The first key phrase is "more than" This indicates that we should add two things.
... + ...
The two terms that are involved in the addition are: "5" and "the quotient of ... and ...". This is the second key phrase that we should divide two things before we add "5".
.../... + 5
Things that we are dividing are: "a number" and "4".
a number/4+5
The phrase "a number" is indicating an arbitrary number or a variable. If we call this number x, we can complete our expression.
Five more than the quotient of a numberand 4
x/4 + 5
Note that this is only one of multiple ways to algebraically express the given verbal expression.