198677 ÷ 82 
Our goal is to divide 198677 by 82.

On to step 1:
82 goes into 1 0 times with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 82

Going ahead to step 2:
When dividing 19 by 82, we get 0 with a remainder of 19.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 19 after subtracting 0 from 19.
Bring next digit (8) of the dividend behind the 19 and repeat the process: 198 / 82

Going ahead to step 3:
If we divide 198 by 82, we get 2 and a remainder of 34.
Put 2 as the next digit of the answer. 
Result so far: 2.0
The remainder is 34 after subtracting 164 from 198.
Include the next digit (6) from the dividend after 34, then repeat: 346 / 82

Let's proceed to step 4:
The number 82 fits into 346 4 times, leaving a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 24.0
The remainder is 18 after subtracting 328 from 346.
Take the next digit (7) from the dividend and append it to 18, then repeat: 187 / 82

Advancing to step 5:
82 goes into 187 2 times with a remainder of 23.
The next digit of our result is 2. 
Result so far: 242.0
If we take 164 away from 187, we end up with 23.
Grab the next digit (7) from the dividend, add it to 23, then carry on: 237 / 82

Step 6:
When dividing 237 by 82, we get 2 with a remainder of 73.
Write down 2 as next digit of the result. 
Result so far: 2422.0
Subtract 164 from 237 to get 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Moving on to step 7:
82 goes into 730 8 times with a remainder of 74.
Use 8 as the next digit of our solution. 
Result so far: 2422.8
Subtract 656 from 730 to get 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Going ahead to step 8:
740 divided by 82 is 9 with a remainder of 2.
Write down 9 as next digit of the result. 
Result so far: 2422.89
Subtract 738 from 740 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 9:
The number 82 fits into 20 0 times, leaving a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 2422.89
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 10:
When dividing 200 by 82, we get 2 with a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 2422.8902
The remainder is 36 after subtracting 164 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 11:
82 can be fit into 360 4 times, resulting in a remainder of 32.
The number 4 becomes the next digit in our result. 
Result so far: 2422.89024
Subtract 328 from 360 to 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.

Let's proceed to step 12:
320 divided by 82 is 3 with a remainder of 74.
The next digit of our result is 3. 
Result so far: 2422.890243
The remainder is 74 after subtracting 246 from 320.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

On to step 13:
The number 82 fits into 740 9 times, leaving a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 2422.8902439
The remainder is 2 after subtracting 738 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 14:
20 divided by 82 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 2422.8902439
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 2422.8902439 with a balance of 2e-08.