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

Video Solution

Solution Steps

00:00 Solve

00:04 Let's start by dividing the leftmost digit in the dividend

00:07 7 is less than 28, so we'll add the next digit and then divide

00:15 Write the result without remainder above, paying attention to position

00:19 Now multiply the result by the divisor

00:24 Subtract the product from the number

00:29 Now bring down the next digit and use the same steps

00:37 Divide

00:42 Write the result without remainder above, paying attention to position

00:49 Multiply the result and subtract

00:58 Now bring down the next digit and use the same steps

01:02 Divide

01:08 Write the result without remainder above, paying attention to position

01:13 Multiply the result and subtract

01:22 We got a remainder of 11

01:29 And this is the solution to the problem

Step-by-Step Solution

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 $11$ .