Long Division Problem: Dividing 803 by 2 Step-by-Step

To solve this problem, we'll divide 803 by 2 using long division, following detailed steps:

• Step 1: Divide the first digit of the dividend (8) by the divisor (2). 2 fits into 8 exactly 4 times, so the first digit of the quotient is 4.
• Step 2: Multiply the divisor (2) by this part of the quotient (4), resulting in 8. Subtract this product from 8, yielding a remainder of 0.
• Step 3: Bring down the next digit of the dividend, which is 0 (from the number 80).
• Step 4: Divide 0 by 2, which fits 0 times, adding another digit (0) to the quotient.
• Step 5: Bring down the final digit of the dividend, which is 3.
• Step 6: 2 fits into 3 a total of 1 time. This results in an additional 1 in the quotient.
• Step 7: Subtract, and this product of 1 (remainder from step) gives us the remainder, 1.

The long division yields a quotient of 401 with a remainder of 1.

Therefore, the answer to the problem is $401$ with a remainder of 1.