To solve the expression \( 44351 - 351 \times 105 \), follow the order of operations (PEMDAS/BODMAS):

1. **Multiplication**: Calculate \( 351 \times 105 \).

\[
351 \times 105 = 351 \times (100 + 5) = 351 \times 100 + 351 \times 5
\]

\[
351 \times 100 = 35100
\]

\[
351 \times 5 = 1755
\]

\[
351 \times 105 = 35100 + 1755 = 36855
\]

2. **Subtraction**: Subtract the result from 44351.

\[
44351 - 36855
\]

Perform the subtraction:

\[
44351 - 36855 = 7496
\]

So, the result of the expression \( 44351 - 351 \times 105 \) is \( 7496 \).