Long Division Problem: Dividing 3540 by 17 Step-by-Step

To solve the division problem of $3540 \div 17$, follow these steps:

• Step 1: Determine how many times 17 can fit into 35. It fits 2 times.
• Step 2: Multiply 17 by 2 to get 34, and subtract this from 35 to get a remainder of 1.
• Step 3: Bring down the next digit from 3540, which is 4, to make it 14.
• Step 4: 17 does not fit into 14, so put 0 in the quotient.
• Step 5: Bring down the next digit, which is 0, to make 140.
• Step 6: Determine how many times 17 fits into 140. It fits 8 times.
• Step 7: Multiply 17 by 8 to get 136, and subtract this from 140 to get a remainder of 4.

Adding together what we have collected in the quotient (2, 0, 8), we get 208 as the quotient.

Therefore, the quotient is $\textbf{208}$ and the remainder is $\textbf{4}$.

The correct option from the choices is: $208$ with a remainder of 4.

Therefore, the solution to the problem is $208$ with a remainder of 4.