Integer Division with Scientific Calculators
Integer Division
A popular function of European scientific and fraction-featured calculators is the integer division function (also known as Euclidean division). Integer division between two numbers (typically positive integers) return both the quotient and the remainder.
Example:
456 int÷ 78 returns a quotient of 5 and a remainder of 66.
Here's a way to execute integer division with various calculators.
TI-36X Pro and TI-30X Pro Math Print
Integer division can be easily accomplished by using two functions:
Quotient: Either int(x/y) or iPart(x/y)
Remainder: mod(x,y)
Example: 456 int÷ 78
int(456/78) = 5, mod(456, 78) = 66
Casio fx-991EX and Casio fx-991CW
Assuming x and y are positive integers, what we do depends on whether y is prime or composite. We will assume that MathIO mode is activated.
If y is prime: We can divide x ÷ y, and change the result into a mixed format.
Example: 6140 int÷ 47
47 is prime.
Key in 6140 ÷ 47. Change the result into a mixed format. The result is 130 30/47.
Then the quotient is 130, the remainder is 47.
If y is not prime, we will not be able to do this because the fractions are always simplified to the irreducible form.
Then we will have to use the following steps:
1. Divide x by y. Take note of the integer portion (you may have to change the format to mixed fraction or decimal format first).
2. For the remainder, execute this formula: x - quotient * y.
Example: 5518 int÷ 32
32 is not prime.
1. Calculate the quotient: 5518 ÷ 32 = 172 1/4. Note that the integer part, 172 is the quotient.
2. Calculate the remainder: 5518 - 172 * 32 = 14.
Then the quotient is 172, the remainder is 14.
Hewlett Packard HP 41C/Swiss Micros DM41X
Program Code:
01 LBL áµ€ INTD
02 x<>y
03 STO Z
04 x<>y
05 ST/ Z
06 MOD
07 x<>y
08 INT
09 x<>y
10 END
Eddie
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