Division - just what is it they are doing?

Long Division – new

__________

3) 829

We are treating the numbers as their true value.  So, it’s not 3 into 8, it is how many times does three go into 829, or you may want to start with 3 into 800.

I teach them to use ‘nice’ number first.  These are numbers that multiply easily – 1, 10, 100, and 1000.  

It doesn’t matter which they choose.  In this case they could be using 100, 10 or even 1s (the ones will take a long time)

3 x 100 is less than 800 so it will work.  

  _________

3) 829

  - 300        x100

     529        (I can take another 3x100 from that)

-    300 x100

     229 ( at this point 3x100 is too much, so 10s)

     - 30 x10

     199 (hmm maybe a couple of 3x10s)

-    180 x60

       19 (now ones – I can use my fact knowledge here)

      -18 x6

         1 ( can’t get any more groups of 3 – so that is my remainder

(count up the numbers of groups I multiplied out

100+100+10+60+6

276 r 1

    3) 829 Don’t forget to write in the answer and remainder