We look at the division of 127133 by 19 
We're looking to find how many times 19 goes into 127133.

Advancing to step 1:
1 divided by 19 is 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 19

On to step 2:
19 goes into 12 0 times with a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 12, we get 12.
Take the next digit (7) from the dividend and append it to 12, then repeat: 127 / 19

Let's proceed to step 3:
If we divide 127 by 19, we get 6 and a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 114 from 127 and we're left with 13.
Fetch the next digit (1) from the dividend, attach it to 13 and continue: 131 / 19

On to step 4:
19 goes into 131 6 times with a remainder of 17.
Put 6 as the next digit of the answer. 
Result so far: 66.0
If we take 114 away from 131, we end up with 17.
Append the next digit (3) from the dividend to 17 and continue with: 173 / 19

Let's proceed to step 5:
19 goes into 173 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 669.0
Subtracting 171 from 173 leaves us with 2.
Grab the next digit (3) from the dividend, add it to 2, then carry on: 23 / 19

Let's proceed to step 6:
23 divided by 19 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 6691.0
If we take 19 away from 23, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
40 divided by 19 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 6691.2
If we subtract 38 from 40, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
20 divided by 19 is 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 6691.21
The remainder is 1 after subtracting 19 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 9:
When dividing 10 by 19, we get 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 6691.21
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 10:
19 can be fit into 100 5 times, resulting in a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 6691.2105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 11:
50 divided by 19 is 2 with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 6691.21052
If we subtract 38 from 50, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 12:
19 goes into 120 6 times with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 6691.210526
Subtract 114 from 120 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 13:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 6691.2105263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

On to step 14:
19 can be fit into 30 1 times, resulting in a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 6691.21052631
The remainder is 11 after subtracting 19 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final result is 6691.21052631 with a remainder of 1.1e-08.