Divide 3605 by 29 and verify the division algorithm.

$\begin{array}{l} \phantom{x^2 }{\quad 124} \ 29\overline{\smash{\big)}3605} \ \phantom{x}\phantom{}\underline{-29} \ \phantom{{x^2 }+} 70 \ \phantom{{x}+}\underline{-58} \ \phantom{{x^2 } +2} 125 \ \phantom{{x} +}\underline{-116} \ \phantom{{x^2 + 3x}} 9 \ \end{array}$

Dividend = 3605

Divisor = 29

Quotient = 124

Remainder = 9

Verification: Dividend = (Divisor × Quotient) + Remainder

Substituting values we get :

(Divisor × Quotient) + Remainder

= (29 x 124) + 9

= 3596 + 9

= 3605.

Since L.H.S. = R.H.S.

Hence, the result is verified by the division algorithm.