The clerks who are responsible by law or court rule for collecting court costs shall strictly examine the accounts of all court costs accruing during the progress of any civil suit pending in divisions for which they are responsible for collecting court costs, and shall correct the same if wrong in any manner, and shall thereupon enter the amount thereof upon their records; and if the person or persons and their sureties for costs properly chargeable with such court costs shall neglect or refuse to pay the amount thereof, and costs for issuing and serving the same, within thirty days after demand, the clerk shall take such action to collect such fees as provided by sections 488.010 to 488.020^*.