• How to share a bar?

    Andrey Semykin
    Andrey Semykin
    August 10, 2012
    178933
    How to share a bar?

    Now rarely have to do arithmetic calculations manually. But still, sometimes such a need arises. And then we start to puzzle: how to share the column yourself or how to teach how to divide the child's column? Let's try to deal with the column dividing algorithm with specific examples.

    Suppose we need to divide 1625 by 13. To begin with, let's draw a structure like this:

    alt

    In the lower right corner we will write our answer, number by figure. Where do we get these numbers from? But from where:

    We have a two-digit divider, so we look at the first two digits of the dividend and check whether the two-digit number resulting from them is greater than the divisor. In our example, 16 is more than 13. Of the 16, you can subtract 13 only once. Therefore, under 16 we write 13 as in the subtraction, and even lower we write the remainder of the subtraction - 3. In the corner we write the first digit of the answer - 1.

    alt

    Add to the top three the next digit from the dividend, we get 32. Of the 32, we can subtract 13 twice, so we write the second digit of the answer - 2:

    alt

    We repeat the same actions with the last remaining digit of the dividend, we get:

    alt

    So, our answer is 1625/13 = 125.

    But the result of division is not always an integer, and it is worth understanding how to learn how to divide into a bar in this case. For example, divide 129 by 4.

    The form for division is built in the same way as in the previous example and we begin to divide in the same way:

    alt

    And here, after the first step, the balance turned out to be 0. It's okay, we are working with the next digit of the dividend.

    alt

    Here came an interesting point: the digits of the dividend ended, but we still did not receive the zero in the balance. What to do? In the answer we put a comma, after it we will write the fractional part. Add 0 to the residue, i.e. we will now have 10 instead of 1. Next we continue the operations already familiar to us:

    alt

    Well, we got to zero in the remainder, which means that our division by the bar is over. We found out that 129/4 = 32.25. The correctness of the answer can be checked using the inverse multiplication 32.25 * 4 = 129.


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