Method(s) of DIVISION of INTEGERS is  (are)
♦ METHOD(s) of DETERMINING the RESULT (QUOTIENT) of
♦ HOW MANY TIMES A NATURAL NUMBER CALLED a DIVISOR
♦ CAN BE SUBTRACTED FROM / IS CONTAIN- ED IN ANOTHER NATURAL NUMBER CALLED
and WHICH NATURAL NUMBER (REMAINDER, LESS THAN DIVISOR) STAYS BEHIND.
The way we define division permits decompositions in the numerator but not in the denominator .
2/4 = 1/4 + 1/4 (one half two quarters) but 2/4 =! 2/2 + 2/2 (one half can not be two , =! denotes inequality)
The second method is calculating the result by subtraction. Subtractions begin from the higher place values, are block subtractions and
result can be found in plausible time.
Look especially at the operation below. It will certainly be a long way to go.
The first should be 251 .
Since 3 digits are asked, b and d are out of question. Just look at the first digit after the dot and answer if it is an 8 or a zero .
The number should be more than 1708 (61x28) but it can at the most be 27 more .
61x34=2074. Adding max. rem. we get 2107.
2107 - 1900 = 207. 207/8 is not a natural number.
Calculate 2008/8 = 26. The result must be 1/8 less then 26.
1x2x3x4x5=120 ... (and 3 more multiplications ...) .
The distance is 640 km and it should be divided by 8 because of underlined ... Not the average speed is being asked .
Think as 707000 + 707 + 0.707 .
0.707/707 = 1/1000 x (707/707) = 1/1000 = 0.001 since 1 percent is 0.01 .
micro is 1/(1000x1000) of .
Dividend is 9978 , and divisor is 999 .
Do not try to calculate, try to estimate: 9978/999 = 9990/999 - 12/999 = 1 - 12/999 .
If 12/999 were 12/100 it would be pretty easy. And their results should really be very close to each other. Their difference should be around
The decomposition is 9900/100 + 70/100 + 8/100 . The first element of this sum is 99.
The second is 7/10 and coded decimally it is 7 just after a comma (decimal point).
The third is 8/100 and its the 8's place shows it is the coefficint of hunderths.
The comma is the decimal dor of the US notation.
c is out because 100x63 is 6300 and the diff. with dividend is greater than the divisor.
d is out bacauese 101x63 = 6363 " " " " " " .
In ccase of a and b : Just after the decimal point we have (6445 - 6426)/63 =19/63 .
Since the decimal point is already there we may calculate 19000/63 , which we know how to do.
The situation after the decimal point can best be handled if we multiply te remainder by "10...0" the number of zeros being equal to
the number of digits after the decimal dot.
Add so many zeros to the right of the remainder and divide this by divisor, place the result after the dot.
The question contains clue to the answer .
7000 = 100x7, 2800 = 400x7 140 = 20x7 and 56 = 8x7 .
1.(a) , 4. (d), 11. (k) , 14. (n) , 21. (u) ve 24. (x) harfler .
235/42 = 5 with remainder and even if it is only a 1-digit number, a bus is needed.
He should have paid 100 man x years of salary in 6 years .
500 guests drink 100 liter and 9 lemons are needed ffor a liter .
34/8 = ?
42 300 m. distance in 140 minutes.
A day is 24x60=1440 minutes .
This is a division problem. The member will get forth only 2 steps in each 8 .
We also need to know which step after a definite multiple of 8 because it makes a difference .
The first five will be added and the consequents up to 8 will be subtracted.
If it can not be solved by perceiving it as a division problem, you can simulate the 38 steps as seen in "ry1" .
This is the feedback!