145 divided by 6
Understand the Problem
The question is asking us to perform a division operation where we need to find the result of 145 divided by 6.
Answer
$24 \frac{1}{6}$ or $24.1667$
Answer for screen readers
The result of dividing 145 by 6 is $24 \frac{1}{6}$ or approximately $24.1667$.
Steps to Solve
- Set up the division problem To solve the problem, we start by setting up the division of 145 by 6, which we can write as:
$$ \frac{145}{6} $$
- Perform the division Now, we divide 145 by 6. We can see that 6 goes into 14 two times (because $6 \times 2 = 12$) and then we will have a remainder.
So, we can subtract 12 from 14:
$$ 14 - 12 = 2 $$
Next, bring down the next digit, which is 5, making it 25.
- Continue dividing with the new number Now, we divide 25 by 6.
6 goes into 25 four times (since $6 \times 4 = 24$).
After subtracting 24 from 25, we get:
$$ 25 - 24 = 1 $$
- Express the result This means we have a quotient of 24, and we also have a remainder of 1. We can express the answer as:
$$ 24 \frac{1}{6} $$
We can also write this as a decimal if desired.
- Convert the answer into decimal (optional) To express the final answer as a decimal, we can take the remainder of 1 and divide it by 6:
$$ 1 \div 6 \approx 0.1667 $$
Therefore, when we add this to 24, we get:
$$ 24 + 0.1667 \approx 24.1667 $$
The result of dividing 145 by 6 is $24 \frac{1}{6}$ or approximately $24.1667$.
More Information
This division problem can be visualized using long division, where you systematically find how many times the divisor fits into parts of the dividend, leading to the final quotient and any remainder. Additionally, understanding remainders is crucial in division problems and can provide insights into the quotient.
Tips
- Confusing the remainder with the final answer. Make sure to clearly separate the quotient and the remainder.
- Not bringing down the next digit during long division. Always ensure to include each digit in the sequence.
