186 divided by 20 with remainder is a simple mathematical calculation that can be done using various methods. This calculation can be done using either long division, the Remainder Theorem, or the Euclidean Division Algorithm. No matter which method is used, the result of the calculation will be the same.

## Long Division

Long division is the most traditional method for performing this calculation. To use long division, begin by writing down the dividend (186) and the divisor (20) side by side. Then, divide the dividend by the divisor and write the answer on the top line above the dividend. In this case, the answer is 9. Then, multiply the divisor by the answer and subtract that number from the dividend. This will give the remainder, which in this case is 6. So, the answer to 186 divided by 20 with remainder is 9 remainder 6.

## Remainder Theorem

The Remainder Theorem is another method of solving the calculation. To use the Remainder Theorem, begin by writing down the dividend (186) and the divisor (20). Then, divide the dividend by the divisor and write the answer on the top line above the dividend. In this case, the answer is 9. Then, take the remainder of the division and divide it by the divisor. The answer to this division is 0, because the remainder is 6 and 6 divided by 20 is 0. So, the answer to 186 divided by 20 with remainder is 9 remainder 6.

## Euclidean Division Algorithm

The Euclidean Division Algorithm is a third method for solving this calculation. To use the Euclidean Division Algorithm, begin by writing down the dividend (186) and the divisor (20). Then, divide the dividend by the divisor and write the answer on the top line above the dividend. In this case, the answer is 9. Then, take the remainder of the division and divide it by the divisor. The answer to this division is 0, because the remainder is 6 and 6 divided by 20 is 0. So, the answer to 186 divided by 20 with remainder is 9 remainder 6.

In conclusion, the answer to 186 divided by 20 with remainder is 9 remainder 6. This calculation can be done using long division, the Remainder Theorem, or the Euclidean Division Algorithm. No matter which method is used, the result of the calculation will be the same.

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