The Vote

In Acts 1:26 we read:

“And they gave forth their lots; and the lot fell upon Matthias; and he was numbered with the eleven apostles.”

The word numbered is sugkatapsēphizō

Thayer Definition:
1) be depositing a ballot in the urn (i.e. by voting for) to assign one a place among, to vote one a place among
2) to vote against with others, i.e. to condemn with others
Part of Speech: verb

In Acts 14: 22-23 note:
“Confirming the souls of the disciples, and exhorting them to continue in the faith, and that we must through much tribulation enter into the kingdom of God. And when they had ordained them elders in every church, and had prayed with fasting, they commended them to the Lord, on whom they believed.”

The word ordained is cheirotoneō

Thayer Definition:
1) to vote by stretching out the hand
2) to create or appoint by vote: one to have charge of some office or duty
3) to elect, create, appoint
Part of Speech: verb

The role of the local churches not the apostolic office is emphasized in Acts 18:16-24:

…thanks be to God, which put the same earnest care into the heart of Titus for you.
For indeed he accepted the exhortation; but being more forward, of his own accord he went unto you. And we have sent with him the brother, whose praise is in the gospel throughout all the churches; And not that only, but who was also chosen [or voted, cheirotoneō as we have previously looked at in Acts 14:23] of the churches to travel with us with this grace, which is administered by us to the glory of the same Lord, and declaration of your ready mind: Avoiding this, that no man should blame us in this abundance which is administered by us: Providing for honest things, not only in the sight of the Lord, but also in the sight of men. And we have sent with them our brother, whom we have oftentimes proved diligent in many things, but now much more diligent, upon the great confidence which I have in you.
Whether any do enquire of Titus, he is my partner and fellowhelper concerning you: or our brethren be enquired of, they are the messengers of the churches, and the glory of Christ. Wherefore shew ye to them, and before the churches, the proof of your love, and of our boasting on your behalf.

Doing church, as instructed in 1Corinthians, should be decent and orderly (cf. 1Cor.14:40). If you are a member of a local church you have a responsibility to God and the church to fast pray and vote, this is how the church moves forward.