We're dividing 105458 by 82 
We're looking to find how many times 82 goes into 105458.

Let's proceed to step 1:
When dividing 1 by 82, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 82

Step 2:
The number 82 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 82

On to step 3:
If we divide 105 by 82, we get 1 and a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we take 82 away from 105, we end up with 23.
Take the next digit (4) from the dividend and append it to 23, then repeat: 234 / 82

Advancing to step 4:
82 can be fit into 234 2 times, resulting in a remainder of 70.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 164 from 234, we get 70.
Grab the next digit (5) from the dividend, add it to 70, then carry on: 705 / 82

Step 5:
When dividing 705 by 82, we get 8 with a remainder of 49.
The next digit of our result is 8. 
Result so far: 128.0
If we take 656 away from 705, we end up with 49.
Fetch the next digit (8) from the dividend, attach it to 49 and continue: 498 / 82

Advancing to step 6:
82 goes into 498 6 times with a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 1286.0
Subtracting 492 from 498 leaves us with 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:
The number 82 fits into 60 0 times, leaving a remainder of 60.
The next digit of our result is 0. 
Result so far: 1286.0
If we subtract 0 from 60, we get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 8:
82 goes into 600 7 times with a remainder of 26.
Write down 7 as next digit of the result. 
Result so far: 1286.07
The remainder is 26 after subtracting 574 from 600.
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:
260 divided by 82 is 3 with a remainder of 14.
Put 3 as the next digit of the answer. 
Result so far: 1286.073
The remainder is 14 after subtracting 246 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 10:
If we divide 140 by 82, we get 1 and a remainder of 58.
The next digit of our result is 1. 
Result so far: 1286.0731
Deduct 82 from 140 and we're left 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.

Going ahead to step 11:
82 goes into 580 7 times with a remainder of 6.
Put 7 as the next digit of the answer. 
Result so far: 1286.07317
If we subtract 574 from 580, we 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.

Moving on to step 12:
82 can be fit into 60 0 times, resulting in a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 1286.07317
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.

Going ahead to step 13:
82 goes into 600 7 times with a remainder of 26.
The next digit of our result is 7. 
Result so far: 1286.0731707
The remainder is 26 after subtracting 574 from 600.
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 14:
If we divide 260 by 82, we get 3 and a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 1286.07317073
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.

Our division results in 1286.07317073 with a remaining 1.4e-08.