Long Division Problem: Dividing 7235 by 28 Step-by-Step

To solve the division of 7235 by 28, we will use the long division method:

• Step 1: Determine how many times 28 can go into the first part of the number, 72. Since $28 \times 2 = 56$ and $28 \times 3 = 84$, 28 fits into 72 twice. Write 2 on top.
• Step 2: Subtract $56$ from $72$ to get $16$. Bring down the next digit, which is 3, making it 163.
• Step 3: Determine how many times 28 fits into 163. Since $28 \times 5 = 140$ and $28 \times 6 = 168$, 28 fits in 163 five times. Write 5 on top next to 2.
• Step 4: Subtract $140$ from $163$ to get $23$. Bring down the final digit, 5, making it 235.
• Step 5: Determine how many times 28 fits into 235. Since $28 \times 8 = 224$ and $28 \times 9 = 252$, 28 fits into 235 eight times. Write 8 on top next to the 25, making our partial quotient 258.
• Step 6: Subtract $224$ from $235$ to get a remainder of $11$.

Therefore, when dividing 7235 by 28, the quotient is $258$ with a remainder of $11$.

The correct answer to the multiple-choice question is $\text{Option 2:}$ $258$ with a remainder of $11$.