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When two numbers are divided, must the quotient be a cyclic decimal? why
When two numbers are divided, the quotient is not necessarily a cyclic decimal, because it may be π.

If two integers are divided, if the integer quotient cannot be obtained, there will be two situations: one is to get a finite decimal; The other is to get infinite decimals.

The infinite decimal of the previous number or part repeats in turn from a number after the decimal point. The abbreviation of cyclic decimal is to omit all the digits after the first cyclic segment, and add a dot above the first two digits and the last two digits of the first cyclic segment.

Extended data:

Considering that division and multiplication are reciprocal operations, the meaning of multiplication is a simple operation to find the sum of multiple identical addends. This situation can also be interpreted as: the divisor subtracts the divisor until the remainder value is lower than the divisor.

Dividing by two divisors in succession is equal to dividing by the product of these two divisors. Sometimes simple operations can be performed according to the nature of the division.

For example: 300 ÷ 25 ÷ 4 = 300 ÷ (25× 4) = 300 ÷100 = 3.