Teach the child the division of a simple column. It is necessary to explain the algorithm for this action and to consolidate the material that has been traversed.

• According to the school curriculum, the division into children begins to explain in the third grade. Students who grasp everything "on the fly" quickly understand this topic
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• But, if the child is sick and missed the lessons of mathematics, or he did not understand the topic, then the parents should help the baby explain the material. It is necessary to get as much information as possible
• Moms and dads during the educational process of the child should be patient, showing tact in relation to his child. In no case can you scream at the child if something does not work out for him, after all, so you can beat off all the hunt for him to study

How to explain the division of the child in a column?

How to explain the child's division by a bar?

Important: For a child to understand the division of numbers, he must have a thorough knowledge of the multiplication table. If the kid does not know multiplication, he will not understand the division.

You can use cribs during home supplementary classes, but the child must learn the multiplication table before starting the topic "Divisions".

So, how to explain to the child division by column :

• Try to explain on small figures first. Take counting sticks, for example, 8 pieces.
• Ask the child how many pairs in this row of sticks? Correct - 4. So, if you divide 8 by 2, you get 4, and if you divide 8 by 4 you get 2
• Let the child share another number, for example, more complex: 24: 4
• When the kid has mastered the division of primes,to the division of three-digit numbers into single-valued ones

Division by single-digit number

Division by single-digit number

Division is always given to children a little more complicated than multiplication. But diligent additional lessons at home will help the child understand the algorithm of this action and keep up with peers at school.

Begin with a simple one - divide by a single digit:

Important: Calculate in your mind to ensure that the division has no residue, otherwise the child may get confused.

For example, 256 divided by 4:

• Draw a vertical line on the sheet of paper and divide it on the right side in half. On the left write the first digit, and on the right above the line the second
• Ask the kid how many quadruples are placed in the deuce - not at all
• Then take 25. For clarity, separate this number from the top corner. Again, ask the child how many fourfold in twenty-five? That's right - six. Write the number "6" in the lower right corner below the line. The child should use the multiplication table for the correct answer
• Write down the 25-digit 24, and underline to write down the answer - 1
• Again ask: in the unit how many four-placed - not at all. Then we demolish the number "6"
• to the unit. It turned out 16 - how many fours are placed in this number? Correctly - 4. We write "4" next to "6" in response to
• . Under 16, we record 16, underline and get "0", so we have divided correctly and the answer is "64"

Written division into two-digit number

Divide by a two-digit number

When a child has mastered the division by a single digit, you can move on. The written division into a two-digit number is slightly more complicated, but if the kid understands how this action is performed, then it will not be difficult for him to solve such examples.

Important: Again, start explaining with simple actions. The child will learn how to choose the right numbers and it will be easy for him to divide complex numbers.

Perform the following simple action together: 184: 23 - how to explain:

• We divide 184 by 20 first, we get about 8. But we do not write the number 8 in response, because this is a trial digit of
• We check whether 8 matches or not. Multiplying 8 by 23, we get 184 - this is exactly the number that we have in the divisor. The answer will be 8

Important: For the child to understand, try taking 9 instead of eight, let it multiply 9 by 23, it turns out 207 - it's more than in our divider. The figure 9 does not fit us.

So gradually the kid will understand the division, and it will be easier for him to divide the more complex numbers:

• Divide 768 by 24. Determine the first digit of the quotient - divide 76 not by 24, but by 20, it turns out 3. We write 3 in response under the line on the right
• Under 76write 72 and draw a line, write the difference - it turned out 4. Is this number divided by 24?No - demolish 8, it turns out 48
• The number 48 is divided by 24?That's right, yes. It turns out 2, we write down this figure in response to
• . It turns out 32. Now we can check whether we performed the action of division correctly. Make multiplication in a column: 24x32, it turns out 768, then everything is correct

Division by three-digit number

Division by three-digit number

If the child has learned to perform division by a two-digit number, then it is necessary to go to the next topic. The algorithm for dividing by a three-digit number is the same as the algorithm for dividing by a two-digit number.

For example:

• Divide 146064 by 716. We take first 146 - ask the child whether this number is divided by 716 or not. Correctly - no, then we take 1460
• How many times the number 716 will fit in the number of 1460?Correctly - 2, then we write this figure in the answer
• Multiply 2 by 716, it turns out 1432. We write this figure under 1460. It turns out the difference 28, we write down under the line
• We take down 6. Ask the child - 286 divided by 716?Correctly - no, so we write 0 in the answer next to 2. We take down another digit 4
• Divide 2864 by 716. We take 3 - a little, 5 - a lot, then it turns out 4. Multiply 4 by 716, it turns out 2864
• Write 2864 under 2864, is obtained in the difference of 0. Answer 204

Important: To check the correctness of the division, multiply together with the child in a column - 204x716 = 146064.The division is correct.

Division with remainder

Division with remainder

It's time for the child to explain that the division can be not only whole, but also with the remainder. The remainder is always less than or equal to the divisor.

The division with the remainder should be explained with a simple example: 35: 8 = 4( balance 3):

• How many eights are placed in 35?Correct - 4. Remains 3
• Is this number divided by 8?Correctly - no. It turns out, the rest 3

After that the child should learn that it is possible to continue division by adding 0 to figure 3:

• In the answer there is figure 4. After it we write a comma, as adding zero says that the number will be with the fraction
• It turned out 30We divide 30 by 8, it turns out 3. We write down in response, and under 30 we write 24, we emphasize and write 6
• We take down to 6 the digit 0. We divide 60 by 8. We take on 7, we get 56. We write under 60 and write the difference 4
• To figure 4, add 0 and divide by 8, it turns out 5 - write in response
• Subtract 40 from 40, it turns out 0. Itto answer: 35: 8 = 4,375

Algorithm division numbers

numbers division algorithm

Tip: If a child is something not understood - do not be angry. Let it take a couple of days and try to explain the material again.

The lessons of mathematics in the school will also consolidate knowledge. Time will pass and the kid will quickly and easily solve any examples of division.

The algorithm for dividing numbers is as follows:

• Calculate the number that will be in the response
• Find the first incomplete divide
• Find the number of digits in the private
• Find the digits in each digit of the private
• Find the remainder( if any)

This algorithm divides both single digits andany multi-digit number( two-digit, three-digit, four-digit, and so on).

Games for division

Games for division

When dealing with a child, more often give him examples on how to make an estimate. He must quickly calculate the answer in his mind. For example:

• 1428: 42
• 2924: 68
• 30296: 56
• 136576: 64
• 16514: 718

To fix the result, you can use these games for division:

• "Puzzle."Write five examples on a sheet of paper. Only one of them should be with the correct answer.

Condition for the child: Among several examples, only one is resolved correctly. Find it in a minute.

Video: Play arithmetic for children addition subtraction division multiplication

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Video: Divide a two-digit number into a single-digit

When a child additionally studies at home, he fixes the material he traverses in school. Thanks to this, it is easier for him to learn and he will not lag behind his peers. So help your children, do home with them together.and the baby will succeed!

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