To identify the next three numbers in the repeating decimal of the fraction [tex]\(\frac{5}{6}\)[/tex], we first note the repeating pattern of the decimal representation. The fraction [tex]\(\frac{5}{6}\)[/tex] converts to the decimal [tex]\(0.833333...\)[/tex], where "3" is the repeating digit.
Given this repeating pattern, the sequence continues with the digit "3" repeating indefinitely. Thus, the next three digits after the initial "8" and the first group of "3"s in the decimal fraction [tex]\(0.833333...\)[/tex] continue to be "3".
Therefore, the next three numbers following [tex]\(0.833333...\)[/tex] are:
[tex]\[ \boxed{3, 3, 3} \][/tex]
