We're dividing 82632 by 82 
We want to divide 82632 by 82.

On to step 1:
The number 82 fits into 8 0 times, leaving a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Grab the next digit (2) from the dividend, add it to 8, then carry on: 82 / 82

Going ahead to step 2:
When dividing 82 by 82, we get 1 with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Deduct 82 from 82 and we're left with 0.
Grab the next digit (6) from the dividend, add it to 0, then carry on: 6 / 82

Step 3:
If we divide 6 by 82, we get 0 and a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 10.0
The remainder is 6 after subtracting 0 from 6.
Grab the next digit (3) from the dividend, add it to 6, then carry on: 63 / 82

Going ahead to step 4:
The number 82 fits into 63 0 times, leaving a remainder of 63.
Put 0 as the next digit of the answer. 
Result so far: 100.0
Subtract 0 from 63 to get 63.
Grab the next digit (2) from the dividend, add it to 63, then carry on: 632 / 82

Let's proceed to step 5:
When dividing 632 by 82, we get 7 with a remainder of 58.
The next digit of our result is 7. 
Result so far: 1007.0
Subtract 574 from 632 to get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 6:
When dividing 580 by 82, we get 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 1007.7
Subtract 574 from 580 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

On to step 7:
When dividing 60 by 82, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 1007.7
Subtracting 0 from 60 leaves us with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Going ahead to step 8:
When dividing 600 by 82, we get 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 1007.707
If we take 574 away from 600, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 9:
If we divide 260 by 82, we get 3 and a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 1007.7073
Subtract 246 from 260 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 10:
82 goes into 140 1 times with a remainder of 58.
Record the quotient 1 as the next digit in the result. 
Result so far: 1007.70731
If we take 82 away from 140, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

On to step 11:
580 divided by 82 is 7 with a remainder of 6.
Write down 7 as next digit of the result. 
Result so far: 1007.707317
Subtract 574 from 580 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
When dividing 60 by 82, we get 0 with a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 1007.707317
If we take 0 away from 60, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

On to step 13:
When dividing 600 by 82, we get 7 with a remainder of 26.
Use 7 as the next digit of our solution. 
Result so far: 1007.70731707
Deduct 574 from 600 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

After the division, we end up with 1007.70731707 and a remainder of 2.6e-08.