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Divide the following by Dhwajanka method:

(a) 12474 ÷ 54

(b) 21112 ÷ 812

1 Answer

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(a) 12474 ÷ 54

(i) 12 ÷ 5, Quotient digit = 4 is written below the horizontal line and write remainder = 2 before 4.

(ii) New dividend = 24 Adjusted dividend

= New dividend – Quotient digit x Dhwajanka

= 24 – 2 x 4 = 16

(iii) 16 ÷ 5, Quotient digit = 3, Remainder = 1

(iv) Adjusted divisor = 16 – 3 x 4 = 4

(v) 4 ÷ 4, Quotient digit 1,

Remainder = 0

(vi) Final remainder = 04 – 1 x 4 = 0

Quotient = 231, Remainder = 0

(b) 21112 ÷ 812

Steps:

(i) 21 ÷ 8, Quotient digit = 2, Remainder = 5

(ii) New dividend = 51,

Corrected dividend = 51 – 2 x 1

= 49

(iii) 49 ÷ 8, Quotient digit = 6, Remainder = 1

(iv) Final remainder

= 112 – (6 x 1 + 2 x 2) 10 – 6 x 2 

= 112 – 100 – 12 = 0

Quotient = 26, Remainder = 0.

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