What is the standard algorithm for 3 divided by 2926?

Answer 1

0.001

Answer 2

The standard algorithm is long division. For this kind of division where the divisor (2926) is (much) greater than the dividend (3) I would recommend the Bus Stop method and to do the subtractions in full.

Start by writing the divisor outside the Bus Stop (shelter) and the 3 inside the Bus Stop. It is going to be less than 1, so I would immediately write a decimal point after the 3 in the dividend and in the quotient (directly over the decimal point in the dividend), and then put quite a few zeros after the decimal point in the dividend (as they do not change the dividend):

________.__________

______---------------

2029|3.00000000

Now follow the long division as normal, bringing down as usual:

_______0.00149___

______---------------

2029|3.00000000

_______2029

_______------

________9710

________8116

________------

_________5940

_________4058

_________------

_________18820

_________18261

_________--------

____________659

etc, repeating until the required accuracy is achieved. In this case as 659 is less than half of 2029, thus 3 ÷ 2029 is 0.00149 to 3 sig fig.

Answer 3

There are no separate algorithms for every possible division - you will use the same algorithm for any division (at least, of a certain class of numbers, such as whole numbers, or decimal numbers). The algorithm is the same; only the specific numbers change.You can find a description of how this algorithm works in math school books; or check the Wikipedia article on "Long division".