We're dividing 128663 by 91 
Let's see how many times 91 fits into 128663.

Advancing to step 1:
91 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (2) from the dividend, add it to 1, then carry on: 12 / 91

Step 2:
The number 91 fits into 12 0 times, leaving a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (8) from the dividend, add it to 12, then carry on: 128 / 91

Let's proceed to step 3:
128 divided by 91 is 1 with a remainder of 37.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtracting 91 from 128 leaves us with 37.
Bring next digit (6) of the dividend behind the 37 and repeat the process: 376 / 91

Advancing to step 4:
376 divided by 91 is 4 with a remainder of 12.
Use 4 as the next digit of our solution. 
Result so far: 14.0
Deduct 364 from 376 and we're left with 12.
Append the next digit (6) from the dividend to 12 and continue with: 126 / 91

Step 5:
The number 91 fits into 126 1 times, leaving a remainder of 35.
The next digit of our result is 1. 
Result so far: 141.0
Subtracting 91 from 126 leaves us with 35.
Fetch the next digit (3) from the dividend, attach it to 35 and continue: 353 / 91

Let's proceed to step 6:
If we divide 353 by 91, we get 3 and a remainder of 80.
Record the quotient 3 as the next digit in the result. 
Result so far: 1413.0
Subtracting 273 from 353 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 7:
91 can be fit into 800 8 times, resulting in a remainder of 72.
Use 8 as the next digit of our solution. 
Result so far: 1413.8
If we take 728 away from 800, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
When dividing 720 by 91, we get 7 with a remainder of 83.
Use 7 as the next digit of our solution. 
Result so far: 1413.87
The remainder is 83 after subtracting 637 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Advancing to step 9:
When dividing 830 by 91, we get 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 1413.879
Subtracting 819 from 830 leaves us with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 10:
110 divided by 91 is 1 with a remainder of 19.
Record the quotient 1 as the next digit in the result. 
Result so far: 1413.8791
If we take 91 away from 110, we end up with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 11:
91 goes into 190 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 1413.87912
If we take 182 away from 190, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Step 12:
When dividing 80 by 91, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 1413.87912
If we take 0 away from 80, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

On to step 13:
When dividing 800 by 91, we get 8 with a remainder of 72.
The next digit of our result is 8. 
Result so far: 1413.8791208
Subtracting 728 from 800 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Let's proceed to step 14:
If we divide 720 by 91, we get 7 and a remainder of 83.
Use 7 as the next digit of our solution. 
Result so far: 1413.87912087
If we take 637 away from 720, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

In conclusion, the division gives 1413.87912087 with a balance of 8.3e-08.