Fiqh-us-Sunnah Volume 3, Zakaat and Fasting, Fiqh 3.051.

According to ash-Shaf’i, the distribution of khums is similar to the distribution of zakah. Ahmad and al-Baihaqi narrate from Bishr al-Khath’ami that a man from his tribe said: “While I was in Kufah, I received a jar from an old monastery at the zakah district (jibayah) of Bishr. There were 4,000 dirhams in it. I took it to ‘Ali, who told me to divide it into five parts, which I did. Then, ‘Ali took one-fifth and gave me four-fifths. When I departed, he called me and asked if there were some needy people living near me. I replied that there were, and he asked me to divide the one-fifth among them.” Abu Hanifah, Malik, and Ahmad are of the opinion that its distribution is similar to the distribution of booty (fay’).

Ash-Shu’bi narrates that a man, while he was out of Madinah, found 1,000 dinars in the ground. He brought them to ‘Umar ibn alKhattab, who took the khums of 200 dinars and gave the man the rest. ‘Umar started to distribute the 200 dinars among the Muslims who were present. Since a little bit was left over, he then asked: “Where is the owner of the dinars?” When the man responded, ‘Umar said to him: “Take these dinars, for they are yours.” In alMughni, it says that if it were like zakah, he would have allotted it to those who deserved it and would not have returned it to its finder. Furthermore, rikaz can be given to the zhimmi, whereas zakah is not.