Arrange the following words in correct English alphabetical (dictionary) order:
$$\text{Cascade, Castle, Casual, Cashew, Cashmere, Castaway}$$

Let's arrange the words by comparing them letter by letter:
1. All words begin with "Cas".
2. Check the 4th letter:
* Cascade $\to$ 'c'
* Castle $\to$ 't'
* Casual $\to$ 'u'
* Cashew $\to$ 'h'
* Cashmere $\to$ 'h'
* Castaway $\to$ 't'

3. Sorting based on the 4th letter:
* 'c' comes first $\to$ Cascade
* Next is 'h' $\to$ Compare Cashew and Cashmere:
* Both have "Cash".
* 5th letter of Cashew is 'e', 5th letter of Cashmere is 'm'. Since 'e' comes before 'm':
* 2nd word: Cashew
* 3rd word: Cashmere

* Next is 't' $\to$ Compare Castle and Castaway:
* Both have "Cast".
* 5th letter of Castle is 'l', 5th letter of Castaway is 'a'. Since 'a' comes before 'l':
* 4th word: Castaway
* 5th word: Castle

* Next is 'u' $\to$ Casual (6th word).

The correct sorted dictionary order is:
Cascade, Cashew, Cashmere, Castaway, Castle, Casual.