ESTA form: Mention the city district in the contact information section?

I have a question regarding the ESTA form, specifically about step 3 "Personal Information", section "YOUR CONTACT INFORMATION": Should I insert the city district in address line 2, while address line 1 contains the street name and the city itself is specified in another field? Or should I insert it somewhere else or not at all?

The background is the following:

• My German passport has in the field "Residence" two lines: The first line is the city name and the second line is the name of the district of the city. Moreover on my German identity card my full address is listed in the three-line scheme "postcode | city\ city district\ street | number". Because the city district is listed such prominently on my ID card and on my passport, I am wondering if I should mention it in my ESTA application in order to avoid problems at the immigration.
• If one hovers over address line 2 in the ESTA form the following text is displayed: "In the address line 2 field enter floor, building, or other, as appropriate. Do not include the city or the state in this field. Address line 2 is optional to complete the application." (Bold print was inserted here by me.)

Therefore, I am wondering if and where I should insert the city district's name.