A division bench of Apex Court held the following principles in regards to approaching a High Court under Article 226 of the Constitution.

From Para 27,

27 The principles of law which emerge are that :
(i) The power under Article 226 of the Constitution to issue writs can be exercised not only for the enforcement of fundamental rights, but for any other purpose as well;
(ii) The High Court has the discretion not to entertain a writ petition. One of the restrictions placed on the power of the High Court is where an effective alternate remedy is available to the aggrieved person;
(iii) Exceptions to the rule of alternate remedy arise where (a) the writ petition has been filed for the enforcement of a fundamental right protected by Part III of the Constitution; (b) there has been a violation of the principles of natural justice; (c) the order or proceedings are wholly without jurisdiction; or (d) the vires of a legislation is challenged;
(iv) An alternate remedy by itself does not divest the High Court of its powers under Article 226 of the Constitution in an appropriate case though ordinarily, a writ petition should not be entertained when an efficacious alternate remedy is provided by law;
(v) When a right is created by a statute, which itself prescribes the remedy or procedure for enforcing the right or liability, resort must be had to that particular statutory remedy before invoking the discretionary remedy under Article 226 of the Constitution. This rule of exhaustion of statutory remedies is a rule of policy, convenience and discretion; and
(vi) In cases where there are disputed questions of fact, the High Court may decide to decline jurisdiction in a writ petition. However, if the High Court is objectively of the view that the nature of the controversy requires the exercise of its writ jurisdiction, such a view would not readily be interfered with.

Citations : [2021 SCC ONLINE SC 334]

Other Sources :

https://indiankanoon.org/doc/62362537/

https://www.casemine.com/judgement/in/60806fd6125abdf1726ab6fb