We look at the division of 129116 by 19 
Our goal is to divide 129116 by 19.

Advancing to step 1:
1 divided by 19 is 0 with a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 19

Moving on to step 2:
12 divided by 19 is 0 with a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Grab the next digit (9) from the dividend, add it to 12, then carry on: 129 / 19

Let's proceed to step 3:
19 goes into 129 6 times with a remainder of 15.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 114 from 129, we get 15.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 19

Advancing to step 4:
If we divide 151 by 19, we get 7 and a remainder of 18.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtracting 133 from 151 leaves us with 18.
Take the next digit (1) from the dividend and append it to 18, then repeat: 181 / 19

Let's proceed to step 5:
19 goes into 181 9 times with a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 679.0
If we take 171 away from 181, we end up with 10.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 19

Step 6:
19 goes into 106 5 times with a remainder of 11.
The next digit of our result is 5. 
Result so far: 6795.0
Subtract 95 from 106 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
If we divide 110 by 19, we get 5 and a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 6795.5
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 8:
If we divide 150 by 19, we get 7 and a remainder of 17.
Record the quotient 7 as the next digit in the result. 
Result so far: 6795.57
The remainder is 17 after subtracting 133 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 9:
When dividing 170 by 19, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 6795.578
The remainder is 18 after subtracting 152 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Moving on to step 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 6795.5789
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 11:
When dividing 90 by 19, we get 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 6795.57894
Subtracting 76 from 90 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 12:
140 divided by 19 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 6795.578947
Deduct 133 from 140 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

On to step 13:
If we divide 70 by 19, we get 3 and a remainder of 13.
The next digit of our result is 3. 
Result so far: 6795.5789473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 14:
If we divide 130 by 19, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 6795.57894736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 6795.57894736 with a remainder of 1.6e-08.