Long Division Problem: Dividing 8422 by 3 Step-by-Step

To solve this problem, we'll execute a long division of 8422 by 3 as follows:

• First, divide the first digit, 8, by 3. 3 goes into 8 two times, since $3 \times 2 = 6$. The remainder is 8 - 6 = 2.
• Bring down the next digit, 4, to the remainder, making it 24. Now, divide 24 by 3. 3 goes into 24 eight times, since $3 \times 8 = 24$. The remainder is 24 - 24 = 0.
• Bring down the next digit, 2, making it 2. Divide 2 by 3. 3 cannot go into 2, so the quotient is 0 and the remainder remains 2.
• Bring down the final digit, 2, making it 22. Divide 22 by 3. 3 goes into 22 seven times, since $3 \times 7 = 21$. The remainder is 22 - 21 = 1.

Following the division steps leads us to a quotient of 2807 with a remainder of 1.

Therefore, the solution to the problem is $2807$ with a remainder of 1.