Toss a Coin, Bow twice, Clap hands twice, and Pray / Wish, then Bow once
Worship manners are sometimes confusing even Japanese. Let's take a look how to do it before you visit a Japanese shrine, when you complete the proper procedure of "wishing", might feel much closer to the deity enshrined.
Coin offering is not a mandatory, however most of people toss coins usually
Coins offering is not a mandatory, however I have never seen the person wishing / praying without offering a coin. If you wish to experience Japanese culture, it doesn’t hurt to do it.
Tossing a coin into an offertory-box normally "5 Yen" coin is good
Usually, people tossing 5 Yen coin into the offertory-box, the pronunciation of "5 Yen" in Japanese is "Go-en", that means "Relationship". People wish for Good "Go-en" in front of the deity enshrined.
When is the timing of ring a bell?
You see a big bell hung in front of an offertory-box, actually there is no clear answer for the timing, usually people ring it after coin tossing.