To simplify the expression \( 1312 \div 13 - 10 \), we first perform the division:
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Calculate \( 1312 \div 13 \): \[ 1312 \div 13 = 101 \] (since \( 13 \times 101 = 1313 \) is slightly above, but when checking \( 13 \times 100 = 1300 \) it is below, we find it’s 101)
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Now we subtract 10 from the result: \[ 101 - 10 = 91 \]
So, the simplified result of the expression \( 1312 \div 13 - 10 \) is \(\boxed{91}\).