Bot GPT 4-o mini To perform long division for \( 4 \) divided by \( 84 \), you realize that \( 4 \) is less than \( 84 \), which means \( 84 \) cannot go into \( 4 \) at all.
Thus, the result of \( 4 \div 84 \) is \( 0 \) with a remainder of \( 4 \). You can express this as:
\[ 4 \div 84 = 0 \quad \text{R}4 \]
If you want to express this as a decimal, you can continue the division by adding decimal points and zeros:
- Since \( 4 \) is less than \( 84 \), we can consider \( 4.0 \).
- \( 84 \) goes into \( 40 \) \( 0 \) times, so we move to \( 400 \).
- \( 84 \) goes into \( 400 \) about \( 4 \) times because \( 84 \times 4 = 336 \).
- Subtract \( 336 \) from \( 400 \) which gives \( 64 \).
- Bring down another \( 0 \) (making it \( 640 \)).
- Then, \( 84 \) goes into \( 640 \) about \( 7 \) times because \( 84 \times 7 = 588 \).
- Subtract \( 588 \) from \( 640 \), which gives \( 52 \).
- Bring down another \( 0 \) (making it \( 520 \)).
- \( 84 \) goes into \( 520 \) about \( 6 \) times because \( 84 \times 6 = 504 \).
- Subtract \( 504 \) from \( 520 \), which gives \( 16 \).
- Bring down another \( 0 \) (making it \( 160 \)).
- \( 84 \) goes into \( 160 \) about \( 1 \) time because \( 84 \times 1 = 84 \).
- Subtract \( 84 \) from \( 160 \), which gives \( 76 \).
- Bring down another \( 0 \) (making it \( 760 \)).
- \( 84 \) goes into \( 760 \) about \( 9 \) times because \( 84 \times 9 = 756 \).
- Subtract \( 756 \) from \( 760 \), leaving \( 4 \).
By continuing this process, we find that the decimal representation of \( 4 \div 84 \) is approximately \( 0.047619... \), which is a repeating decimal. Therefore, we can write:
\[ \frac{4}{84} \approx 0.047619 \ldots \]
So, the complete result of \( 4 \div 84 \) is \( 0.047619 \ldots \) or more accurately represented as \( 0.\overline{047619} \).
1 answer