To simplify the expression \( 1312 \div 13 - 1 \), we will first perform the division and then the subtraction.
- Calculate \( 1312 \div 13 \):
\[ 1312 \div 13 = 101 \]
- Now, subtract 1 from the result:
\[ 101 - 1 = 100 \]
Thus, the simplified expression is:
\[ \boxed{100} \]