CALCULATING • EXPANDED LONG DIVISION 1454728 ÷ 34 = 139 r2
Finally, let’s add up how many 34s
we took away, which we listed
beside our calculation as we went along.
So, 100 + 30 + 9 = 139 groups of 34. Write
139 above the bracket, then put “r2”
beside it to show that 34 goes into 4728
139 times with a remainder of 2.So, 4728 ÷ 34 = 139 r2We’ve got 308 left from our original
dividend of 4728. That’s not quite
enough to take away a chunk of 10
34s, which would be 340. But we can
subtract nine 34s, which is 306.When we take away 306 from 308,
we’re left with 2. We can’t take any
more 34s away, so that’s the end of our
subtractions. The 2 is our remainder.(34 × 100)
(34 × 100)
−
−
34
34
HH−
−
−
−
2
2
(34 × 30)
(34 × 30)
(34 × 9)
(34 × 9)
The bigger the chunks
you work with, the fewer
subtractions there are.Write the
total number
of 34s hereAdd up how many 34s we’ve subtractedThere is a remainder of 2Keep writing down
the number of 34s
we’ve subtractedHow many are left for the cats?A fishy problem!
A fisherman catches 6495 fish. He sells them
to 43 fish shops, giving each shop the same
amount. Any fish left over he gives to his cats.TRY IT OUTAnswers on page 319TTOO139r2
7
7
4
4
2
2
8
8
4
4
3
3
0
0
0
0
3
3
1
1
2
2
8
8
0
0
1
1
2
2
0
0
3
3
0
0
8
8
3
3
0
0
6
6
ThTh139
Can you use expanded long division to
work out how many fish each shop gets?144-145_Expanded_long_division.indd 145 29/02/2016 18:56