The clause "how would I go about doing that" is correct and usable in written English. You can use it to inquire about how to accomplish something in a polite and courteous way, for example: "I'm not sure how to operate the new printer. How would I go about doing that?".
How do I go about doing that?
How might I go about doing that?" and a new train of thought will start.
How else do I go about doing that, if not with a pushchair that turns into a bike?
How would I go about starting that conversation?
How would I go about it?
How would I go about finding such a job?
So how would you go about doing that?
How would they go about doing that?
"Ban Bossy?" How would you even go about doing that and why would you want to?
How do you think I should go about doing that?
How do you go about doing that?
Awesome tool! I started using it one year ago and I never had to look for another app
Ha Thuy Vy
MA of Applied Linguistic, Maquarie University, Australia