1. **State the problem:** Solve the expression $141 \times 9621 / 141 + (9621 - 1)$. 2. **Recall the order of operations:** Perform multiplication and division from left to right, then addition and subtraction. 3. **Simplify the multiplication and division:** $$141 \times 9621 / 141 = \cancel{141} \times 9621 / \cancel{141} = 9621$$ 4. **Simplify the subtraction inside the parentheses:** $$9621 - 1 = 9620$$ 5. **Add the results:** $$9621 + 9620 = 19241$$ 6. **Final answer:** $$\boxed{19241}$$