使用异步任务或线程来执行数据库操作。下面是一个使用异步任务的示例：

public class YourViewModel extends AndroidViewModel {
    private YourDatabase yourDatabase;
    private LiveData> yourEntityList;

    public YourViewModel(@NonNull Application application) {
        super(application);
        yourDatabase = YourDatabase.getInstance(this.getApplication());
        yourEntityList = yourDatabase.yourDao().getAllYourEntity();
    }

    public LiveData> getAllYourEntity() {
        return yourEntityList;
    }

    public void insert(YourEntity yourEntity) {
        new insertAsyncTask(yourDatabase.yourDao()).execute(yourEntity);
    }

    private static class insertAsyncTask extends AsyncTask {
        private YourDao yourDao;

        insertAsyncTask(YourDao dao) {
            yourDao = dao;
        }

        @Override
        protected Void doInBackground(final YourEntity... params) {
            yourDao.insert(params[0]);
            return null;
        }
    }
}

在这个示例中，ViewModel 使用异步任务来插入数据库。您可以调用 ViewModel.insert() 方法将您的实体插入数据库中。为了监视数据变化，ViewModel 使用 LiveData 来观察查询结果。