To convert \( 1320% \) to a decimal using long division, we first need to understand that \( 1320% \) means \( 1320 \div 100 \).
We can perform the long division of 1320 by 100:
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Set up the division: 1320 (the dividend) divided by 100 (the divisor).
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Divide:
- 100 goes into 1320 twelve times (12), since \( 100 \times 12 = 1200 \).
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Subtract:
- Subtract \( 1200 \) from \( 1320 \).
- \( 1320 - 1200 = 120 \).
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Bring down:
- Next, since there are no more digits to bring down (1320 has only three digits), we can consider this as \( 120.0 \) and bring down a zero.
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Divide again:
- Now we divide 1200 by 100, which goes exactly twelve times (12), since \( 100 \times 12 = 1200 \).
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Subtract again:
- \( 1200 - 1200 = 0 \).
Since we have no remainder and the division is complete, we find that:
\[ 1320 \div 100 = 13.2 \]
Therefore, \( 1320% \) as a decimal is \( 13.2 \).