102114 divided by 83 
Our goal is to divide 102114 by 83.

Advancing to step 1:
83 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
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 83

Moving on to step 2:
The number 83 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Include the next digit (2) from the dividend after 10, then repeat: 102 / 83

Advancing to step 3:
83 goes into 102 1 times with a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 83 from 102 and we're left with 19.
Take the next digit (1) from the dividend and append it to 19, then repeat: 191 / 83

Step 4:
83 goes into 191 2 times with a remainder of 25.
The next digit of our result is 2. 
Result so far: 12.0
The remainder is 25 after subtracting 166 from 191.
Grab the next digit (1) from the dividend, add it to 25, then carry on: 251 / 83

Going ahead to step 5:
83 goes into 251 3 times with a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 123.0
Deduct 249 from 251 and we're left with 2.
Take the next digit (4) from the dividend and append it to 2, then repeat: 24 / 83

Going ahead to step 6:
24 divided by 83 is 0 with a remainder of 24.
Record the quotient 0 as the next digit in the result. 
Result so far: 1230.0
Deduct 0 from 24 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 7:
83 can be fit into 240 2 times, resulting in a remainder of 74.
Record the quotient 2 as the next digit in the result. 
Result so far: 1230.2
Deduct 166 from 240 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Advancing to step 8:
83 can be fit into 740 8 times, resulting in a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 1230.28
If we subtract 664 from 740, 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.

Step 9:
The number 83 fits into 760 9 times, leaving a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 1230.289
Subtract 747 from 760 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.

Going ahead to step 10:
If we divide 130 by 83, we get 1 and a remainder of 47.
The number 1 becomes the next digit in our result. 
Result so far: 1230.2891
If we take 83 away from 130, 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.

Let's proceed to step 11:
The number 83 fits into 470 5 times, leaving a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 1230.28915
If we take 415 away from 470, we end up with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 12:
If we divide 550 by 83, we get 6 and a remainder of 52.
Record the quotient 6 as the next digit in the result. 
Result so far: 1230.289156
If we subtract 498 from 550, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Let's proceed to step 13:
520 divided by 83 is 6 with a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 1230.2891566
If we subtract 498 from 520, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

The final result is 1230.2891566 with a remainder of 2.2e-07.