According to the additive and multiplicative properties of remainders, the remainder of this expression equals the remainder of $$(3\times1+3\times3)\div 5=12\div5=2 \text{R} 2$$ 
What is the remainder of $$(223\times311+198\times273)\div 5$$? 
  * $1$ 
  * $2$ 
  * $3$ 
  * $4$ 
  * $5$ 