Video Transcript
Evaluate 848 divided by four using
the partial quotient method.
In this question, we’re asked to
evaluate or find the value of 848 divided by four. Or in other words, how many fours
are there in 848? Now whilst we could use times
tables facts we already know if we were dividing a two-digit number by four or even
use repeated subtraction by taking away four each time, we need to use a method
that’s a little quicker when we’re dividing a three-digit number like this by
four. And that’s why we’re told to use
the partial quotient method. And this involves breaking up the
number 848 into smaller parts. We might not know how many fours
there are in 848 straightaway, but we do know how many there are in part of 848. Then we can look at what’s left and
look at another part and so on.
So before we start, let’s think
about some multiples of four that we could take away. We don’t want to be subtracting
four and then four and then four and then four, do we? Now, we know that 10 fours are
worth 40. Now that could come in useful. But 848 is still quite a large
number to be taking away 40 from each time. What if we multiply this fact by
10? What are 100 fours? Well, this is quite a
straightforward fact too. 100 fours are 400. What if we start off by taking away
100 fours at a time? That will take us back to zero
quite quickly, won’t it? So we’ll start off by subtracting a
chunk of fours, 100 lots of four or 400.
Now our number 848 has eight 100s
in it. And if we take away four of those
100s, we’re gonna be left with 448. Now we can see that we’ve got just
over 400 left, haven’t we? So there must be another 100 fours
we could subtract. 448 take away 400 leaves us with
just the tens and the ones, 48. Now, what could we subtract from
48? Well, if we use facts we already
know, we could take away all 48 at once. We know 10 fours are 40. That means 11 fours must be 44 and
12 fours must be worth 48. So if we take away those 12 fours,
it’ll bring us back to zero. So how many fours did we find there
were in 848? There were 100, another 100, and 12
more. And 100 plus 100 plus 12 equals
212.
We found the answer to 848 divided
by four using the partial quotient method. The number of fours there are in
848 is 212.
