Is there a formula that would return an integer from a division calculation?

For example:

A1 will contain a varying non integer

In A2 I would like to show the integer from dividing the value in A1 however, this division is limited by a set number.

If A1 = 2.962 this number should then be divided by, at most, 0.220 this would return 13.463 which is no use, I need it to return a whole number so, the formula would need to iterate down from 0.220 until it returns an integer in this case 14 for 0.211 or ideally return 16 for 0.185

I don't know if what I'm asking is even possible in excel, hopefully it is, I appreciate it may need more cells than A1 and A2 which fine.

Appreciate your advice