Arrangement comprising a machine tool with a chuck rotatable about a chuck axis, a measuring device with two sensor units, a robot arm with a gripping device and a control device, wherein the measuring device is configured to be attached to the chuck such that both sensor units are assigned to different measurement locations (M1, M2) along the chuck axis of the chuck, wherein each sensor unit is configured to measure a distance of the workpiece outer surface of a workpiece from the chuck axis and to transmit a measurement signal (S1, S2) characterizing this distance to the control device, and wherein the control device is configured to carry out the following steps: a) Control of the robot arm for gripping the workpiece, b) Control of the robot arm for positioning the workpiece in the range of the measurement locations (M1, M2) of the sensor units adjacent to the chuck, c) Control of the robot arm for positioning the workpiece based on the measurement signals (S1, S2) such that the deviation between a workpiece axis of the workpiece and the chuck axis is within a predefined tolerance range, wherein the chuck and the measuring device attached thereon are in a first rotation position about the chuck axis. d) Control of the machine tool for rotating the chuck and the measuring device arranged thereon about the chuck axis into a second rotation position different from the first rotation position, and e) Checking of the position of the workpiece based on the measurement signals (S1, S2) whether the deviation between the workpiece axis and the chuck axis is within a predefined tolerance range and if not control of the robot arm for positioning the workpiece such that the deviation between the workpiece axis and the chuck axis is within a predefined tolerance range, wherein the chuck and the measuring device arranged thereon are in the second rotation position about the chuck axis. wherein the measuring device is configured to be attached to the chuck such that both sensor units are assigned to different measurement locations (M1, M2) along the chuck axis of the chuck, wherein each sensor unit is configured to measure a distance of the workpiece outer surface of a workpiece from the chuck axis and to transmit a measurement signal (S1, S2) characterizing this distance to the control device, and wherein the control device is configured to carry out the following steps: a) Control of the robot arm for gripping the workpiece, b) Control of the robot arm for positioning the workpiece in the range of the measurement locations (M1, M2) of the sensor units adjacent to the chuck, c) Control of the robot arm for positioning the workpiece based on the measurement signals (S1, S2) such that the deviation between a workpiece axis of the workpiece and the chuck axis is within a predefined tolerance range, wherein the chuck and the measuring device attached thereon are in a first rotation position about the chuck axis. d) Control of the machine tool for rotating the chuck and the measuring device arranged thereon about the chuck axis into a second rotation position different from the first rotation position, and e) Checking of the position of the workpiece based on the measurement signals (S1, S2) whether the deviation between the workpiece axis and the chuck axis is within a predefined tolerance range and if not control of the robot arm for positioning the workpiece such that the deviation between the workpiece axis and the chuck axis is within a predefined tolerance range, wherein the chuck and the measuring device arranged thereon are in the second rotation position about the chuck axis. a) Control of the robot arm for gripping the workpiece, b) Control of the robot arm for positioning the workpiece in the range of the measurement locations (M1, M2) of the sensor units adjacent to the chuck, c) Control of the robot arm for positioning the workpiece based on the measurement signals (S1, S2) such that the deviation between a workpiece axis of the workpiece and the chuck axis is within a predefined tolerance range, wherein the chuck and the measuring device attached thereon are in a first rotation position about the chuck axis. d) Control of the machine tool for rotating the chuck and the measuring device arranged thereon about the chuck axis into a second rotation position different from the first rotation position, and e) Checking of the position of the workpiece based on the measurement signals (S1, S2) whether the deviation between the workpiece axis and the chuck axis is within a predefined tolerance range and if not control of the robot arm for positioning the workpiece such that the deviation between the workpiece axis and the chuck axis is within a predefined tolerance range, wherein the chuck and the measuring device arranged thereon are in the second rotation position about the chuck axis.