How to explain a child by dividing a column

In the process of schooling, a problem often occurs when the child failed to understand the simple number division operation in the classroom. Adults think that this is not difficult at all. But the schoolboy faces this for the first time and not always can independently understand everything.

In such a situation,

parents, having patience, should be extremely simple and clear to explain all the incomprehensible moments. How to correctly explain and explain child dividing by column, read in the materials of this article.


1. What you need to know to learn how to divide
2. Partition principle for children
column division algorithm 4.
dividing learning technique 5. Instead of finding

What you need to know to learn how to divide

First,than to start division, it is necessary to make sure that the child has mastered the basics of mathematics - addition, subtraction.

It is necessary to explain to him the basics of multiplication and check the knowledge of the multiplication table. You need to make sure he has studied the digit numbers. How to explain a child by dividing a column

Without these bases, it's unlikely to be able to carry out arithmetic operations with numbers. Mathematics does not endure the gaps in knowledge, so it is important to put this principle at the head of a child from an early age. Even if some part of the material was missed due to illness or other absence in the classroom, the material should be studied.

Gaps in knowledge will entail difficulties in solving problems, examples, and in high school and problems in studying other disciplines.

Principle of division for children

Then proceed to form the very understanding that distribution is the process of dividing something into identical parts. The easiest way is to teach a child such a mathematical action - ask to divide a small number of items between him and his family members. Using the game approach, it's easier to catch the essence of the process of division.

For example, they ask to divide the orange into lobes between him and his family, so that everyone is equal. First, the child will translate one thing. Then you have to ask him to calculate how many particles were originally, and how much each person got.

It is necessary to show to the child that they are able to divide the objects - it means to decompose them in such a way that everyone gets equal even regardless of the number of participants. It is explained that they can not always be divided into identical parts. Give an example. If 10 apples are divided between dad, mom and grandmother, then everyone will get 3 pieces, and 1 will remain. How to explain a child by dividing a column

You can use the visual material to make the learning process easier for the child. Use counting sticks, spreading them into separate "lots", simulating the division of sticks into several even pieces. You can use nuts, seeds, pencils. Mandatory condition - learn how to play.

Once the child has mastered the very essence of the principle of division, one must begin to study the mathematical record of this operation. Explain that division is the opposite multiplication operation. Demonstrate this with a multiplication table.

For example, 3x2 = 6.We must repeat that the product of these numbers is equal to the result of multiplication. Then show that the division operation, the opposite of multiplication, and all this show the child. Divide our product "6" into the multiplier "3", and as a result there will be another multiplier.

Parents' task - to explain to the young talent a table of multiplication "inverted".It is very important that the child is well absorbed. This knowledge will simply be necessary to study division into a column.

Split Algorithm in

Column In order to solve examples, a partition column is recommended to use a simple algorithm.

  • Define in the example where the divider is located, and where is the divider.
  • Write a divisor and a divisor under the "corner".
  • Determine which part of the divide can be used for the primary distribution.
  • Determine how many times a divisor is located in the selected part of the divisor.
  • Execute the multiplication of the divisor by the resulting number under the corner, enter the result for the selected part of the divisor.
  • Find the difference( remainder).
  • Repeat until the remainder is 0.
  • For more detail, we will analyze this algorithm in a specific example.

    A division training technique in the

    column To begin this arithmetic action, you need to introduce the child with the name of the elements when dividing.

    Dilienne - The number to be divided is divided into divider , resulting in the private .

    Explains the very essence of the column division operation. This is such an action in mathematics, which is used to divide numbers by crushing the process of division into more simple steps.

    Division into a column on a specific example of

    A division method based on a specific example is very common and used by students in further learning. The child is asked to divide the number 945 5 column.

    Step 1. At this stage, you need to ask the child to show the separation components. If he correctly mastered the above material, then without much effort will determine: 945 - is divisible, 5 - divider, the result of division - private. Actually, this is something that needs to be found.

    Step 2 .First, the child is asked to record next to 945 and 5, and then divide them into a "corner".How to explain a child by dividing a column

    Step 3. Next step, the child is asked to view the divided and, moving to the right, suggest to determine the smallest number that is greater than the divisor. The student determines the numbers: 9, 94 and 945. The smallest of them is 9. Then they ask how many times 5 is in the number 9?The child answers one time. So, write 1 under the rhythm - the first digit of the desired private. How to explain a child by dividing a column

    Here and the column will come out soon.

    Step 4 .At the next stage, the child is offered to multiply 1 by 5 and get 5. Ask to record the result received, under the first digit of the divided, and subtract from 9. Ask the child about the result and receive 4. How to explain a child by dividing a column

    It is important to explain to him that the result of subtraction will always beless dividerAnd if on the contrary, it means that it was incorrect to determine how many times 5 is contained in 9. Since the result is less than a divisor, it is increased by the next digit of the divisor. The child defines 4 and writes to the four.

    How to explain a child by dividing a column

    Step 5 .Then ask him a familiar question about how many times 5 is placed in 44?The student answers that eight times. Then they propose to write eight to one under the trait. Explain to the child that this will be the next figure of the desired private. Ask 5 multiplied by 8. Output 40, and record this digit under 44.

    How to explain a child by dividing a column

    Step 6 .At the next stage, the entire operation is repeated. A student subtracts 40 44, and receives 4( 4 less than 5, so the child does everything right).Now they propose to use the last digit of the divine - 5, asking to assign it down to four, and the number is 45.

    How to explain a child by dividing a column
    Again ask the same question. How many times does 5 fit in 45?The child answers that nine times. How to explain a child by dividing a column

    Step 7 .Asked to record nine under the trait. Propose to multiply by 5 by 9. The child says that he receives 45 as the result and writes in a column under 45. Subsequently he subtracts from 45 to 45 and receives 0. He explains that this was an example of a division without a residual.

    How to explain a child by dividing a column

    When a child is good at using a multiplication table, dividing into a column is a simple task for him. It is very important with the help of constant examples and exercises to consolidate the acquired skills.

    Instead of Conclusion

    How to explain a child by dividing a column If your child has learning problems, parents should help him overcome any difficulties.

    Division into a column - a class 2-3 program, of course. For parents this is a long-forgotten knowledge, but if necessary and desirable, everything can be restored in memory and help its student.