We look at the division of 105407 by 91 
We're looking to find how many times 91 goes into 105407.

Advancing to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 91

Going ahead to step 2:
10 divided by 91 is 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Include the next digit (5) from the dividend after 10, then repeat: 105 / 91

Advancing to step 3:
The number 91 fits into 105 1 times, leaving a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 91 from 105 leaves us with 14.
Include the next digit (4) from the dividend after 14, then repeat: 144 / 91

Moving on to step 4:
91 can be fit into 144 1 times, resulting in a remainder of 53.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
The remainder is 53 after subtracting 91 from 144.
Bring next digit (0) of the dividend behind the 53 and repeat the process: 530 / 91

Going ahead to step 5:
If we divide 530 by 91, we get 5 and a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 115.0
If we subtract 455 from 530, we get 75.
Fetch the next digit (7) from the dividend, attach it to 75 and continue: 757 / 91

Step 6:
91 goes into 757 8 times with a remainder of 29.
Record the quotient 8 as the next digit in the result. 
Result so far: 1158.0
If we subtract 728 from 757, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Step 7:
91 can be fit into 290 3 times, resulting in a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1158.3
Deduct 273 from 290 and we're left with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 8:
When dividing 170 by 91, we get 1 with a remainder of 79.
Put 1 as the next digit of the answer. 
Result so far: 1158.31
Deduct 91 from 170 and we're left with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Going ahead to step 9:
The number 91 fits into 790 8 times, leaving a remainder of 62.
The next digit of our result is 8. 
Result so far: 1158.318
If we take 728 away from 790, we end up with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 10:
The number 91 fits into 620 6 times, leaving a remainder of 74.
Write down 6 as next digit of the result. 
Result so far: 1158.3186
If we subtract 546 from 620, we 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 11:
When dividing 740 by 91, we get 8 with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 1158.31868
The remainder is 12 after subtracting 728 from 740.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 12:
120 divided by 91 is 1 with a remainder of 29.
Write down 1 as next digit of the result. 
Result so far: 1158.318681
The remainder is 29 after subtracting 91 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Advancing to step 13:
The number 91 fits into 290 3 times, leaving a remainder of 17.
Use 3 as the next digit of our solution. 
Result so far: 1158.3186813
The remainder is 17 after subtracting 273 from 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 14:
170 divided by 91 is 1 with a remainder of 79.
Write down 1 as next digit of the result. 
Result so far: 1158.31868131
If we take 91 away from 170, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

The final outcome is 1158.31868131, with a leftover of 7.9e-08.