Certainly! Let's work through the division of [tex]\( 85 \div 28 \)[/tex] in a detailed manner.
1. Understanding the Problem:
We need to divide 85 by 28 to find how many times 28 fits into 85.
2. Setting Up the Division:
We can write this as a fraction:
[tex]\[
\frac{85}{28}
\][/tex]
3. Long Division Approach:
To divide 85 by 28 using long division, we would follow these steps:
- First, determine how many times 28 goes into the first part of 85, which is 85 itself since 85 is larger than 28.
- Since 28 fits into 85 almost 3 times (3 * 28 = 84), we place 3 above the long division bar.
- Subtracting 84 from 85 gives the remainder as 1.
- Since we do not stop at the whole number division, we continue by adding decimal places.
- Bring down 0 and repeat the division process on 10 (remaining part of the 85 after considering the decimal part).
4. Result of the Division:
After performing the division process, step by step, we continue to get the digits through repeated operations of bringing down zeroes and performing division.
5. Final Answer:
After the complete process of dividing, the result that we get is approximately:
[tex]\[
85 \div 28 \approx 3.0357142857142856
\][/tex]
So the result of dividing 85 by 28 is approximately [tex]\( 3.0357142857142856 \)[/tex].
