SMS (of 160 characters or less) breaking up automatically into three messages in browser display!

I'm having exactly the same problem. I have no idea whether the recipients see broken text messages, or whether they get reassembled.
In any case, this seemed to work until I changed to a different SMS app on my phone (SimplySMS). I am using a Sony Xperia Z1 Compact running Android 4.4.4.

Exact same problem.
The text messaging app I'm using is Textra v2.20, on a LG G3 phone running Android 4.4.2. AirDroid APK v3.0.2, and I have no idea what version the web client is because it doesn't tell me.

And? No solution?
I'm asking, beacuse I have the same problem noticed on my Samsug S III Neo. I checked it - message is diivided to "67 characters" parts.
But as I know, recipients see normal text message (in one "package").
P.S. Sorry for my English :-)

Sorry that long SMS will split into several parts on your side if you are using Android 4.4.x. But the recipient will receive it as a whole long message.

As Google has changed the mechanism of Android, if your phone is running Android 4.4+, a long text message will be split into several parts on your side while the recipient receives one whole message. We did try to find a workaround to this problem, but due to technical limitations, we didn’t find a perfect solution. However, we’ll keep on searching for a fix. 

Sorry again for any inconvenience this may have caused