Long Division Methods
Method 1
We are going to try to solve
839 ÷ 27
Method 1
839
-270
839 ÷ 27
(27 x 10 = 270)
Method 1
839
-270
569
839 ÷ 27
(27 x 10 = 270)
Method 1
839
-270
569
-270
299
839 ÷ 27
(27 x 10 = 270)
(27 x 10 = 270)
Method 1
839
-270
569
-270
299
-270
29
839 ÷ 27
(27 x 10 = 270)
(27 x 10 = 270)
(27 x 10 = 270)
Method 1
839
-270
569
-270
299
-270
29
-27
2
839 ÷ 27
(27 x 10 = 270)
(27 x 10 = 270)
(27 x 10 = 270)
(27 x 1
= 27)
Method 1
839
-270
569
-270
299
-270
29
-27
2
839 ÷ 27
(27 x 10 = 270)
(27 x 10 = 270)
(27 x 10 = 270)
(27 x 1
= 27)
10 + 10 + 10 + 1 = 31
Method 1
839 ÷ 27 = 3 1
Or 31 2
27
r 2
Long Division Methods
Method 2
We are going to try to solve
839 ÷ 27
Method 2
839 ÷ 27
becomes
27 ) 8 3 9
Method 2
839 ÷ 27
27 ) 8 3 9
27 x 10 = 270
Miles off!
Method 2
839 ÷ 27
27 ) 8 3 9
27 x 10 = 270
27 x 20 = 540
Getting
better!
Method 2
839 ÷ 27
27 ) 8 3 9
27 x 10 = 270
27 x 20 = 540
27 x 30 = 810
Much better!
Method 2
27 x 30 = 810
839 ÷ 27
Put the 810
underneath.
27 ) 8 3 9
-810
29
27 x 30 = 810
Method 2
839 ÷ 27
27 ) 8 3 9
-810
29
-27
2
27 x 30 = 810
27 x 1 = 27
Method 2
839 ÷ 27
31
27 ) 8 3 9
-810
29
-27
2
27 x 30 = 810
27 x 1 = 27
30 + 1 = 31
Method 2
839 ÷ 27
31
27 ) 8 3 9
-810
29
-27
2
r 2
Don’t forget
the remainder!
Method 2
839 ÷ 27 = 3 1
Or 31 2
27
r 2
Long Division Methods
Method 3
We are going to try to solve
839 ÷ 27
Method 3
839 ÷ 27
becomes
27 ) 8 3 9
Method 3
839 ÷ 27
Calculate 8 ÷ 27
27 ) 8 3 9
Method 3
839 ÷ 27
We can’t do it, so
we write the
answer 0 here
0
27 ) 8 3 9
Method 3
839 ÷ 27
So we next look at
83 ÷ 27
0
27 ) 8 3 9
Use you repeated subtraction
here if this helps
Method 3
2 x 27 = 54
839 ÷ 27
03
27 ) 8 3 9
3 x 27 = 81
Method 3
3 x 27 = 81
839 ÷ 27
03
27 ) 8 3 9
-81
2
We need to
take off 81
from the
83 to get
the
remainder
Method 3
839 ÷ 27
03
27 ) 8 3 9
-81
29
Drop the
next digit
next to the
2
Method 3
Now we are
going to do
29
÷
27
and
839 ÷ 27
put the
answer
here
031
27 ) 8 3 9
-81
29
Method 3
839 ÷ 27
Now we are going
to do 29 - 27 to
get the remainder
031
27 ) 8 3 9
-81
29
27
Method 3
839 ÷ 27
031
27 ) 8 3 9
-81
29
27
2
r 2
Method 3
839 ÷ 27
or
= 31
31 2
27
r 2