We're dividing 354601 by 82 
We want to divide 354601 by 82.

Advancing to step 1:
3 divided by 82 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 82

Going ahead to step 2:
35 divided by 82 is 0 with a remainder of 35.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 35 leaves us with 35.
Fetch the next digit (4) from the dividend, attach it to 35 and continue: 354 / 82

On to step 3:
If we divide 354 by 82, we get 4 and a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 4.0
Deduct 328 from 354 and we're left with 26.
Grab the next digit (6) from the dividend, add it to 26, then carry on: 266 / 82

Going ahead to step 4:
82 goes into 266 3 times with a remainder of 20.
The next digit of our result is 3. 
Result so far: 43.0
Subtracting 246 from 266 leaves us with 20.
Fetch the next digit (0) from the dividend, attach it to 20 and continue: 200 / 82

On to step 5:
200 divided by 82 is 2 with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 432.0
If we subtract 164 from 200, we get 36.
Grab the next digit (1) from the dividend, add it to 36, then carry on: 361 / 82

Moving on to step 6:
When dividing 361 by 82, we get 4 with a remainder of 33.
The next digit of our result is 4. 
Result so far: 4324.0
Deduct 328 from 361 and we're left with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 7:
When dividing 330 by 82, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 4324.4
Subtracting 328 from 330 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
82 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 4324.4
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
82 goes into 200 2 times with a remainder of 36.
The number 2 becomes the next digit in our result. 
Result so far: 4324.402
If we take 164 away from 200, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Step 10:
When dividing 360 by 82, we get 4 with a remainder of 32.
The next digit of our result is 4. 
Result so far: 4324.4024
Subtracting 328 from 360 leaves us with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

Advancing to step 11:
320 divided by 82 is 3 with a remainder of 74.
The number 3 becomes the next digit in our result. 
Result so far: 4324.40243
Deduct 246 from 320 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.

On to step 12:
When dividing 740 by 82, we get 9 with a remainder of 2.
Use 9 as the next digit of our solution. 
Result so far: 4324.402439
If we take 738 away from 740, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 13:
82 goes into 20 0 times with a remainder of 20.
The next digit of our result is 0. 
Result so far: 4324.402439
If we subtract 0 from 20, we 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.

Advancing to step 14:
82 can be fit into 200 2 times, resulting in a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 4324.40243902
Deduct 164 from 200 and we're left with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

In conclusion, the division gives 4324.40243902 with a balance of 3.6e-08.