The “due order” was that the ark should be borne on the shoulders of Kohathite Levites - not that it should be placed upon a cart, drawn by oxen, and rudely shaken.
Related Commentaries of 1 Chronicles 15:13
1 Chronicles 15:13
13 For because ye did it not at the first, the LORD our God made a breach upon us, for that we sought him not after the due order.