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Division of Large Numbers
Dividing a large number is similar to dividing a smaller number, but it may involve more steps and digits. The process for dividing a large number is the same as for dividing a smaller number, but it may require more digits in the quotient and more steps in the calculation.
One way to perform division of large numbers is by using the traditional long division method. Here's an example of how to use long division to divide 3234 by 6:
A) Write the dividend (3234) . Write the divisor (6) to the left of the dividend.
6) 3234
B) Divide the first digits of the dividend by the divisor. If it is less than the divisor than take one more digit. So here the first digit (3) is less than the divisor (6) so we take 32. When 32 is divided by 6, we get 30 by doing 5 times 6 and remainder is 2. Write the quotient (5) to the right of the dividend and remainder 2 in the next line.
6) 3234 (5
30
2
C) Bring down the next digit of the dividend (3) and place it next to the previous remainder (2) to form a new number (23).
6) 3234 (5
30
23
D) Now divide the new number (23) by the divisor (6), getting a quotient of 3 with a remainder of 5. Write the quotient (3) in the quotient section right to the dividend and remainder 5 in the next line.
6) 3234 (53
30
23
18
5
E) Bring down the next digit of the dividend (4) and place it next to the remainder (5) to form a new number (54).
6) 3234 (53
30
23
18
54
F) Divide the new number (54) by the divisor (6), getting a quotient of 9 with a remainder of 0. Write the quotient (9) in the quotient section right to the dividend and remainder 0 in the next line.
6) 3234 (539
30
23
18
54
54
0
As there are no more digit in thee dividend and the remainder is less than divisor, the division ends here and we found the answer. So when 3234 is divided by 6 quotient is 539 and remainder is 0.
Another Example
In the above example step C and E, we got the numbers 23 and 54 which are greater than divisor 6.
Sometime in these steps we may get the number which is less than the divisor. For example if we divide 3030 by 6:
6) 3030 (5
30
3
After bringing down the number 3 we are left with number less than 6. In such case if there are further digits left in the Dividend, we put 0 in the Quotient and bring down the next number from the dividend:
6) 3030 (50
30
30
Now we can divide this by 6:
6) 3030 (505
30
30
30
0
So, we get the answer for the division as 505.
Division with Non Zero Remainder
Sometimes the divisions may result in non zero remainder. For example when we divide 3232 by 6 the remainder is 4
6) 3232 (538
30
23
18
52
48
4
The result 538 is accurate till the integer value. To get further accuracy in the result, we need to use decimal point .
We put decimal point (.) in the Quotient and place 0 in the remainder to further divide the number:
6) 3232 (538.
30
23
18
52
48
40
Now we continue the iterations placing 0 with the remainder for the next decimal accuracy.
First decimal accuracy:
6) 3232 (538.6
30
23
18
52
48
40
36
4
Second decimal accuracy:
6) 3232 (538.66
30
23
18
52
48
40
36
40
36
4
So we get the result 538.66 which is accurate till two decimal places.
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