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#Python

#Advantages:

• Go as Precise as you want or can handle

• Find out the repetitiveness from the quotient

• Fast

Late to the party but here you go:

def ManualDivision(Dividend, Divisor, acQPrecision, BreakOnRepetitive):
   
    Repetitive = False
    RepetitiveIndex = 0
    bcQComplete = False
    acQComplete = False
    bcQ = ''   #before comma Quotient
    acQ = ''   #after comma Quotient
    history = []
    a = 0
    b = 0
    
    while (not bcQComplete or not acQComplete):
        if not bcQComplete:
            for digit in map(int, str(Dividend)):
                a = int(str(a) + str(digit))
                if a in history:
                    if not Repetitive:
                        Repetitive = True
                        RepetitiveIndex = len(history) - len(bcQ)
                    if BreakOnRepetitive:
                        break
                else:
                    history.append(a)
                if a < Divisor:           
                    b = 0
                    bcQ += '0'
                else:
                    pQ = 0
                    result = a - Divisor
                    while result >= 1:
                        pQ += 1
                        result -= Divisor
                    b = pQ * Divisor
                    bcQ += str(pQ) 
                a -= b
            bcQComplete = True
    
        if not acQComplete:
            acQPrecision -= 1
            if acQPrecision <= 0:
                acQComplete = True
            a = int(str(a) + str('0'))
            if a in history:
                if not Repetitive:
                    Repetitive = True
                    RepetitiveIndex = len(history) - len(bcQ)
                if BreakOnRepetitive:
                    break
            else:
                history.append(a)
            if a < Divisor:
                b = 0
                acQ += '0'
            else:
                pQ = 0
                result = a - Divisor
                while result >= 1:
                    pQ += 1
                    result -= Divisor
                b = pQ * Divisor
                acQ += str(pQ) 
            a-=b
       return '{0}.{1} \nRepetitive: {2} from position {3} acQ \nHistory:{4}'.format(bcQ, acQ, Repetitive, RepetitiveIndex, history)

#Result Quotient = ManualDivision(91,256,100,False) #Dividend = 91, Divisor = 256, precision= 100, breakonprecision=False print(Quotient)

00.3554687499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999

Repetitive: True from position 9 acQ

History:[9, 91, 910, 1420, 1400, 1200, 1760, 2240, 1920, 1280, 2560]