105808 divided by 91 
We're looking to find how many times 91 goes into 105808.

On to step 1:
If we divide 1 by 91, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 91

Moving on to step 2:
If we divide 10 by 91, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 10, we end up with 10.
Append the next digit (5) from the dividend to 10 and continue with: 105 / 91

Going ahead to step 3:
The number 91 fits into 105 1 times, leaving a remainder of 14.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 14 after subtracting 91 from 105.
Take the next digit (8) from the dividend and append it to 14, then repeat: 148 / 91

Moving on to step 4:
The number 91 fits into 148 1 times, leaving a remainder of 57.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 57 after subtracting 91 from 148.
Fetch the next digit (0) from the dividend, attach it to 57 and continue: 570 / 91

On to step 5:
91 goes into 570 6 times with a remainder of 24.
The next digit of our result is 6. 
Result so far: 116.0
If we take 546 away from 570, we end up with 24.
Bring next digit (8) of the dividend behind the 24 and repeat the process: 248 / 91

On to step 6:
248 divided by 91 is 2 with a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 1162.0
Deduct 182 from 248 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 7:
91 can be fit into 660 7 times, resulting in a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 1162.7
Subtracting 637 from 660 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Let's proceed to step 8:
When dividing 230 by 91, we get 2 with a remainder of 48.
The next digit of our result is 2. 
Result so far: 1162.72
If we subtract 182 from 230, we get 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 9:
480 divided by 91 is 5 with a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 1162.725
Deduct 455 from 480 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 10:
91 goes into 250 2 times with a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 1162.7252
If we subtract 182 from 250, we 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.

Let's proceed to step 11:
680 divided by 91 is 7 with a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 1162.72527
Deduct 637 from 680 and we're left with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Going ahead to step 12:
91 can be fit into 430 4 times, resulting in a remainder of 66.
Put 4 as the next digit of the answer. 
Result so far: 1162.725274
Deduct 364 from 430 and we're left with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Moving on to step 13:
If we divide 660 by 91, we get 7 and a remainder of 23.
Write down 7 as next digit of the result. 
Result so far: 1162.7252747
Subtract 637 from 660 to get 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Going ahead to step 14:
91 can be fit into 230 2 times, resulting in a remainder of 48.
Write down 2 as next digit of the result. 
Result so far: 1162.72527472
Deduct 182 from 230 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

In conclusion, the division gives 1162.72527472 with a balance of 4.8e-08.