71 divided by 6

Understand the Problem

The question is asking for the result of dividing 71 by 6, which is a simple arithmetic operation. We will perform the division to find the quotient and remainder.

Answer

$11$ with remainder $5$
Answer for screen readers

The result of dividing 71 by 6 is $11$ with a remainder of $5$.

Steps to Solve

  1. Perform the Division

To divide 71 by 6, we calculate how many times 6 can fit into 71. This can be done using long division or simple division.

$$ 71 \div 6 \approx 11.8333 $$

However, we need the integer part and the remainder.

  1. Find the Quotient

The integer part (quotient) of the division is 11, since $11 \times 6 = 66$.

  1. Calculate the Remainder

Now, we find the remainder by subtracting the result of the multiplication from the original number:

$$ \text{Remainder} = 71 - 66 = 5 $$

  1. State the Result

We express the final result as the quotient and remainder:

Thus, we can say:

$$ 71 \div 6 = 11 , \text{R} , 5 $$

The result of dividing 71 by 6 is $11$ with a remainder of $5$.

More Information

When you divide numbers like this, you can express the result in terms of quotient and remainder, which helps in understanding how many complete groups of the divisor exist in the dividend, along with what is left over.

Tips

  • Confusing the decimal result with the quotient and remainder. Always identify both the integer part and the leftover remainder.
  • Not verifying the multiplication to check for the correct remainder.
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