abwickeln
to process
To carry out and complete a process, transaction, or task according to plan.
Die Bezahlung wird komplett online abgewickelt.
The payment is processed completely online.

to process / unwind / liquidate
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to process
To carry out and complete a process, transaction, or task according to plan.
Die Bezahlung wird komplett online abgewickelt.
The payment is processed completely online.

'Abwickeln' (to process/unwind/liquidate) is a separable verb. The prefix 'ab-' separates from the verb in a main clause and stands at the end. In subordinate clauses and in the infinitive with 'zu', the verb stays together.
Die Firma wickelt das Geschäft schnell ab.
The company processes the transaction quickly.
You can recognize the meaning of 'abwickeln' from the object. If it is a physical object such as a rope or thread, the literal meaning 'abrollen' (to unroll) is meant. With abstract things such as a transaction, a purchase, or a company, it is about the figurative meaning 'durchführen' (to carry out/process) or 'auflösen' (to dissolve/liquidate).
Der Elektriker wickelt das Kabel von der Rolle ab.
The electrician unwinds the cable from the reel.
In a business context, 'abwickeln' (to process) is often combined with financial or organizational processes. Typical phrases are 'einen Kauf abwickeln' (to process a purchase), 'eine Transaktion abwickeln' (to process a transaction), or 'den Zahlungsverkehr abwickeln' (to handle payment transactions).
Der gesamte Bestellprozess wird online abgewickelt.
The entire ordering process is handled online.
The meaning 'eine Firma auflösen' (to dissolve/liquidate a company) belongs to business and legal language. It describes the formal process of closing a company.
Der insolvente Konzern wird von einem Spezialistenteam abgewickelt.
The insolvent corporation is being liquidated by a team of specialists.
to found / be based on
'gründen' and 'abwickeln' can both have to do with companies or organizations, but they describe opposite phases. 'gründen' is used when something new is created, for example a company or an association. 'abwickeln' here means that a company or organization is dissolved and its remaining business is settled in an orderly way. In short: with 'gründen', something begins; with 'abwickeln', it ends.

Die alte Firma wird abgewickelt, weil sie keine Aufträge mehr bekommt.
The old company is being liquidated because it no longer gets any orders.
Nach dem Studium möchte Lena eine eigene Firma gründen.
After university, Lena wants to found her own company.