eintragen
to enter
To record information, such as a name or data, in writing in a list, form, book, or register.
Bitte tragen Sie Ihren Namen in die Anwesenheitsliste ein.
Please enter your name on the attendance list.

to enter / register
Loading your saved state.
to enter
To record information, such as a name or data, in writing in a list, form, book, or register.
Bitte tragen Sie Ihren Namen in die Anwesenheitsliste ein.
Please enter your name on the attendance list.

'Eintragen' (to enter / register) is a separable verb. The prefix 'ein-' comes at the end in a main clause. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Er trägt den Termin in seinen Kalender ein.
He enters the appointment in his calendar.
The verb is made up of 'ein-' and 'tragen' (to carry). The literal meaning is to 'carry' information into a document.
Bitte tragen Sie alle Daten sorgfältig in das Formular ein.
Please enter all data carefully in the form.
When you write your own name in a list, you use the verb reflexively: 'sich eintragen' (to sign up). The reflexive pronoun must be adjusted to the person (ich trage mich ein, du trägst dich ein, etc.).
Alle, die mitkommen wollen, müssen sich bis morgen eintragen.
Everyone who wants to come along must sign up by tomorrow.
In the meaning 'to bring a result,' the person who experiences the result is in the dative. The result itself is in the accusative.
Sein mutiges Handeln trug ihm viel Anerkennung ein.
His courageous actions brought him a lot of recognition.
This meaning is often used in legal or administrative contexts. Typical formulations are 'einen Verein eintragen lassen' (to have an association registered) or 'eine Marke beim Patentamt eintragen lassen' (to have a trademark registered with the patent office).
Nach der Gründung muss der Verein ins Vereinsregister eingetragen werden.
After its founding, the association must be entered in the register of associations.
to write
'schreiben' and 'eintragen' both have to do with written information. 'schreiben' is general: you form letters, words, or whole texts. 'eintragen' is used when information goes in a specific place, for example in a list, form, calendar, or register. It is often about names, appointments, or data. Learners may confuse the words because when you 'eintragen' something, you also write. The difference is: 'schreiben' emphasizes the action or the text, while 'eintragen' emphasizes the correct place in a list or form.

Ich trage den Termin in meinen Kalender ein, damit ich ihn nicht vergesse.
I enter the appointment in my calendar so I don't forget it.
Zum Üben schreibt ihr im Urlaub jeden Morgen ein paar Sätze ins Heft.
For practice, you write a few sentences in your notebook every morning while on vacation.