Sorry, i am not gonna draw the map for you. When i do that for my own games, i often take more than an hour to do so.
So i will give you some guidelines instead:
count the number of USEFULL tiles you have available. If you have no coast, divide this number by 13 to get the amount of cities you need (1 for city + 12 citizens for every city)
If you have a lot of coast line, you can divide it by 10 or so and expect your coastal cities to use 3-4 sea tiles (more than that would cause a production too low to be practical)
with usefull i mean substracting mountains if there are more than a very few (you can work 1 or 2 mountain tiles in a city, but not more) or small patches of desert that wont be used at all. Large parts of deserts get a seperate city that is build very last and only there to prevent the AI from settling inside your area.
If you are playing c3c, you don't need to place your cities in any pattern. Just take the best spots and there is no problem if some of your cities are at CxC distance while others are at CxxxxC. As long as they are reasonably spread over your empire.
This will alow you to place many cities on rivers. Moving the citizens around abit will still alow you to use all tiles in your rmpire.
If you play pre c3c, a city ring is advisable and things get much more complicated.
In this picture, compared to tomoyo, i would try to place less cities in the south as they will only be there to fill the lands but will never be productive with the desert and mountains.
I know some people actually build more cities in such areas as they can only grow size 3, but that will create many cities with 5 or less production. These cities are pretty useless and not worth the investment of a settler (2 pop) from your core cities.
So just calculate the amount of cities and choose the nicest spots as long as they are reasonably spread over your empire in large scale (small scale the don't need to be spread so well as i tried to explain)
good spots are:
-coast
-on river
-not on bonus
-not on hills if you have few hills
-definately on hills if you have many hills
-food accesable to a city with best corruption rank possible with production opportunities as well.