Sure, let's solve the division problem step-by-step:
1. Understand the Problem:
We need to divide [tex]\( +5168 \)[/tex] by [tex]\( -76 \)[/tex].
2. Set Up the Division:
The division can be set up as follows:
[tex]\[
5168 \div (-76)
\][/tex]
3. Direction of the Quotient:
We know that dividing a positive number by a negative number will result in a negative quotient.
4. Perform the Division:
Now, determine the magnitude of the quotient:
[tex]\[
5168 \div 76 = 68
\][/tex]
Since one of the numbers is negative (the divisor), the result is negative. Therefore, we assign the negative sign to our quotient.
5. Final Answer:
[tex]\[
5168 \div (-76) = -68
\][/tex]
Hence, the result of [tex]\(+5168 \div (-76)\)[/tex] is [tex]\( \boxed{-68.0} \)[/tex].
