We divide 127358 by 19
Our goal is to divide 127358 by 19.

Going ahead to step 1:
19 can be fit into 1 0 times, resulting in a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (2) from the dividend to 1 and continue with: 12 / 19

Let's proceed to step 2:
The number 19 fits into 12 0 times, leaving a remainder of 12.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 12, we end up with 12.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 19

Moving on to step 3:
19 can be fit into 127 6 times, resulting in a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
If we subtract 114 from 127, we get 13.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 19

Advancing to step 4:
When dividing 133 by 19, we get 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 67.0
Subtract 133 from 133 to get 0.
Fetch the next digit (5) from the dividend, attach it to 0 and continue: 5 / 19

Let's proceed to step 5:
The number 19 fits into 5 0 times, leaving a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 670.0
Subtracting 0 from 5 leaves us with 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 19

Moving on to step 6:
When dividing 58 by 19, we get 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 6703.0
Subtract 57 from 58 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.

Moving on to step 7:
When dividing 10 by 19, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 6703.0
If we subtract 0 from 10, we 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.

Advancing to step 8:
When dividing 100 by 19, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 6703.05
Subtracting 95 from 100 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 9:
50 divided by 19 is 2 with a remainder of 12.
Put 2 as the next digit of the answer. 
Result so far: 6703.052
The remainder is 12 after subtracting 38 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
19 goes into 120 6 times with a remainder of 6.
Put 6 as the next digit of the answer. 
Result so far: 6703.0526
Deduct 114 from 120 and we're left with 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 11:
19 goes into 60 3 times with a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 6703.05263
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
If we divide 30 by 19, we get 1 and a remainder of 11.
The number 1 becomes the next digit in our result. 
Result so far: 6703.052631
If we subtract 19 from 30, we 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 13:
If we divide 110 by 19, we get 5 and a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 6703.0526315
If we take 95 away from 110, we end up with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 14:
150 divided by 19 is 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 6703.05263157
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 6703.05263157 with a balance of 1.7e-08.