Einreichen.

The German verb 'einreichen' is a compound word formed from the prefix 'ein-' and the verb 'reichen'. The prefix 'ein-' generally means 'in', 'into', or 'one', indicating direction inwards or completion. It comes from Old High German 'in' and ultimately from Proto-Germanic '*in', and Proto-Indo-European '*en'. In the context of 'einreichen', it contributes to the idea of bringing something in or submitting it. The verb 'reichen' means 'to reach', 'to hand over', 'to pass', or 'to suffice'. It originates from Middle High German 'rechen' and Old High German 'reihhen', which in turn come from Proto-Germanic '*raikijaną', meaning 'to reach out, extend'. This root is also connected to English 'reach'. When combined, 'einreichen' literally implies 'to hand something in' or 'to reach something into' a designated place or to an authority. Over time, its meaning evolved to specifically refer to the formal act of submitting documents, applications, petitions, or other official papers to the appropriate body or person for consideration, approval, or filing. The word has been in use in this sense for centuries, reflecting the administrative and legal processes of German-speaking societies. Its structure and meaning are quite transparent to German speakers, making it a clear and direct term for the action it describes.