Standard Algorithm
Page 3 of 5

Ready to do one with a bigger number and more DMS loops?  I think you are, dude!

965/5=

Set it up:

965/5

Remember, your DMS loop...  Division, then multiplication, then subtraction...  and we do this until we run out of numbers!

Division:

Five doesn't go into 9 cleanly... What comes close, but is a little less?

Five goes into 9 one time... with a little left over.  Put that 1 right above the 9:

965/5 step 1

That little freaky thing seemed a lot easier this time, didn't it?  Let's keep going!

Multiplication:

Multiply the 1 and the 5 and put the answer right under the 9:

965/5 step 2

 

Subtraction:

Do the subtraction...
That's 9 - 5 = 4

965/5 step 3

First DMS loop done!  This is getting easier, isn't it?

Division, multiplication, subtraction.

Let's get the next number and do the DMS loop again!

Set it up: 
Drag the 6 down.

That makes it a 46...

965/5 step 4

Now, let's go back into our DMS loop using the 46!

Division:

We want to see how
many times 5 will go into 46...  Five goes into 45 nine times, so we'll use that!

5 goes into 46 nine times with a little left over.  Put that 9 right above the 6:

965/5 step 5

 

Multiplication:

Multiply the 9 and the 5 and put the answer right under the 46:

965/5 step 6

 

Subtraction:

That's 46 - 45 = 1

We haven't used all the numbers yet, so we need to do another loop!

965/5 step 7

Let's get the next number and do the DMS loop again!

Get that bad boy set up: 
Drag the 5 down.

That makes it a 15...

965/5 step 8

Now, let's go back into our DMS loop using the 15!

Division:

We want to see how
many times 5 will go into 15...  It goes in cleanly!

5 goes into 15 three times.  Put that 3 right above the 5:

965/5 step 9

 

Multiplication:

Multiply the 3 and the 5 and put the answer right under the 15:

965/5 step 10

 

Subtraction:

That's 15 - 15 = 0

DONE, BABY!!

The answer is 193.

965/5 step 11

Check it!!  193 x 5 should = 965!

There's one more little thing I need to show you before you try some on your own...  Check out the next page!

 

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