`(19999)/( 21111) = ?`

Options

A. 0.947
B. 0.749
C. 0.497
D. 0.794

Answer

To solve the division of \( \frac{19999}{21111} \), we can follow these steps:

### Step 1: Set up the division
We need to divide 19999 by 21111. Since 19999 is less than 21111, we know that the result will be less than 1. Therefore, we can write it as:
\[ \frac{19999}{21111} = 0. \]

### Step 2: Add a decimal point
Since the result is less than 1, we add a decimal point and a zero to 19999, making it 199990. Now we will divide 199990 by 21111.

### Step 3: Estimate how many times 21111 goes into 199990
We can estimate how many times 21111 fits into 199990. We can start by checking how many times 21111 fits into 199990.

Calculating:
\[ 21111 \times 9 = 189999. \]
This is less than 199990, so we can try 9.

### Step 4: Subtract to find the remainder
Now we subtract:
\[ 199990 - 189999 = 9991. \]

### Step 5: Bring down another zero
Now we bring down another zero, making it 99910. We will divide this by 21111.

### Step 6: Estimate again
Now we check how many times 21111 fits into 99910:
\[ 21111 \times 4 = 84444. \]
This fits, so we can use 4.

### Step 7: Subtract again
Now we subtract:
\[ 99910 - 84444 = 15466. \]

### Step 8: Bring down another zero
We bring down another zero, making it 154660. Now we divide this by 21111.

### Step 9: Estimate once more
Now we check how many times 21111 fits into 154660:
\[ 21111 \times 7 = 147777. \]
This fits, so we can use 7.

### Step 10: Final subtraction
Now we subtract:
\[ 154660 - 147777 = 6883. \]

### Conclusion
Thus, the result of the division \( \frac{19999}{21111} \) can be approximated as:
\[ 0.947. \]
So, the final answer is approximately \( 0.947 \).