65 divided by 6
Understand the Problem
The question is asking us to perform a division operation, specifically to divide the number 65 by 6. This will yield a quotient and potentially a remainder.
Answer
Quotient: $10$, Remainder: $5$.
Answer for screen readers
The quotient is 10, and the remainder is 5.
Steps to Solve
- Perform the Division First, we will divide 65 by 6 to find the quotient.
We can set it up as follows: $$ \text{Quotient} = 65 \div 6 $$
- Calculate the Quotient Now, we compute the division: $$ 65 \div 6 = 10 \text{ (whole number)} $$
This tells us that 6 goes into 65 a total of 10 times.
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Find the Remainder Next, we will find the remainder. To do this, we multiply the quotient by the divisor and subtract from the original number: $$ \text{Remainder} = 65 - (10 \times 6) $$ Calculating it gives us: $$ \text{Remainder} = 65 - 60 = 5 $$
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Final Result We can express the final result as a mixed number or as: $$ 65 = 6 \times 10 + 5 $$
Thus, the division of 65 by 6 results in a quotient of 10 and a remainder of 5.
The quotient is 10, and the remainder is 5.
More Information
When dividing, the quotient represents how many whole times the divisor fits into the dividend, while the remainder indicates the leftover part. In this case, 6 fits into 65 a total of 10 times, with a leftover of 5.
Tips
- Forgetting to check for a remainder after finding the quotient. Always remember to calculate and report the remainder.
- Misplacing the decimal when performing the division, especially if using a calculator.
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