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### Putting Division into Words

```
Date: 04/06/99 at 09:55:28
From: nicole thiel
Subject: Division

How many times does 4 go into 600?  I know the answer is 150, but I
I have to explain how I got the answer and I am having a hard time
putting it into words.
```

```
Date: 04/06/99 at 12:57:16
From: Doctor Peterson
Subject: Re: Division

Hi, Nicole.

Since I don't know how YOU got the answer, I can't put it into words
for you, but I can suggest how I might do it without having learned
division yet.

Suppose I have 600 sticks, and I want to divide them among four
people. Rather than count them out individually, I want to make use of
what I know from the number: that they come in 6 bundles of 100.

I can start by giving each person a bundle, so each has 100 sticks and
I have 2 bundles left over. I've divided 6 by 4 and gotten a quotient
of 1, with a remainder of 2.

Now how can I divide the remaining 2 bundles among four people? I have
to untie the bundles. Luckily, I find that each bundle is really ten
bundles of ten sticks tied together - that is, 1 hundred is the same
as 10 tens. So now I have 20 bundles of 10.

I can divide 20 by 4 to get exactly 5, so I give each person 5 bundles
of ten. Now each of them has 1 hundred and 5 tens, making a total of
100 + 50 = 150. Since I have none left, we're done, and you have your

This is just what we do when we divide numbers with several digits. I
don't know whether you've learned this yet, so I'll just write it out
and you can figure out what it means by comparing it with what I've
said:

_150_
4 )600
4     <-- 4 hundreds (1 x 4) distributed
-
20    <-- 2 hundreds (20 tens) left
20    <-- 20 tens (5 x 4) distributed
--
00   <-- nothing left
0   <-- nothing more distributed
--
0

Does that fit with your own reasoning at all? If not, it's a good way
to think.

- Doctor Peterson, The Math Forum
http://mathforum.org/dr.math/
```
Associated Topics:
Elementary Division

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