The director may examine and investigate the affairs of every insurer doing business in this state in order to determine whether such insurer has been or is engaged in any unfair trade practice defined in section 44-1524. An insurer other than an agent, broker, or insurance consultant shall reimburse the department for the expense of examination in the same manner as provided for examination of insurance companies in the Insurers Examination Act. In the case of a depository institution, the director may examine and investigate the insurance activities of a depository institution in order to determine whether the depository institution has been or is engaged in any unfair trade practice defined in section 44-1524. The director shall notify the appropriate state or federal banking agency of the director’s intent to examine and investigate a depository institution and advise the appropriate state or federal banking agency of the suspected violations of state law prior to commencing the examination and investigation.