We're dividing 102702 by 82 
Our goal is to divide 102702 by 82.

Step 1:
The number 82 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 82

On to step 2:
82 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Bring next digit (2) of the dividend behind the 10 and repeat the process: 102 / 82

On to step 3:
82 goes into 102 1 times with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 82 from 102 and we're left with 20.
Grab the next digit (7) from the dividend, add it to 20, then carry on: 207 / 82

Step 4:
82 goes into 207 2 times with a remainder of 43.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 43 after subtracting 164 from 207.
Grab the next digit (0) from the dividend, add it to 43, then carry on: 430 / 82

Let's proceed to step 5:
If we divide 430 by 82, we get 5 and a remainder of 20.
Use 5 as the next digit of our solution. 
Result so far: 125.0
Deduct 410 from 430 and we're left with 20.
Include the next digit (2) from the dividend after 20, then repeat: 202 / 82

Moving on to step 6:
When dividing 202 by 82, we get 2 with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 1252.0
If we subtract 164 from 202, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 7:
If we divide 380 by 82, we get 4 and a remainder of 52.
Write down 4 as next digit of the result. 
Result so far: 1252.4
If we take 328 away from 380, we end up with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Advancing to step 8:
If we divide 520 by 82, we get 6 and a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 1252.46
If we subtract 492 from 520, we get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 9:
82 can be fit into 280 3 times, resulting in a remainder of 34.
Use 3 as the next digit of our solution. 
Result so far: 1252.463
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 10:
The number 82 fits into 340 4 times, leaving a remainder of 12.
Write down 4 as next digit of the result. 
Result so far: 1252.4634
Subtract 328 from 340 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 11:
The number 82 fits into 120 1 times, leaving a remainder of 38.
Write down 1 as next digit of the result. 
Result so far: 1252.46341
If we subtract 82 from 120, we get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 12:
82 can be fit into 380 4 times, resulting in a remainder of 52.
The next digit of our result is 4. 
Result so far: 1252.463414
Deduct 328 from 380 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

On to step 13:
82 goes into 520 6 times with a remainder of 28.
Record the quotient 6 as the next digit in the result. 
Result so far: 1252.4634146
Deduct 492 from 520 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Let's proceed to step 14:
280 divided by 82 is 3 with a remainder of 34.
Write down 3 as next digit of the result. 
Result so far: 1252.46341463
Subtracting 246 from 280 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Our division results in 1252.46341463 with a remaining 3.4e-08.