If 111111111 is divided by 111 , then the quotient will be

Options

A. 1 1 1
B. 1 0 1 0 1
C. 1001001
D. None of these

Explanation

To solve the problem of dividing 111111111 by 111, we can follow these steps:

### Step 1: Set up the division
We need to divide 111111111 by 111. We can write this as:
\[ \frac{111111111}{111} \]

### Step 2: Perform the division
To perform the division, we can start by estimating how many times 111 can fit into the first few digits of 111111111.

1. **Divide the first three digits (111) by 111**:
- \( 111 \div 111 = 1 \)
- Write down 1 as the first digit of the quotient.

2. **Subtract**:
- \( 111 - 111 = 0 \)
- Bring down the next digit (1) to make it 01.

3. **Now divide 01 by 111**:
- \( 01 \div 111 = 0 \)
- Write down 0 as the next digit of the quotient.

4. **Bring down the next digit (1)**:
- Now we have 011.
- \( 011 \div 111 = 0 \)
- Write down 0.

5. **Continue this process**:
- Bring down the next digit (1) to make it 111.
- \( 111 \div 111 = 1 \)
- Write down 1.

6. **Subtract**:
- \( 111 - 111 = 0 \)
- Bring down the next digit (1) to make it 01 again.
- Repeat the process:
- \( 01 \div 111 = 0 \)
- \( 011 \div 111 = 0 \)
- \( 111 \div 111 = 1 \)
- Continue this until all digits are processed.

### Step 3: Write down the complete quotient
After completing the division, we find that the pattern continues:
- The quotient will be 100001001.

### Final Answer
Thus, the quotient when 111111111 is divided by 111 is:
\[ 100001001 \]