We're dividing 129628 by 91 
We want to figure out the number of times 129628 can be divided by 91.

On to step 1:
91 goes into 1 0 times with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (2) from the dividend after 1, then repeat: 12 / 91

Going ahead to step 2:
When dividing 12 by 91, we get 0 with a remainder of 12.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Include the next digit (9) from the dividend after 12, then repeat: 129 / 91

On to step 3:
When dividing 129 by 91, we get 1 with a remainder of 38.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 91 from 129 and we're left with 38.
Take the next digit (6) from the dividend and append it to 38, then repeat: 386 / 91

Let's proceed to step 4:
If we divide 386 by 91, we get 4 and a remainder of 22.
Record the quotient 4 as the next digit in the result. 
Result so far: 14.0
The remainder is 22 after subtracting 364 from 386.
Grab the next digit (2) from the dividend, add it to 22, then carry on: 222 / 91

Advancing to step 5:
222 divided by 91 is 2 with a remainder of 40.
Write down 2 as next digit of the result. 
Result so far: 142.0
The remainder is 40 after subtracting 182 from 222.
Grab the next digit (8) from the dividend, add it to 40, then carry on: 408 / 91

Step 6:
408 divided by 91 is 4 with a remainder of 44.
The next digit of our result is 4. 
Result so far: 1424.0
Subtract 364 from 408 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

On to step 7:
When dividing 440 by 91, we get 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 1424.4
If we take 364 away from 440, we end up with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 8:
If we divide 760 by 91, we get 8 and a remainder of 32.
The next digit of our result is 8. 
Result so far: 1424.48
The remainder is 32 after subtracting 728 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Moving on to step 9:
91 goes into 320 3 times with a remainder of 47.
Write down 3 as next digit of the result. 
Result so far: 1424.483
If we take 273 away from 320, we end up with 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Going ahead to step 10:
91 goes into 470 5 times with a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1424.4835
Subtract 455 from 470 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.

Let's proceed to step 11:
150 divided by 91 is 1 with a remainder of 59.
The next digit of our result is 1. 
Result so far: 1424.48351
Deduct 91 from 150 and we're left with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Going ahead to step 12:
91 can be fit into 590 6 times, resulting in a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 1424.483516
Deduct 546 from 590 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 13:
The number 91 fits into 440 4 times, leaving a remainder of 76.
Write down 4 as next digit of the result. 
Result so far: 1424.4835164
If we subtract 364 from 440, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

On to step 14:
91 goes into 760 8 times with a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 1424.48351648
If we subtract 728 from 760, we get 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

After the division, we end up with 1424.48351648 and a remainder of 3.2e-08.