61 divided by 12
Understand the Problem
The question is asking us to perform the division operation of 61 by 12, which involves finding the quotient and possibly the remainder.
Answer
The quotient is 5, and the remainder is 1.
Answer for screen readers
The result of dividing 61 by 12 is a quotient of 5 and a remainder of 1.
Steps to Solve
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Set up the division We want to divide 61 by 12. This can be represented as an equation: $$ 61 \div 12 $$
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Calculate the quotient Determine how many times 12 fits into 61. Since $12 \times 5 = 60$ and $12 \times 6 = 72$, we can see that 12 fits into 61 five times. Thus, the quotient is: $$ \text{Quotient} = 5 $$
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Calculate the remainder Now we find the remainder after multiplying the quotient by 12: $$ 61 - (12 \times 5) = 61 - 60 = 1 $$ So, the remainder is: $$ \text{Remainder} = 1 $$
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Express the result The result of our division can be expressed as: $$ 61 = 12 \times 5 + 1 $$
The result of dividing 61 by 12 is a quotient of 5 and a remainder of 1.
More Information
When dividing numbers, it's common to express the result in terms of the quotient and remainder. This division can also be represented in fraction form as $5 \frac{1}{12}$ where the remainder is expressed as a fraction of the divisor.
Tips
- Confusing the quotient with the remainder. Make sure to clearly separate the two parts in division.
- Forgetting to check if additional divisions are needed. Always ensure that the remainder is less than the divisor.
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