To find the value of \( 1,530 ÷ 34 \), we can go through the long division process.
- Set up the division: We want to divide 1,530 by 34.
\[ \begin{array}{r|l} 34 & 1530 \ \end{array} \]
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Determine how many times 34 fits into the first part of 1,530:
- Start with 34 into 153 (the first three digits of 1530).
- 34 goes into 153 about 4 times because \( 34 \times 4 = 136 \).
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Subtract:
- Subtract 136 from 153. \[ 153 - 136 = 17 \]
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Bring down the next digit:
- Bring down the 0 to the 17, making it 170.
\[ \begin{array}{r|l} 34 & 1530 \ & -136 \ \hline & 170 \ \end{array} \]
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Now divide 34 into 170:
- 34 goes into 170 exactly 5 times because \( 34 \times 5 = 170 \).
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Subtract again:
- Subtract 170 from 170. \[ 170 - 170 = 0 \]
Now, we have finished the division as there are no remainders or digits left to bring down.
Putting the results together, we find:
\[ 1,530 ÷ 34 = 45 \]
Thus, the value of \( 1,530 ÷ 34 \) is \( \boxed{45} \).