Divide and verify the answer by division algorithm :

(i) 3680 ÷ 87

(ii) 17368 ÷ 327

(iii) 32679 ÷ 265

(i) 3680 ÷ 87

$\begin{array}{l} \phantom{x^2 }{\quad 42} \ 87\overline{\smash{\big)}3680} \ \phantom{x}\phantom{)}\underline{-348} \ \phantom{{x^2 }+} 200 \ \phantom{{x} +}\underline{-174} \ \phantom{{x^2 a}+} 26\ \end{array}$

Dividend = 3680

Divisor = 87

Quotient = 42

Remainder = 26

Verification: Dividend = (Divisor × Quotient) + Remainder

Substituting the values in R.H.S. of the equation :

(Divisor × Quotient) + Remainder

= (87 x 42) + 26

= 3,654 + 26

= 3,680.

Since, L.H.S. = R.H.S. = 3,680

Hence, the result is verified by the division algorithm.

(ii) 17368 ÷ 327

$\begin{array}{l} \phantom{x^2 ++}{\quad 53} \ 327\overline{\smash{\big)}\quad 17368} \ \phantom{x^ + )}\phantom{))}\underline{-1635} \ \phantom{{x^2 } + 2a)} 1018 \ \phantom{{x} +1a )}\underline{-981} \ \phantom{{x^2 a} + 2x)} 37\ \end{array}$

Dividend = 17368

Divisor = 327

Quotient = 53

Remainder = 37

Verification: Dividend = (Divisor × Quotient) + Remainder

Substituting the values in R.H.S. of the equation :

(Divisor × Quotient) + Remainder

= (327 x 53) + 37

= 17,331 + 37

= 17,368

Since, L.H.S. = R.H.S. = 17,368

Hence, the result is verified by the division algorithm.

(iii) 32679 ÷ 265

$\begin{array}{l} \phantom{x^2 ))}{\quad 123} \ 265\overline{\smash{\big)}\quad 32679} \ \phantom{x^ + )}\phantom{))}\underline{-265} \ \phantom{{x^2 } + 2a)} 617 \ \phantom{{x} +1)}\underline{-530} \ \phantom{{x^2 a} + 2x)} 879 \ \phantom{{x} +1a ))}\underline{-795} \ \phantom{{x^2 a} + 2x))} 84\ \end{array}$

Dividend = 32679

Divisor = 265

Quotient = 123

Remainder = 84

Verification: Dividend = (Divisor × Quotient) + Remainder

Substituting the values in R.H.S. of the equation :

(Divisor × Quotient) + Remainder

= (265 x 123) + 84

= 32,595 + 84

= 32,679.

Since, L.H.S. = R.H.S. = 32,679

Hence, the result is verified by the division algorithm.