# Negative division

Discussion in 'Math' started by Lightfire, May 2, 2011.

1. ### Lightfire Thread Starter Well-Known Member

Oct 5, 2010
690
21
Hello,

I just want to ask how to divide this;

53 divided by 70.Using a paper and pen. I can only divide if it is;
70 divided by 53.

Thanks!

2. ### Georacer Moderator

Nov 25, 2009
5,151
1,266
Try this:
53/70=
(530/70)/10

Do you know how to do this one?

The way I do it, when I do vertical division, is to add a decimal mark and zeroes if needed) in the quotient, until the dividend is greater than the divisor.

For example, 5.3/70 would start as:
5.3|70
....|....

And I would re-work it as:
530|70
----|0.0

and continue with the division normally.

3. ### ErnieM AAC Fanatic!

Apr 24, 2011
7,907
1,789
I would start by setting the problem on paper with the divisor (70) on the left, the dividend (53) on the right, with a line over as a place for the quotient (answer), like so:

Code ( (Unknown Language)):
1.
2.
3.    -------
4. 70 |53.0
5.
First we ask "how many times does 70 go evenly into 53? As the answer is zero we write that down in the units position.

Code ( (Unknown Language)):
1.
2.      0
3.    -------
4. 70 |53.0
5.
We are out of integers and now must work with decimals, so in the quotient area add a decimal place. In the dividend area add a zero so we can work down 10 times the precision of the number we have:

Code ( (Unknown Language)):
1.
2.      0.
3.    -------
4. 70 |53 0
5.
Our question is now how many times does 70 go into 530, which is 7. Write the 7 down in the quotient, and write the product of 7*70 (= 490) below the dividend, and subtract:

Code ( (Unknown Language)):
1.
2.      0.7
3.    -------
4. 70 |53 0
5.    -49 0
6.    -------
7.      4 0
8.
As we still have a remainder we again tack on the zero to the remainder and see how many times does 70 go into 400, which is 5, and we mark down 5 times 70 below the remainder and again subtract:

Code ( (Unknown Language)):
1.
2.      0.75
3.    -------
4. 70 |53.0
5.    -49 0
6.    -------
7.      4 00
8.     -3 50
9.    -------
10.        50
11.
Those are the basic steps. You keep repeating until either the remainder is zero, or you have sufficient precision in the quotient.