How to do double digit long division step by step?

How to do double digit long division step by step?

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

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• 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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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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