Div Without Rmd

8/13/2019 Div Without Rmd

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Before implementing the process ofdivision, you must be able to usemultiplication table up to 9 x 9 and

perform subtraction using abacus.

ntrodu tion


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Division equation

12 4 = 3

Dividend Divisor Quotient


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Placing of dividend

Place the dividend starting from the thirdrod from the left of the abacus

1st digit of the dividend


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Placing of the quotient

If the first digit of thedividend is greater or equal tothe divisor, skip one rod to the

left of the dividend.


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Placing of quoti nt

The quotient should be placed at the firstrod from the left frame of the abacus.

Quotient


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Placing of the quotient

If the first digit of thedividend is less than the divisor,place the quotient next (to the

left) to the dividend.


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Placing of quotient

The quotient should be placed nextto the dividend.

Quotient


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Example 1 : 9 3

Quotient Dividend


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Example 2 : 21 3

Quotient Dividend


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Division (Without Remainder)

4 2 =

Up 4 at the third rod from the left.

What number times 2 equals 4? Its 2. Where should we display the quotient?Up 2 at the first rod,

down 4 from the dividend.The answer is 2.

Demo


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9 3 =

Up 9 at the third rod from the left.What number times 3 equals 9? Its 3. Where should we display the quotient?Up 3 at the first rod,down 9 from the dividend.The answer is 3.

Demo


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8 4 =

Up 8 at the third rod from the left.What number times 4 equals 8? Its 2. Where should we display the quotient?Up 2 at the first rod,down 8 from the dividend.The answer is 2.

Demo


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Exercise 1

1) 8 2 =

2) 6 2 =

3) 4 2 =

4) 2 2 =

5) 9 3 =

4

3

2

1

3


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Exercise 2

1) 6 3 =

2) 3 3 =3) 8 4 =

4) 4 4 =5) 5 5 =

2

12

11


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20 5 =

Up 20 from the third rod of the abacus.What number times 5 equals 20? Its 4. Where should we display the quotient?Up 4 at the second rod,down 20 from the dividend.The answer is 4.

Demo


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24 4 =

Up 24 from the third rod of the abacus.

What number times 4 equals 24? Its 6. Where should we display the quotient?Up 6 at the second rod,down 24 from the dividend.The answer is 6.

Demo


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27 3 =

Up 27 from the third rod of the abacus.What number times 3 equals 27? Its 9. Where should we display the quotient?Up 9 at the second rod,down 27 from the dividend.The answer is 9.

Demo


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34 2 =

Demo

Up 34 from the third rod of the abacus.What number times 2 is closest & < 3? Its 1. Where should we display the quotient?Up 1 at first rod, down 2 at third rod. (R 14)What number times 2 equals 14? Its 7. Up 7 at second rod,down 1 at third rod, down 4 at fourth rod.The answer is 17.


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42 3 =

Demo


What number times 3 is closest & < 4?Where should we display the quotient?Up 1 at first rod, down 3 at third rod. (R 12)What number times 3 equals 12? Its 4. Up 4 at second rod,down 1 at third rod, down 2 at fourth rod.The answer is 14.


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56 4 =

Demo


What number times 4 is closest & < 5?Where should we display the quotient?Up 1 at first rod, down 4 at third rod. (R 16)

What number times 4 equals 16? Its 4. Up 4 at second rod,down 1 at third rod, down 6 at fourth rod.The answer is 14.


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65 5 =

Up 65 from the third rod of the abacus.What number times 5 is closest & < 6?Where should we display the quotient?Up 1 at first rod, down 5 at third rod. (R 15)What number times 5 equals 15? Its 3.

Up 3 at second rod,down 1 at third rod, down 5 at fourth rod.The answer is 13.

Demo


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30 3 =


What number times 3 equals 3? Its 1. Where should we display the quotient?Up 1 at the first rod,down 3 from the dividend.The answer is 10.

Demo


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Determine value of the quotient

m n + rm : number of digits for dividendn : number of digits for divisor

r = 0 ifthe first digit of the dividend is

less than the divisor r = 1 if the first digit of the dividend isgreater or equal to the divisor.


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200 4 =


What number times 4 equals 20? Its 5. Where should we display the quotient?Up 5 at the second rod,down 20 from the dividend.The answer is 50.No. of digit = 3 1 + 0

Demo


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400 2 =


What number times 2 equals 4? Its 2. Where should we display the quotient?Up 2 at the first rod,down 4 from the dividend.The answer is 200.No. of digit = 3 1 + 1

Demo


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Exercise 3

1) 18 2 =

2) 26 2 =3) 34 2 =

4) 42 2 =

5) 69 3 =

9

1317

21

23


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Exercise 4

1) 18 3 =2) 36 3 =

3) 54 3 =

4) 45 3 =

5) 52 4 =

612

18

15

13


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Exercise 5

1) 28 4 =

2) 56 4 =3) 68 4 =

4) 72 4 =

5) 85 5 =

7

1417

18

17


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Exercise 6

1) 52 2 =

2) 58 2 =

3) 51 3 =

4) 57 3 =

5) 60 4 =

26

29

17

19

15


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Exercise 7

1) 64 4 =

2) 76 4 =

3) 65 5 =

4) 70 5 =

5) 95 5 =

16

19

13

14

19


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Extra Exercise 1

1) 42 6 =

2) 78 6 =

3) 114 6 =

4) 168 6 =

5) 234 6 =

7

13

19

28

39


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Extra Exercise 2

1) 42 7 =

2) 98 7 =

3) 105 7 =

4) 126 7 =

5) 336 7 =

6

14

15

18

48


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Extra Exercise 3

1) 64 8 =

2) 96 8 =

3) 112 8 =

4) 136 8 =

5) 232 8 =

8

12

14

17

29


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Extra Exercise 4

1) 36 9 =

2) 126 9 =3) 162 9 =

4) 144 9 =

5) 342 9 =

4

1418

16

38


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= 24 2


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9 3 = 3


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8 4 = 2


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= 420 5


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= 624 4


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27 3 = 9


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= 1734 2


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= 1442 3


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56 4 = 14


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65 5 = 13


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= 50200 4


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= 200400 2


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Div Without Rmd