We look at the division of 186677 by 82 
Our goal is to divide 186677 by 82.

Step 1:
82 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (8) of the dividend behind the 1 and repeat the process: 18 / 82

Going ahead to step 2:
The number 82 fits into 18 0 times, leaving a remainder of 18.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 18, we get 18.
Take the next digit (6) from the dividend and append it to 18, then repeat: 186 / 82

Advancing to step 3:
The number 82 fits into 186 2 times, leaving a remainder of 22.
Put 2 as the next digit of the answer. 
Result so far: 2.0
Deduct 164 from 186 and we're left with 22.
Fetch the next digit (6) from the dividend, attach it to 22 and continue: 226 / 82

Going ahead to step 4:
If we divide 226 by 82, we get 2 and a remainder of 62.
The number 2 becomes the next digit in our result. 
Result so far: 22.0
The remainder is 62 after subtracting 164 from 226.
Fetch the next digit (7) from the dividend, attach it to 62 and continue: 627 / 82

On to step 5:
82 goes into 627 7 times with a remainder of 53.
Use 7 as the next digit of our solution. 
Result so far: 227.0
If we subtract 574 from 627, we get 53.
Bring next digit (7) of the dividend behind the 53 and repeat the process: 537 / 82

Let's proceed to step 6:
537 divided by 82 is 6 with a remainder of 45.
Record the quotient 6 as the next digit in the result. 
Result so far: 2276.0
Subtracting 492 from 537 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 7:
If we divide 450 by 82, we get 5 and a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 2276.5
Deduct 410 from 450 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Step 8:
82 goes into 400 4 times with a remainder of 72.
Use 4 as the next digit of our solution. 
Result so far: 2276.54
If we subtract 328 from 400, we 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.

Moving on to step 9:
82 goes into 720 8 times with a remainder of 64.
Use 8 as the next digit of our solution. 
Result so far: 2276.548
The remainder is 64 after subtracting 656 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 10:
When dividing 640 by 82, we get 7 with a remainder of 66.
Record the quotient 7 as the next digit in the result. 
Result so far: 2276.5487
Subtract 574 from 640 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 11:
If we divide 660 by 82, we get 8 and a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 2276.54878
Subtracting 656 from 660 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 12:
40 divided by 82 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 2276.54878
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 13:
400 divided by 82 is 4 with a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 2276.5487804
If we subtract 328 from 400, we 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.

Advancing to step 14:
The number 82 fits into 720 8 times, leaving a remainder of 64.
The number 8 becomes the next digit in our result. 
Result so far: 2276.54878048
Subtract 656 from 720 to get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 2276.54878048 with a remaining 6.4e-08.