We look at the division of 425682 by 82 
We're looking to find how many times 82 goes into 425682.

Step 1:
82 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 82

Advancing to step 2:
The number 82 fits into 42 0 times, leaving a remainder of 42.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 42 and we're left with 42.
Include the next digit (5) from the dividend after 42, then repeat: 425 / 82

Advancing to step 3:
The number 82 fits into 425 5 times, leaving a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 5.0
Deduct 410 from 425 and we're left with 15.
Fetch the next digit (6) from the dividend, attach it to 15 and continue: 156 / 82

On to step 4:
82 goes into 156 1 times with a remainder of 74.
The next digit of our result is 1. 
Result so far: 51.0
If we subtract 82 from 156, we get 74.
Grab the next digit (8) from the dividend, add it to 74, then carry on: 748 / 82

On to step 5:
When dividing 748 by 82, we get 9 with a remainder of 10.
The number 9 becomes the next digit in our result. 
Result so far: 519.0
Subtracting 738 from 748 leaves us with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 82

Advancing to step 6:
102 divided by 82 is 1 with a remainder of 20.
The next digit of our result is 1. 
Result so far: 5191.0
If we take 82 away from 102, we end up 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.

Let's proceed to step 7:
The number 82 fits into 200 2 times, leaving a remainder of 36.
Put 2 as the next digit of the answer. 
Result so far: 5191.2
Subtracting 164 from 200 leaves us 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.

On to step 8:
82 goes into 360 4 times with a remainder of 32.
Write down 4 as next digit of the result. 
Result so far: 5191.24
The remainder is 32 after subtracting 328 from 360.
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 9:
When dividing 320 by 82, we get 3 with a remainder of 74.
Use 3 as the next digit of our solution. 
Result so far: 5191.243
Subtract 246 from 320 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.

Moving on to step 10:
If we divide 740 by 82, we get 9 and a remainder of 2.
The number 9 becomes the next digit in our result. 
Result so far: 5191.2439
Deduct 738 from 740 and we're left 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.

Moving on to step 11:
82 goes into 20 0 times with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5191.2439
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.

Going ahead to step 12:
200 divided by 82 is 2 with a remainder of 36.
Record the quotient 2 as the next digit in the result. 
Result so far: 5191.243902
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.

Let's proceed to step 13:
The number 82 fits into 360 4 times, leaving a remainder of 32.
The next digit of our result is 4. 
Result so far: 5191.2439024
Deduct 328 from 360 and we're left 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.

Moving on to step 14:
The number 82 fits into 320 3 times, leaving a remainder of 74.
Use 3 as the next digit of our solution. 
Result so far: 5191.24390243
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.

The quotient of the division is 5191.24390243, and the remainder is 7.4e-08.