How to write a LAMBDA function in Excel for this recursive calculation

[STS2]

I'm trying to come up with a LAMBDA formula that captures the following recursive calculation:

Column A has 40 rows with integers between 1 and 40. Column B divides each integer in column A by 6 and rounds it up. Column C divides each integer in column B by 6 and rounds it up. This continues until the integer is 1 or less, and then I want the sum of the full row for a given integer. So, for example, for the number 25 in column A, I get 6 (5 from column B and 1 from column C). For the number 40 in column A, I get 10 (7 from column B, 2 from column C, 1 from column D).

Is it possible to come up with a LAMBDA function that would get me the correct output for a given number in column A?

 

[Fluff]

Hi & welcome to MrExcel.
How about

=LAMBDA(Num,Div,[Tot],LET(Res,ROUNDUP(Num/Div,0),a,Tot+Res,IF(Res=1,a,MySum(Res,Div,a))))

And used like

Fluff.xlsm
	A	B	C	D
1
2		6
3		25		6
Time Entry

Cell Formulas
Range	Formula
D3	D3	=MySum(B3,B2)