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The difference is that rational numbers stay with the same numbers. Like the decimal 1.247247247247... While an irrational number is continuous but does not keep the same numbers. Like the decimal 1.123456789...
It belongs to the set ofrational numbers,decimal fractions,improper fractions (in decimal form),real numbers,complex numbers,quaternions.
They can be integers, rational numbers or even approximations for irrational numbers.
If you convert them into decimal form you can say there are terminating decimals, there are the integers, and there are repeating decimals. EX: 2.4 is a terminating decimal. 2.44444444... is a repeating decimal. 2 is an integer. all are rational numbers.
Exactly the way you would divide them if they were whole numbers and not decimals. The only extra trick to learn is how to decide where to put the decimal point in the quotient.