Today, only two countries in the world use currencies which have subdivisions that are a non-decimal fraction of their main unit. These two countries are Mauritania (1 ouguiya = 5 khoum) and Madagascar (1 ariary = 5 iraimbilanja).
It is hence problematic to give the following list - it is a list of examples picked from different periods. Many of the subdivisions given bellow were sujected to historical changes.
The Russian ruble is often said to be the first decimalized currency, when Peter the Great established the ratio 1 ruble = 100 kopecks in 1701. The Japanese were in some sense earlier calculating with the silver momme and its decimal subunits - but then the momme was no coin at all but a unit of weight matching 3.75 g - the computations handled silver by weight. The British Pound Sterling was the last major currency to be decimalized, on February 15, 1971. An early proposal for decimalizing the pound in the 19th century envisaged a system of 1 Pound = 10 Florins = 100 Dimes = 1000 Cents. However the only step taken at that time was the introduction in 1849 of a florin coin (the earliest examples actually bore the inscription "One Tenth of a Pound").
A partial listing of former non-decimal currencies (giving only units of account):
See The Marteau Early 18th-Century Currency Converter for non-decimal conversion tools (using the conversion rates of the period around 1700)
Computations in non-decimal currencies are notoriously tedious. Use The English Apples into Dutch Peers-Converter to calculate with non-decimal currencies of your choice and definition.
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"Non-decimal currencies".
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