Long Division by 2
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2)34571
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because 2 < 3, we do 2)3 first
2 goes into 3 once
put the number of times 2 goes into 3 above the 3
1
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2)34571
now we find the remainder
first we multiply 2 by what we just put on top (1), and put it under the 3
1
______
2)34571
2
to find the remainder, we subtract 2 from 3
1
______
2)34571
2
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1
so we see that 3/2=1R1
now we proceed bring down the next digit - the 4
1
______
2)34571
2
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14
how many times does 2 go into 14? 7 times. So we put 7 above the 4.
17
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2)34571
2
_____
14
now we find the remainder
first we multiply 2 by what we just put on top (7), and put it under the 14
17
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2)34571
2
_____
14
14
to find the remainder, we subtract 14 from 14
17
______
2)34571
2
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14
14
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0
so we see that 14/2=7R0
we also see that 34/2=17R0
now we proceed bring down the next digit - the 5
17
______
2)34571
2
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14
14
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05
how many times does 2 go into 5? 2 times. So we put 2 above the 5.
172
______
2)34571
2
_____
14
14
_____
05
now we find the remainder
first we multiply 2 by what we just put on top (2), and put it under the 5
172
______
2)34571
2
_____
14
14
_____
05
4
to find the remainder, we subtract 4 from 5
172
______
2)34571
2
_____
14
14
_____
05
4
___
1
so we see that 5/2=2R1
we also see that 345/2=172R1
now we proceed bring down the next digit - the 7
172
______
2)34571
2
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14
14
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05
4
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17
how many times does 2 go into 17? 8 times. So we put 8 above the 7.
1728
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2)34571
2
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14
14
_____
05
4
___
17
now we find the remainder
first we multiply 2 by what we just put on top (8), and put it under the 17
1728
______
2)34571
2
_____
14
14
_____
05
4
___
17
16
to find the remainder, we subtract 16 from 17
1728
______
2)34571
2
_____
14
14
_____
05
4
___
17
16
___
1
so we see that 17/2=8R1
we also see that 3457/2=1728R0
now we proceed bring down the next digit - the 1
1728
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2)34571
2
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14
14
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05
4
___
17
16
___
11
how many times does 2 go into 11? 5 times. So we put 5 above the 1.
17285
______
2)34571
2
_____
14
14
_____
05
4
___
17
16
___
11
now we find the remainder
first we multiply 2 by what we just put on top (5), and put it under the 1
17285
______
2)34571
2
_____
14
14
_____
05
4
___
17
16
___
11
10
to find the remainder, we subtract 10 from 11
17285
______
2)34571
2
_____
14
14
_____
05
4
___
17
16
___
11
10
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1
so we see that 11/2=5R1
we also see that 34571/2=17285R1
since there are no more digits to bring down, we copy the 1 up to the
remainder
17285R1
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2)34571
2
_____
14
14
_____
05
4
___
17
16
___
11
10
__
1
we are done - the answer is 17285R1