How to calculate the modulus of a big number on a calculator?

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I would like to calculate the modulus of a large number using my calculator. Considering my calculator does not support the modulus operator, I have no other choice than using this method:

To Calculate:

$41mod5$

1) I start by dividing the number by the modulus

$41 / 5=8.2$

2)Remove the integer part of the answer

$0.2$

3) Multiply by the modulus

$0.2 * 5 = 1$

This method works great for small modulus calculations, but I can't wrap my head around how to do it with bigger numbers since I can't get the non-integer part of the number

To Calculate:

$785^{13}mod1763$

1) I start by dividing the number by the modulus

$4.298387234*10^{37}$

2) Remove the integer part of the answer

???

$\endgroup$ 5 Reset to default

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