Remainder Calculator (2024)

FAQs

How do you calculate remainder easily? ›

Work the division in your calculator as normal. Once you have the answer in decimal form, subtract the whole number, then multiply the decimal value that's left by the divisor of your original problem. The result is your remainder.

According to the remainder theorem, when a polynomial p(x) (whose degree is greater than or equal to 1) is divided by a linear polynomial x - a, the remainder is given by r = p(a).

The Remainder is the value left after the division. If a number (dividend) is not completely divisible by another number (divisor) then we are left with a value once the division is done. This value is called the remainder. For example, 10 is not exactly divided by 3.

We know that when a number M is divided by another number N, and if M > N, then the remainder is calculated by subtracting the maximum possible multiple of N from M.

If a number divides the other number evenly, then the remainder is 0. If the number does not divide the other number completely, then the remainder is not 0. What is the rule for remainders? A remainder is always less than or equal to the divisor.

One approach to finding the quotient and remainder of two integers without using division or mod operators is by repeated subtraction. The basic idea is to subtract the divisor from the dividend until the dividend becomes less than the divisor.

Integer division. Given an integer a and a non-zero integer d, it can be shown that there exist unique integers q and r, such that a = qd + r and 0 ≤ r < |d|. The number q is called the quotient, while r is called the remainder.

We have to find the remainder. Therefore, the remainder when 85 x 87 x 89 x 91 x 95 x 96 is divided by 100 is 0.

When a math problem has a remainder, it just means that there is a number left over after the division is done. To check your answer, just multiply your quotient and divisor and add your remainder. Your total should match the number you started with.

Another way to find the remainder is to set the x - a to term equal to 0 and then solve for x. After this, you just plug it back in to find the remainder.

What is the remainder theorem for dummies? ›

What is the Remainder Theorem? Remainder Theorem states that for any polynomial whose degree is greater than or equal to 1 if it is divided by a linear polynomial p(x) such that p(x) = (x – a), the remainder of this division is always equal to p(a).

You can use the ÷R function to obtain the quotient and remainder in a division calculation. Example: To calculate the quotient and remainder of 5 ÷ 2 (quotient = 2, remainder = 1) (MthIO-MathO) 5 (÷R) 2.

Quotient – The value you get after you divide the dividend by the divisor (145 ÷ 5 = 29) Remainder – The amount left over when one number does not divide exactly into another number. The remainder will always be less than the divisor (there is no remainder in 145 ÷ 5, but we will explore this more below)

Step 1: Divide the dividend by the divisor using integer division, ignoring any remainder. Step 2: Multiply the divisor by the quotient obtained in step 1. Step 3: Subtract the result obtained in step 2 from the dividend. Step 4: The resulting integer is the remainder.

The result of division of 24÷5 24 ÷ 5 is 4 with a remainder of 4 .

We can use Fermat's little theorem: 74≡1(mod5) 7 4 ≡ 1 ( mod 5 ) . Hence, 75284=74k≡1(mod5) 7 5284 = 7 4 k ≡ 1 ( mod 5 ) . Therefore the remainder is 1.

Another way to find the remainder is to set the x - a to term equal to 0 and then solve for x. After this, you just plug it back in to find the remainder.