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 $$(223\times311+198\times273)\div 5$$? ． 
Options:
  - $1$ 
  - $2$ 
  - $3$ 
  - $4$ 
  - $5$ 