Question

Long Division Help!

I forgot how to long divide and would like to learn. So how would you long divide 25378/184?

Answer 1

Please show work and explain steps

Answer 2

https://www.youtube.com/watch?v=eIUoIhfupuA

Answer 3

one what is to x=10



-----------------------------
x^2+8x +4 | 2x^4 + 5x^3 + 3x^2 + 7x + 8

Answer 4

@amistre64 I do not understand that

Answer 5

then you might have to just work it like we did back in the 3rd or 4th grade ....

Answer 6

Yeah that is actually what I wanted, a refresh mostly

Answer 7

hard to recall which grade it was really, been sooo long ago

Answer 8

But I would like to learn what you did there, I can divide polynomials using a box/grid method. Long division is really need though

Answer 9

well, we find an integer k such that

253 = 184k + r for some remainder r

Answer 10

if you can divide polys, divide the poly i presented

Answer 11

Okay, but I do now know how to do it with long division, the grid isn't accepted to my teacher

Answer 12

find an integer k such that

253 = 184k + r for some remainder r

in other words we want 184k to be just smaller than 253

Answer 13

k=1 and r=69?

Answer 14

1 is good,

253
-184
-----
69 thats good too, now drop down the next digit and do it again

Answer 15

1
--------
184 | 25378
(184)
-------
697

697 = 184k + r for some other k and r this time

Answer 16

So 697=184k+r
k=3 and r=145?

Answer 17

Does k have to be a whole number?

Answer 18

not really, but the algorithm is simpler if we let it be a whole number

Answer 19

Okay

Answer 20

So where are we at in terms of the

Answer 21

for example

127 = 1(10^2) + 2(10^1) + 7(10)^0

but it could just as well be

127 = 2/3(10^2) + 1/5(10^1) + 175/3(10)^0

Answer 22

13
--------
184 | 25378
(184)vv
-----
697v
(552)v
----
1458

Answer 23

This time
k=7 r=170

Answer 24

So just repeat and add decimal later?

Answer 25

then we have come to the end of it

170 out of 184 is left over

Answer 26

if youwant to decimate it sure ....

Answer 27

Okay great, now what were you doing with the polys and how did you make them?

Answer 28

25378 = 184(137) + 170

Answer 29

well since our number system is base 10 each position has a digit that is multiplied by a power of 10

instead of 10, let it be x and you have a polynomial representaiton of the numbers

Answer 30

Oh okay that is easy, then divide the polys, and what does the answer of the polys mean? Same base 10 concept?

Answer 31

yeah, itll be the same number but in a base x representation, let x = 10 again

2x^2 -11x +83
-----------------------------
x^2+8x +4 | 2x^4 + 5x^3 + 3x^2 + 7x + 8
(2x^4+16x^3 +8x^2)
--------------------
-11x^3 -5x^2 +7x +8
(-11x^3-88x^2 -44x)
--------------------
83x^2 + 51x +8
(83x^2+664x +332)
------------------
-613x -324

200 - 110 + 83 = 173

not too sure if i got the last part (the remainder) worked out right tho

Answer 32

Oh okay, thank you so very much for the great amount of help! Okay and final question, I know I won't be any time soon, but how does one become a moderator?

Answer 33

one does not become a moderator, one is chosen for the position.

Answer 34

Oh okay, I thanks for clearing that up. Okay so thank you very much for the help!

Answer 35

youre welcome