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Thursday, May 7, 2020

Long Division!

Hi Bloggers!
So recently I've been having to do long division
so now I know how to do long divison with 1 digit divisor and 4 digit dividends
So here i wanted to share what I've learned from that.
so here I will show a long division problem and then I will show you how to do one.

                                                      6   ⟌4065
So say we saw that that basicly is just 6 divided by 406
So to start it we look at the 6 and the 4 and we ask how many times does 6 go into 4 and the answer is 0 because 6 cant go into 4 so we bring in the next number and make 4 into 40 so now we ask how many times does 6 go into 40 and the answer is 6 times since it is the closest we can get so now we put 6 ontop of the 0  like this            x     0  6
                                                               6 ⟌4 0 6 5
Now we go 6 from the top x 6 (the divisor) and that is 36 and now we do this 
                                                          x    0  6
                                                         6 ⟌4 0 6 5
                                                                -
                                                                 3 6
                                                             ----------
                                                                     4
and since thats 4 its right because it's smaller than the divisor
Now we can move to the next step which is where we duplicate the 6 (from the divendend) and bring it down to the 4 then we ask how many times does 6 go into 46 like this
                                                          x    0  6
                                                         6 ⟌4 0 6 5
                                                                -
                                                                 3 6
                                                             ----------
                                                                     4 6
And the answer is 7 times and we put the seven above the six then go 6 x 7 which equals to 42 and minus that from 46 like this

                                                          x    0  6 7
                                                         6 ⟌4 0 6 5
                                                                -
                                                                 3 6
                                                             ----------
                                                                     4 6
                                                                     -
                                                                     4 2
                                                                 ----------
                                                                        4
Now we bring down the last number which is 5 and make the 4 into 45 and ask How many times does 6 go into 45? Which is 7 times so now we put the 7 above the 5 and then we go 6x7 which equals to 42 then we go 45 - 42 which equals to 3 so now our answer is 677 with a remainder of 3
and our completed problem looks like this
                                                          x    0  6 7 7 r 3
                                                         6 ⟌4 0 6 5
                                                                -
                                                                 3 6
                                                             ----------
                                                                     4 6
                                                                     -
                                                                     4 2
                                                                 ----------
                                                                        4 5
                                                                      -
                                                                        4 2
                                                                  ------------
                                                                           3

Thats all for this blog post hope it tought you something cause this took a long time to type 🤣
  Stay safe!
Yours truly
-Shanaya                                                   



2 comments:

  1. Wow Shanaya! That is some outstanding maths! Great explanation too! Who has been teaching you long division. This is something I haven't done since I was at school!

    ReplyDelete
  2. Ata marie Shanaya,
    Well that is a very impressive blog post! I really like how you explain each step very clearly. Like Whaea Dana, I haven't used long division for a very long time either. So thank you for reminding me how to do it.
    Take care,
    Whaea Cara.

    ReplyDelete