The phrase 'day went by' is correct and usable in written English.
It can be used to describe the passing of time, for example: "The days went by slowly as we waited for our vacation."
I must point out that not a day went by without us trying various ways to bring Gilad home, any way possible, and that didn't work either.
The fever grew worse as the day went by.
A day went by, we held our breath.
"Never a day went by that he didn't tell me he loved me.
"Not a day went by that she didn't make me laugh".
There wasn't a single day went by when I didn't see him enjoy it.
So a whole day went by in which Vaz didn't appear once on television?
Barely a day went by in 2015 without students hitting the headlines.
Not a day went by that they did not miss their hometown, Ms. Zhang said.
Day after day went by without any usable footage being shot, storms and seasickness the film-makers' only reward.
In recent months, hardly a day went by without innocent civilians being murdered and maimed in acts of wanton terror.
