By what number should 1365 be divided to get 31 as quotient and 32 as remainder?

Given: Dividend = 1365, Quotient = 31, Remainder = 32
Let the divisor be x.
Dividend = Divisor x Quotient + Remainder

$1365=x \times 31+32$

$\Rightarrow \quad 1365-32=31 x$

$\Rightarrow \quad 1333=31 x$

$\Rightarrow \quad x=\frac{1333}{31}=43$

Hence, 1365 should be divided by 43 to get 31 as quotient and 32 as remainder.