Detailed explanation of the remaining problem based on python (%)

The formula for taking the remainder:

Remainder = divisor-dividend * quotient

Python's remainder is calculated according to the quotient obtained by dividing (rounding down).

The remaining problems are mainly divided into:

Positive and positive, negative and negative, positive and negative, 0

Positive and positive numbers

# Big number/Decimal: Because the quotient obtained is the same as that obtained by dividing, directly follow this formula (remainder=divisor-被divisor*Quotient).
print(9//7) #1print(9%7)  #2

# Decimal/Large number: Because the quotient obtained is the same as the one obtained by dividing, directly follow this formula (remainder=divisor-被divisor*Quotient).
# It can also be said here: as long as the positive and positive numbers are decimals/For large numbers, the quotient is 0, so the remainder is itself.
print(7//9) #0print(7%9) #7

Negative and negative numbers

# Decimal/Large number: Because the quotient obtained is the same as the one obtained by dividing, directly follow this formula (remainder=divisor-被divisor*Quotient).
# Because negative negative makes positive, so the divisible result is 9//The value of 7 is 1, so the remainder is-9-（-7）=-2print(-9//-7) #1print(-9%-7)  #-2

# Big number/Decimal: Because the quotient obtained is the same as that obtained by dividing, directly follow this formula (remainder=divisor-被divisor*Quotient).
# It can also be said here: as long as it is a large number in the division of a negative number and a negative number/For decimals, the quotient is 0, so the remainder is itself.
print(-7//-9) #0print(-7%-9) #-7

0

# Since 0 cannot be the dividend, the quotient and remainder of 0 divided by any number (except 0) are all 0.

print(0%-1) #0print(0%1)  #0

Positive and negative numbers

# negative number/A positive number
#- 7 /9=-0.77..So the divisible value is-1, which is the value rounded down, and the remainder in python is calculated according to the quotient of the division, so the remainder is-7-（9*（-1））=2print(-7//9)  #-1 print(-7%9)  #2
# same-9/7=-1.285..So the divisible value is-2. The remainder-9-7*（-2）=5print(-9//7)  #-2print(-9%7)  #5

# A positive number/negative number
# The same 7/-9=--0.77..So the divisible value is-1, remainder 7-【-9*（-1）】=-2print(7//-9)  #-1print(7%-9)  #-2

# The same 9/-7=-1.285..So the divisible value is-2. The remainder is 9-【-7*（-2）】=-5print(9//-7)  #-2print(9%-7)  #-5

**Supplementary knowledge: python slicing and negative subscript **

[ a:b:c] represents the number set of gradually increasing c in [a,b) interval

Example: List: [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19]

[1:18:3] It means that the numbers from 1 to 17 start from 1 and increase by 3 one by one [1, 4, 7, 10, 13, 16]

Negative subscript articles

The above detailed explanation based on the python remaining problem (%) is all the content shared by the editor, I hope to give you a reference.