 List Price: $24.99

The Way Science Works

The way science works is a introduction to the advances man has made in understanding the natural world and to the deductive process of scientific discovery. It has 60 experiments which kids can try at home. The book does a great job at explaining the working of complex concepts like gravity, the atom, optical illusions and gravity.
I would recommend the book for all kids aged 10 and older.

The Art of Construction: Projects and Principles for Beginning Engineers & Architects (Ziggurat Book) Price: $4.98 List Price: $16.95

The Art of Construction: Projects and Principles for Beginning Engineers

This is a great book for kids ages 9 and up who have an interest in civil engineering or architecture. In this book they can find out how buildings are designed and the methods which go into constructing them.
The book isn't just about buildings, they look also look at different types of bridges, tunnels and other structures.




The Magic School Bus Inside the Human Body

Price: $2.00
List Price: $5.99










The Magic School Bus Lost In The Solar System

Price: $2.99
List Price: $6.99










The Magic School Bus Explores the Senses
Price: $2.25
List Price: $6.99











The Magic School Bus in the Time of the Dinosaurs
Price: $2.25













The Magic School Bus Inside the Earth (Magic School Bus)
Price: $1.38
List Price: $6.99

Magic School Bus

The Magic School Bus books are some of the best science books for young kids. I would recommend them for ages 4 to 8.
Inside the human body
In this book the kids go on the bus and then the bus shrinks to the size of a chip. It then enters someone's body through the mouth and works it's way through the digestive system.
In the time of dinosaurs
In this one the kids go off to a paleontologist dig site. From there they time travel back to the age of the dinosaurs. Of course a book like this can't cover dinosaurs in detail. It does however do an excellent job of wetting a child's appetite for science.
The authors really are good at creating adventurous and educational books. They make effective use of comic book style drawings and text, to keep the kids interested. Children learn quite a bit without even realizing it.



The Grapes Of Math
Price: $4.91
List Price: $16.99

The Grapes Of Math

The Grapes Of Math is a series of counting riddles written by Greg Tang. The book challenges kids to find faster ways to solve math problems. As you finish each problem the book leads you into the next problem.

The Grapes Of Math is written in verse and great at teaching children grouping, pattern recognition and multi-step thinking. The rhymes, hints and lively illustrations provides great mental stimulation.

In the pattern recognition riddles you have to 'see' rectangles and squares within more complex shapes. Patterns being repeated leads into multiplication riddles.


From Caterpillar to Butterfly (Let's-Read-and-Find-Out Science, Stage 1)

Price: $2.41
List Price: $5.99

From Caterpillar to Butterfly

This book is part of the let's read and find out series. The books shares the magic of how a caterpillar changes into a butterfly.It's perfect for spring time!
The tone of From Caterpillar to Butterfly is very kid-friendly. It's one of those books that teach kids important facts without them realizing they are learning.
The book is aimed at kids ages 4 to 8.


Muscles: Our Muscular System

Price: $3.73
List Price: $6.99

Muscles: Our Muscular System

This is a great book for kids with an interest in Biology. It has great close up photos of things like muscle cells.
In the book Seymour Simon addresses the anatomy and function of muscles and bones. He describes bones as being like 'the frame of a building'. The book also discusses how the muscles of your body, protect organs and how blood cells are manufactured.
Muscles is on of the books in the Seymour Simon body series.
The book is aimed at kids but teens and adults will also enjoy this interesting book and it's great pictures.



The Complete Book of Science, Grades 5-6

Price: $8.97
List Price: $14.95

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How to do Long division tricks for kids

"In arithmetic, long division is a standard procedure suitable for dividing simple or complex multidigit numbers. It breaks down a division problem into a series of easier steps. As in all division problems, one number, called the dividend, is divided by another, called the divisor, producing a result called the quotient. It enables computations involving arbitrarily large numbers to be performed by following a series of simple steps"

Source: Wikipedia.org 

 

Specific Skills: Division Facts Tips & Tricks 

DIVISION FACTS TIPS & TRICKS GR 3-4 

Solution for 742 ÷ 31 - with remainder

Step 1 Long division works from left to right. Since 31 will not go into 7, a grey 0 has been placed over the 7 and we combine the first two digits to make 74. Note the other digits in the original number have been turned grey to emphasise this. The closest we can get to 74 without exceeding it is 62 which is 2 × 31. These values have been added to the division, highlighted in red.	0 2  rem 29 31 7 4 2 6 2
31 × table 1 × 31 = 31 2 × 31 = 62 3 × 31 = 93 4 × 31 = 124 5 × 31 = 155 6 × 31 = 186 7 × 31 = 217 8 × 31 = 248 9 × 31 = 279

Step 2 Next, work out the remainder by subtracting 62 from 74. This gives us 12. Bring down the 2 to make a new target of 122.	2  rem 29 31 7 4 2 6 2 1 2 2
31 × table 1 × 31 = 31 2 × 31 = 62 3 × 31 = 93 4 × 31 = 124 5 × 31 = 155 6 × 31 = 186 7 × 31 = 217 8 × 31 = 248 9 × 31 = 279

Step 3 With a target of 122, the closest we can get is 93 by multiplying 31 by 3. Write the 93 below the 122 as shown.	2 3  rem 29 31 7 4 2 6 2 1 2 2 9 3
31 × table 1 × 31 = 31 2 × 31 = 62 3 × 31 = 93 4 × 31 = 124 5 × 31 = 155 6 × 31 = 186 7 × 31 = 217 8 × 31 = 248 9 × 31 = 279

Step 4 Finally, subtract 93 from 122 giving 29. Since there are no other digits to bring down, 29 is therefore also the remainder for the whole sum. So 742 ÷ 31 = 23 rem 29	2 3  rem 29 31 7 4 2 6 2 1 2 2 9 3 2 9
31 × table 1 × 31 = 31 2 × 31 = 62 3 × 31 = 93 4 × 31 = 124 5 × 31 = 155 6 × 31 = 186 7 × 31 = 217 8 × 31 = 248 9 × 31 = 279

Long division traditional method

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