Step 1. Set up the long multiplication.
Step 2. Calculate 3 x 5, which is 15.
Since 15 is two-digit, we carry the first digit 1 to the next column.
Step 3. Calculate 6 x 5, which is 30. Now add the carry digit of 1, which is 31.
Since 31 is two-digit, we carry the first digit 3 to the next column.
Step 4. Bring down the carry digit of 3.
Step 5. Calculate 3 x 4, which is 12.Since 12 is two-digit, we carry the first digit 1 to the next column.
Step 6. Calculate 6 x 4, which is 24. Now add the carry digit of 1, which is 25.
Since 25 is two-digit, we carry the first digit 2 to the next column.
Step 7. Bring down the carry digit of 2.
Step 8. Calculate 315 + 2520, which is 2835
Step 9. Therefore, 63 x 45 = 2835.
Answer: 2835