as you saw in the previous sectionnumbers with decimal points in them are of type float in python they are discussed more in floatsdivisionmixed types (page in early grade school you would likely say " divided by is with remainder of the problem here is that the answer is in two partsthe integer quotient and the remainder and neither of these results is the same as the decimal result python has separate operations to generate each part python uses the doubled division symbol /for the operation that produces just the integer quotientand introduces the symbol for the operation of finding the remainder try each in the shell / // % now predict and then try each of // % % // % / finding remainders will prove more useful than you might think in the futureoptional from here to the end of the sectionconsidering negative numbers in integer quotients and remaindersin grade school you were probably always doing such remainder calculations with positive integersas we have above this is all we are liklely to need for this course howeverthe remainder operation is defined for all integerseven negative divisor we will probably not need it in this coursebut try - - - - you can stop here and just beware mixing in negative numbers in your integer arithmeticor go on to fuller explanationgo back to positive numbers first divided by // is is the basic relationship is * dividend quotient divisor remainder we want that to always be true the issue is really with integer division when the dividend and divisor are not both positivethe value of this determines the remaindersolving aboveremainder dividend quotient divisor with positive numbers the integer quotient is always no bigger than the real quotient in its definitionpython requires that this is trueno matter what the signs of the operands /(- is - so //(- must be - (not greater than - )by the general relationship between quotients and remaindersthat forces (- (- )*(- - swapping the negative signs- is still - so - / is still - beginning with python