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What is the remainder of $$(223\times311+198\times273)\div 5$$? ． 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Characteristics of Remainder 
According to the additive and multiplicative properties of remainders, the remainder of this expression equals the remainder of $$(3\times1+3\times3)\div 5=12\div5=2 \text{R} 2$$ 