Upon graduation, he worked for around a year as a state investigator in the Barysaw and later Myadzyel districts.[2] In 1965, he was elected as a judge in the Myadzyel court.[3]
In 1967, a mob burned down the court building in Slutsk in response to what they believed was a miscarriage of justice. The crowd was protesting the court's attempt to protect a party worker who had committed murder, and in the process, they killed the head of the court.[4] As a result, Dashuk was appointed as the new head of the Slutsk court in 1968.[3] In 1976, he was promoted to the Supreme Court of the Byelorussian SSR.[5] There, he dealt with criminal cases, including presiding over the trials of former Nazi collaborators.[6]
Dashuk left the court in 1990 and moved to the Ministry of Justice, serving first as its deputy head before becoming its chief on 21 February 1991.[3] As its head, he was formally responsible for suspending the activity of the Byelorussian Communist Party in 1991.[7]
In 1992, while still serving as minister, Dashuk was appointed to the Economic Court of the CIS.[2] After leaving his position in the government on 4 February 1994,[8] he was elected as the court's first chairman.[5] Upon his election, he stated that the court would narrowly focus on economic matters.[9] Dashuk retired in 1997.[5]
After retirement, he remained active as a member of the Belarusian Lawyers' Union[10] and criticized the narrow scope of the Economic Court.[11][12]