105107 divided by 82 
Our goal is to divide 105107 by 82.

Step 1:
The number 82 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (0) from the dividend, attach it to 1 and continue: 10 / 82

Let's proceed to step 2:
The number 82 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 82

Advancing to step 3:
82 can be fit into 105 1 times, resulting in a remainder of 23.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 82 from 105, we get 23.
Append the next digit (1) from the dividend to 23 and continue with: 231 / 82

Moving on to step 4:
82 goes into 231 2 times with a remainder of 67.
Use 2 as the next digit of our solution. 
Result so far: 12.0
Subtract 164 from 231 to get 67.
Append the next digit (0) from the dividend to 67 and continue with: 670 / 82

Let's proceed to step 5:
82 can be fit into 670 8 times, resulting in a remainder of 14.
Use 8 as the next digit of our solution. 
Result so far: 128.0
The remainder is 14 after subtracting 656 from 670.
Fetch the next digit (7) from the dividend, attach it to 14 and continue: 147 / 82

Advancing to step 6:
147 divided by 82 is 1 with a remainder of 65.
Write down 1 as next digit of the result. 
Result so far: 1281.0
Subtract 82 from 147 to get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Going ahead to step 7:
When dividing 650 by 82, we get 7 with a remainder of 76.
Record the quotient 7 as the next digit in the result. 
Result so far: 1281.7
Subtracting 574 from 650 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 8:
If we divide 760 by 82, we get 9 and a remainder of 22.
Put 9 as the next digit of the answer. 
Result so far: 1281.79
Deduct 738 from 760 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 9:
When dividing 220 by 82, we get 2 with a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 1281.792
If we take 164 away from 220, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
The number 82 fits into 560 6 times, leaving a remainder of 68.
The next digit of our result is 6. 
Result so far: 1281.7926
Subtract 492 from 560 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Step 11:
The number 82 fits into 680 8 times, leaving a remainder of 24.
Record the quotient 8 as the next digit in the result. 
Result so far: 1281.79268
If we subtract 656 from 680, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
When dividing 240 by 82, we get 2 with a remainder of 76.
Write down 2 as next digit of the result. 
Result so far: 1281.792682
Deduct 164 from 240 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 13:
760 divided by 82 is 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 1281.7926829
Subtracting 738 from 760 leaves us with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 14:
82 can be fit into 220 2 times, resulting in a remainder of 56.
The number 2 becomes the next digit in our result. 
Result so far: 1281.79268292
The remainder is 56 after subtracting 164 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

In conclusion, the division gives 1281.79268292 with a balance of 5.6e-08.