Solution
given that
$$2^{45}$$\5 = 2 $$\times$$ $$2^{44}$$\5 = 2$$\times$$ $$2^{4}$$ $$\times$$ $$2^{11}$$ \5
$$2^{4}$$ $$\times$$ $$2^{11}$$ \5 = 1
then
2 is the remainder Answer
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