Python polynomial division - wrong remainder output - python-3.x

Question

I made this polynomial division program, and it works just fine for float() values.
The script is supposed to be called using cmd like this: python main.py input.txt
The file input.txt contains two lines of numbers which the script converts to two lists of polynomial coeficients. So when the first line of input.txt is , say, 1 5 3 7, the script reads the line as 1x^0 + 5x^1 + 3x^2 + 7x^3.
When the program reads the text.txt it does the division and prints out two lines, the first being the result and the second being the remainder.
So basically if input.txt contains these lines:
0 12 -2 -4
3 -2
The program prints:
0 4 2
0
Where the first line is the result and the second one the remainder.
Now here's the code:
import sys
text = open(sys.argv[1])
dividend = list(text.readline().split())
divisor = list(text.readline().split())
for i in range(0, len(divisor)):
divisor[i] = int(divisor[i])
for i in range(0, len(dividend)):
dividend[i] = int(dividend[i])
def polynomial_division(dividend, divisor):
divid = dividend
divis = divisor[0]
for v in range(len(dividend)-(len(divisor)-1)):
divid[v] /= divis
coef = divid[v]
if coef != 0:
for i in range(1, len(divisor)):
divid[v + i] += -divisor[i] * coef
separator = -(len(divisor)-1)
output = (divid[:separator])
remainder = (divid[separator:])
print(*output, sep=' ')
print(*remainder, sep=' ')
polynomial_division(dividend, divisor)
However my teacher said the output should be int() values, so I modified it with the // operator and now the output contains int() values.
import sys
text = open(sys.argv[1])
dividend = list(text.readline().split())
divisor = list(text.readline().split())
for i in range(0, len(divisor)):
divisor[i] = int(divisor[i])
for i in range(0, len(dividend)):
dividend[i] = int(dividend[i])
def polynomial_division(dividend, divisor):
divid = dividend
divis = divisor[0]
for v in range(len(dividend)-(len(divisor)-1)):
divid[v] //= divis
coef = divid[v]
if coef != 0:
for i in range(1, len(divisor)):
divid[v + i] += -divisor[i] * coef
separator = -(len(divisor)-1)
output = (divid[:separator])
remainder = (divid[separator:])
print(*output, sep=' ')
print(*remainder, sep=' ')
polynomial_division(dividend, divisor)
But when the input.txt contains:
5 -3 6 2 -8
2 0 3 4
The output is:
2 -2
0 0 0
Which means the output is wrong as it should be:
2 -2
1 1
So my question is, what did I do wrong?