We divide 102128 by 19
Our goal is to divide 102128 by 19.

Advancing to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 19

Let's proceed to step 2:
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: 0.0
If we subtract 0 from 10, we get 10.
Grab the next digit (2) from the dividend, add it to 10, then carry on: 102 / 19

Moving on to step 3:
19 can be fit into 102 5 times, resulting in a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 95 from 102, we get 7.
Take the next digit (1) from the dividend and append it to 7, then repeat: 71 / 19

Moving on to step 4:
71 divided by 19 is 3 with a remainder of 14.
The next digit of our result is 3. 
Result so far: 53.0
Subtracting 57 from 71 leaves us with 14.
Append the next digit (2) from the dividend to 14 and continue with: 142 / 19

Let's proceed to step 5:
The number 19 fits into 142 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 537.0
If we take 133 away from 142, we end up with 9.
Bring next digit (8) of the dividend behind the 9 and repeat the process: 98 / 19

On to step 6:
19 goes into 98 5 times with a remainder of 3.
Put 5 as the next digit of the answer. 
Result so far: 5375.0
Subtract 95 from 98 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 7:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 5375.1
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.

Going ahead to step 8:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 5375.15
Subtracting 95 from 110 leaves us 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.

Let's proceed to step 9:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 5375.157
Subtract 133 from 150 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Moving on to step 10:
When dividing 170 by 19, we get 8 with a remainder of 18.
The number 8 becomes the next digit in our result. 
Result so far: 5375.1578
Deduct 152 from 170 and we're left with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 11:
If we divide 180 by 19, we get 9 and a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 5375.15789
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.

Advancing to step 12:
90 divided by 19 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 5375.157894
Deduct 76 from 90 and we're left 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.

Let's proceed to step 13:
If we divide 140 by 19, we get 7 and a remainder of 7.
The number 7 becomes the next digit in our result. 
Result so far: 5375.1578947
Subtracting 133 from 140 leaves us 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.

Let's proceed to step 14:
The number 19 fits into 70 3 times, leaving a remainder of 13.
Put 3 as the next digit of the answer. 
Result so far: 5375.15789473
Subtract 57 from 70 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 5375.15789473 with a balance of 1.3e-08.