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# On dividing a certain number by $234$ we get $43$ as remainder. If the same number is divided by $13$ What will be the remainder .

$\begin{array}{1 1} 6 \\ 9 \\ 4\\ 7 \end{array}$

Suppose that on during the given number by $234$
then number $=234 \times x +43$
$(13 \times 18 x) +(13 \times 3) +4$
=> $(13 \times (18 x+3) +4$
Hence when the number is divided by $13$ we get 4 as reminder.