The Holy Mass, that is, the liturgical service of the Church in which we celebrate the Holy Supper of Our Lord, or what books like Lutheran Worship, and perhaps also Lutheran Service Book, call the "Divine Service," is not in fact the only example of the Divine Service of the Church. Divine Service embraces all of the public, that is, liturgical, worship of Christ's Church. Aside from the occasional rites of the Church, the other major example of Divine Service, which deserves more attention today, is the Divine Office, in its various 'Hours.' One supposes, and hopes, that the popular reference to the Mass today as "Divine Service" is done to make a theological point (and not, say, a way to avoid using that terrible, Catholic sounding name, Mass), that point being to emphasize that in the Mass God serves, indeed, lavishes us with His grace and His truth. Therefore my comments here are not aimed in criticism of the trendy use of the term Divine Service as a reference to the Mass. We should emphasize, however, that the Holy Mass is not merely Divine Service, but the Chief Divine Service. The Church has always known this to be the case, and so has the Lutheran tradition in particular.
The Church, at her best, cannot imagine living without her Eucharistic Lord. Is it possible to academically dispute the question of whether the Church can live without the Eucharist? Yes. More importantly, it is simply not a question that the Bride of Christ sees as relevant. From her perspective as Church, or likewise from the Christian's perspective as Christian, the bride longs to be with her Redeemer and Lord; her marital identity is hidden in Him, and He is her life itself.
Considering the Church from her other perspective in this world, the perspective of the fallen flesh of her members, she, or similarly the Christian member, is in constant need of the forgiveness of sins, and of renewed strength for a faltering faith. We receive from our Lord Jesus every good thing, which is to say that from Him we receive the forgiveness of our sins, and all that comes with it, that is, life, and salvation.
Therefore it is good, wise, immeasurably beneficial, and simply in keeping with its very nature, for the Church to celebrate the Holy Supper often. In their effort to test the boundaries, for whatever reasons, of how infrequent we can have the Eucharist and still be church, some churches truly do resemble something less than the church, something more like a merely social institution. On the other end of the spectrum, there is the danger of celebrating the Eucharist often yet for the wrongs reasons, or with less than the utmost reverence which it deserves. Of course these dangers accompany the infrequent celebration of the Supper as well. Having said all this, it is deeply valuable and praiseworthy for our pastors to actively (which means really, and not merely theoretically) increase the frequency of the celebration of the Mass at our altars, and to constantly work at improving the reverence and solemnity of our worship. (Such would be just one of the benefits of also promoting Private Confession more actively.) This is the work of genuine pastoral care.
My own work schedule does not always allow me to attend Mass on a daily basis at my church, but I very much appreciate that it is offered daily. At our church, the priest stands daily at the altar, at 9 A.M., inviting some to Communion, and keeping others away. I both encourage others to work toward doing likewise, and invite any who happen to ever find themselves in the area to join us.