We're dividing 125261 by 83 
We want to divide 125261 by 83.

Let's proceed to step 1:
If we divide 1 by 83, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (2) from the dividend, attach it to 1 and continue: 12 / 83

Let's proceed to step 2:
If we divide 12 by 83, we get 0 and a remainder of 12.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 12 leaves us with 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 83

On to step 3:
83 goes into 125 1 times with a remainder of 42.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 83 from 125 and we're left with 42.
Include the next digit (2) from the dividend after 42, then repeat: 422 / 83

Advancing to step 4:
The number 83 fits into 422 5 times, leaving a remainder of 7.
Record the quotient 5 as the next digit in the result. 
Result so far: 15.0
If we take 415 away from 422, we end up with 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 83

Advancing to step 5:
83 can be fit into 76 0 times, resulting in a remainder of 76.
The next digit of our result is 0. 
Result so far: 150.0
Subtracting 0 from 76 leaves us with 76.
Take the next digit (1) from the dividend and append it to 76, then repeat: 761 / 83

Let's proceed to step 6:
83 goes into 761 9 times with a remainder of 14.
The next digit of our result is 9. 
Result so far: 1509.0
Subtract 747 from 761 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
The number 83 fits into 140 1 times, leaving a remainder of 57.
The next digit of our result is 1. 
Result so far: 1509.1
Deduct 83 from 140 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 8:
The number 83 fits into 570 6 times, leaving a remainder of 72.
The number 6 becomes the next digit in our result. 
Result so far: 1509.16
Subtract 498 from 570 to get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

On to step 9:
When dividing 720 by 83, we get 8 with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 1509.168
The remainder is 56 after subtracting 664 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Advancing to step 10:
560 divided by 83 is 6 with a remainder of 62.
The number 6 becomes the next digit in our result. 
Result so far: 1509.1686
Subtracting 498 from 560 leaves us with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 11:
620 divided by 83 is 7 with a remainder of 39.
The number 7 becomes the next digit in our result. 
Result so far: 1509.16867
If we subtract 581 from 620, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Let's proceed to step 12:
390 divided by 83 is 4 with a remainder of 58.
Put 4 as the next digit of the answer. 
Result so far: 1509.168674
The remainder is 58 after subtracting 332 from 390.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Let's proceed to step 13:
83 can be fit into 580 6 times, resulting in a remainder of 82.
The next digit of our result is 6. 
Result so far: 1509.1686746
The remainder is 82 after subtracting 498 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 820, and continue the process.

On to step 14:
83 can be fit into 820 9 times, resulting in a remainder of 73.
The next digit of our result is 9. 
Result so far: 1509.16867469
Deduct 747 from 820 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

After the division, we end up with 1509.16867469 and a remainder of 7.3e-08.