\(\phantom{=\quad}\dfrac{x^5y^3}{xy^6}\\~\\ {=\quad}\dfrac{x\ x\ x\ x\ x\ \cdot\ y\ y\ y}{x\ \cdot\ y\ y\ y\ y\ y\ y}\\~\\ {=\quad}\dfrac{x\ x\ x\ x\ \not x\ \cdot\ \not y\ \not y\ \not y}{\not x\ \cdot\ y\ y\ y\ \not y\ \not y\ \not y}\\~\\ {=\quad}\dfrac{x\ x\ x\ x}{y\ y\ y}\\~\\ {=\quad}\dfrac{x^4}{y^3} \)
P.S. I like your profile picture