Split cell value based on number, after every number appereance in cell

Hello everyone,
I need to split the text from a cell that contains numbers after every appereancesugge of a number.
In cell A1 i have this text : "1515 Provizioane pentru pensii şi obligaţii similare 1516 Provizioane pentru impozite"
I need to split it in 2 cells : first cell value "1515 Provizioane pentru pensii şi obligaţii similare", second cell value "1516 Provizioane pentru impozite"
This is a chart of accounts data, that means for every number a have a corresponding text.
It can be multiple instances of this pattern in a cell, not only 2.
I wrote a formula that extracts the text based on the final number, but that doesnt help me.
I also wrote a formula to extract only the numbers from a cell, and one that extract their position in the cell (1515 would be 1, 1516 would be 8).

I attached an example file with data and my formulas and the desired result.

Any type or help or suggestion is welcomed.

Thank you very much.

Interesting approach,
Thank you very much, this is perfect for what i need, i dont mind the "brute force"

Please try

=LET(z;A2;s;SEQUENCE(;LEN(z));y;(MID(" "&z;s;1)=" ")*ISNUMBER(--MID(z;s;1));x;FILTER(s;y);MID(z;x;IFERROR(SMALL(x;SEQUENCE(;COUNT(x);2));999)-x))

It works, this is amazing !
Thank you very much