To solve this problem, we will perform long division of 603 by 3. Below are the steps explained in detail:
- Step 1: Start with the leftmost digit of the dividend (603). This is 6. Divide 6 by 3 to get 2. So, we place 2 above the line, indicating the first digit of the quotient.
- Step 2: Multiply 2 (the quotient digit we've obtained) by 3 (the divisor) to get 6. Subtract this 6 from the first digit of 603, which gives us 0.
- Step 3: Bring down the next digit of the dividend, which is 0. The result is now considered as 0.
- Step 4: Divide this 0 by 3, which gives 0 for the next digit in the quotient. Place this 0 alongside the 2 above the line.
- Step 5: Bring down the final digit of the dividend, which is 3.
- Step 6: Divide the 3 by 3 to get 1. Place 1 in the quotient line, forming the last digit.
- Step 7: Multiply 1 by 3 to get 3, subtract this 3 from the digit brought down (which is also 3), resulting in 0.
Thus, combining all digits in the quotient gives us 201.
Therefore, the solution to this problem is 201.