We look at the division of 109114 by 51 
We want to figure out the number of times 109114 can be divided by 51.

Let's proceed to step 1:
If we divide 1 by 51, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 51

Going ahead to step 2:
If we divide 10 by 51, we get 0 and a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 51

On to step 3:
When dividing 109 by 51, we get 2 with a remainder of 7.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtracting 102 from 109 leaves us with 7.
Include the next digit (1) from the dividend after 7, then repeat: 71 / 51

Going ahead to step 4:
51 can be fit into 71 1 times, resulting in a remainder of 20.
Use 1 as the next digit of our solution. 
Result so far: 21.0
The remainder is 20 after subtracting 51 from 71.
Bring next digit (1) of the dividend behind the 20 and repeat the process: 201 / 51

Step 5:
If we divide 201 by 51, we get 3 and a remainder of 48.
The next digit of our result is 3. 
Result so far: 213.0
Subtract 153 from 201 to get 48.
Bring next digit (4) of the dividend behind the 48 and repeat the process: 484 / 51

On to step 6:
51 goes into 484 9 times with a remainder of 25.
The number 9 becomes the next digit in our result. 
Result so far: 2139.0
If we take 459 away from 484, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 7:
51 goes into 250 4 times with a remainder of 46.
Record the quotient 4 as the next digit in the result. 
Result so far: 2139.4
If we subtract 204 from 250, we get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
If we divide 460 by 51, we get 9 and a remainder of 1.
The next digit of our result is 9. 
Result so far: 2139.49
Subtract 459 from 460 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to step 9:
51 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 2139.49
Subtract 0 from 10 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 10:
51 can be fit into 100 1 times, resulting in a remainder of 49.
The next digit of our result is 1. 
Result so far: 2139.4901
Subtract 51 from 100 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Advancing to step 11:
490 divided by 51 is 9 with a remainder of 31.
Record the quotient 9 as the next digit in the result. 
Result so far: 2139.49019
If we take 459 away from 490, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Moving on to step 12:
The number 51 fits into 310 6 times, leaving a remainder of 4.
The next digit of our result is 6. 
Result so far: 2139.490196
Subtract 306 from 310 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 13:
51 goes into 40 0 times with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 2139.490196
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 14:
When dividing 400 by 51, we get 7 with a remainder of 43.
The next digit of our result is 7. 
Result so far: 2139.49019607
Deduct 357 from 400 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 2139.49019607 with a remainder of 4.3e-08.