7, 77, 77, 777 `div`77 equals

Options

A. 1111
B. 1010001
C. 10101
D. 1010101

Answer

To solve the problem \( 7,77,77,777 \div 77 \), we will follow these steps:

### Step 1: Understand the Number
First, we need to express the number \( 7,77,77,777 \) in a more manageable form. This number can be broken down as follows:
- 7 crore = \( 7 \times 10^7 \)
- 77 lakh = \( 77 \times 10^5 \)
- 77 thousand = \( 77 \times 10^3 \)
- 777 = 777

So, \( 7,77,77,777 = 7,00,00,000 + 77,00,000 + 77,000 + 777 \).

### Step 2: Simplify the Division
Now we can directly divide \( 7,77,77,777 \) by \( 77 \):
\[ 7,77,77,777 \div 77 \]

### Step 3: Perform the Division
To perform the division, we can simplify it by dividing each part of the number by \( 77 \).

1. **Divide 7 by 77**:
- \( 7 \div 77 = 0 \) remainder \( 7 \)

2. **Bring down the next digits**:
- Bring down \( 77 \) (making it \( 777 \)).
- \( 77 \div 77 = 1 \) remainder \( 0 \).

3. **Bring down the next digits**:
- Bring down \( 77 \) (making it \( 77 \)).
- \( 77 \div 77 = 1 \) remainder \( 0 \).

4. **Bring down the next digits**:
- Bring down \( 777 \) (making it \( 777 \)).
- \( 777 \div 77 = 10 \) remainder \( 7 \).

5. **Final Calculation**:
- Now we have \( 7 \) left, and we can bring down the next \( 0 \) (making it \( 70 \)).
- \( 70 \div 77 = 0 \) remainder \( 70 \).
- Finally, we bring down the last \( 0 \) (making it \( 700 \)).
- \( 700 \div 77 \approx 9 \) remainder \( 7 \).

### Step 4: Combine the Results
Now we combine the results of our division:
- From the first part, we got \( 1 \).
- From the second part, we got \( 1 \).
- From the third part, we got \( 10 \).
- From the last part, we got \( 9 \).

So, the final result of \( 7,77,77,777 \div 77 \) is \( 1,01,01,01,01 \).

### Final Answer
Thus, \( 7,77,77,777 \div 77 = 1,01,01,01,01 \).

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