Let's solve the given expression step-by-step:
### Step 1: Simplify the Numerator
First, let's simplify the numerator of the expression:
[tex]\[ 11 + 42 - 5 \][/tex]
Begin by adding 11 and 42:
[tex]\[ 11 + 42 = 53 \][/tex]
Next, subtract 5 from the result:
[tex]\[ 53 - 5 = 48 \][/tex]
So, the simplified numerator is 48.
### Step 2: Simplify the Denominator
Now, let's simplify the denominator of the expression:
[tex]\[ 11 - 4 \][/tex]
Subtract 4 from 11:
[tex]\[ 11 - 4 = 7 \][/tex]
So, the simplified denominator is 7.
### Step 3: Divide the Numerator by the Denominator
Now, divide the simplified numerator by the simplified denominator:
[tex]\[ \frac{48}{7} \][/tex]
Finally, perform the division:
[tex]\[ \frac{48}{7} \approx 6.857142857142857 \][/tex]
### Final Result
Therefore, the result of the expression [tex]\((11 + 42 - 5) \div (11 - 4)\)[/tex] is approximately [tex]\(\boxed{6.857142857142857}\)[/tex].
