12.8571

91 divided by 7 is 13. This problem can be solved easily with the process called long division.

Multiply the newest quotient digit (4) by the divisor 7 . Subtract 28 from 28 . The result of division of 98÷7 98 ÷ 7 is 14 .

2

So any power of 3 or multiple of 3 will give the remainder of 1. So, 4999 will give remainder 1. Final remainder is 4.

We need to find the remainder of (8 power 25) divided by 7 is 1. If 8 is divided by 7, then the remainder is 1. Therefore, the remainder of (8 power 25) divided by 7 is 1.

Answer. So.. 6 is the remainder of this division.

Hence remainder is 18.

Therefore the remainder of 16⁵³/7 is 4.

Now we are getting remainder -30 while dividing a number by 17 which is equivalent to get a remainder 4. So the complete congruent equation is (54^124 )Cong (3^124) Cong (3*10^41) Cong (30*2^20) Cong ( 4) (mod 17). Hence the final remainder is 4.

120…) Therefore the remainder when N is divided by 12 is 9.

Funda 2 of Remainders:

1. Cancel out the common factor.
2. Find out the remainder from the remaining fraction.
3. Multiply the resulting remainder with the common factor to get the actual remainder.

By 10^31, then the Remainder is 0. 10^31 has 31 zeroes. It’s perfectly divisible.

Aptitude :: Numbers – Discussion Explanation: (xn + 1) will be divisible by (x + 1) only when n is odd. (6767 + 1) + 66, when divided by 68 will give 66 as remainder.

Remainder means something which is ‘left over’ or ‘remaining’. This 1 is the remainder. When one number cannot divide another number completely, it le get a remainder.

Using a calculator, if you typed in 21 divided by 7, you’d get 3. You could also express 21/7 as a mixed fraction: 3 0/7. If you look at the mixed fraction 3 0/7, you’ll see that the numerator is the same as the remainder (0), the denominator is our original divisor (7), and the whole number is our final answer (3).

When we are given a long division to do it will not always work out to a whole number. Sometimes there are numbers left over. These are called remainders. The first number of the dividend is divided by the divisor.

344

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. For example, divide 346 by 7 to arrive at

Divide two integers to obtain a remainder. For an example, dividing 4 into 6, or 6 ÷ 4, results in quotient of 1 and a remainder of 2. Write the remainder as the numerator in a fraction with the divisor as the denominator. In this example, writing the remainder over the divisor results in 2/4.

Using a calculator, if you typed in 5 divided by 3, you’d get 1.6667. You could also express 5/3 as a mixed fraction: 1 2/3. If you look at the mixed fraction 1 2/3, you’ll see that the numerator is the same as the remainder (2), the denominator is our original divisor (3), and the whole number is our final answer (1).

When a number does not divide evenly into another, the leftover can be expressed as a remainder, fraction, or decimal. The key to working out a long division problem, where the remainder is written as a decimal, is the ability to add zeros after the decimal point.

a quotient is the answer to a division problem. The divisor is the number of parts you divide the dividend by. The dividend is the number you are dividing.

Sometimes, when the division is not exact, the quotient is the integer part of the result. So for example 15 divided by 2 is 7 with a remainder of 1. Here, 7 is the quotient and 1 is the remainder.

When you divide two numbers the answer is called the quotient. The quotient of six divided by two is three. Quotient comes from Latin and means “how many times.” That makes a lot of sense: if you divide one number by a second, you are figuring out “how many times” the second number goes into the first.