Enter the dividend and divisor to calculate the quotient (integer division) and remainder.
In mathematics, when one integer (the dividend) is divided by another integer (the divisor), the result consists of a quotient and a remainder. The quotient is the integer result of the division. The remainder is the leftover value after division. The relationship between these elements is expressed by the formula: \( Dividend = Divisor \times Quotient + Remainder \) Additionally, the remainder must always be less than the divisor.
Quotient: Divide the dividend by the divisor and round down to the nearest whole number.
Remainder: Subtract the product of the quotient and the divisor from the dividend. \( Remainder = Dividend - Divisor \times Quotient \)
Solution:
Calculate the Quotient:
\( Quotient = \lfloor \frac{17}{5} \rfloor = 3 \)
Calculate the Remainder:
\( Remainder = 17 - (5 \times 3) = 17 - 15 = 2 \)
Solution:
Calculate the Quotient:
\( Quotient = \lfloor \frac{1365}{43} \rfloor = 31 \)
Calculate the Remainder:
\( Remainder = 1365 - (31 \times 43) = 1365 - 1333 = 32 \)
Solution:
Calculate the Quotient:
\( Quotient = \lfloor \frac{100}{6} \rfloor = 16 \)
Calculate the Remainder:
\( Remainder = 100 - (6 \times 16) = 100 - 96 = 4 \)