10417 divided by 91 
Our goal is to divide 10417 by 91.

Advancing to step 1:
When dividing 1 by 91, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 91

Going ahead to step 2:
91 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (4) from the dividend, attach it to 10 and continue: 104 / 91

Going ahead to step 3:
If we divide 104 by 91, we get 1 and a remainder of 13.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Deduct 91 from 104 and we're left with 13.
Bring next digit (1) of the dividend behind the 13 and repeat the process: 131 / 91

Going ahead to step 4:
131 divided by 91 is 1 with a remainder of 40.
Record the quotient 1 as the next digit in the result. 
Result so far: 11.0
Deduct 91 from 131 and we're left with 40.
Include the next digit (7) from the dividend after 40, then repeat: 407 / 91

Advancing to step 5:
When dividing 407 by 91, we get 4 with a remainder of 43.
Use 4 as the next digit of our solution. 
Result so far: 114.0
Subtracting 364 from 407 leaves us 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.

Moving on to step 6:
The number 91 fits into 430 4 times, leaving a remainder of 66.
The number 4 becomes the next digit in our result. 
Result so far: 114.4
Subtract 364 from 430 to get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Step 7:
91 goes into 660 7 times with a remainder of 23.
Use 7 as the next digit of our solution. 
Result so far: 114.47
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.

On to step 8:
91 goes into 230 2 times with a remainder of 48.
Use 2 as the next digit of our solution. 
Result so far: 114.472
Subtract 182 from 230 to 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.
Use 5 as the next digit of our solution. 
Result so far: 114.4725
Subtracting 455 from 480 leaves us 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.

Let's proceed to step 10:
The number 91 fits into 250 2 times, leaving a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 114.47252
Deduct 182 from 250 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 11:
91 goes into 680 7 times with a remainder of 43.
Record the quotient 7 as the next digit in the result. 
Result so far: 114.472527
Subtracting 637 from 680 leaves us 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.

Advancing to step 12:
If we divide 430 by 91, we get 4 and a remainder of 66.
The next digit of our result is 4. 
Result so far: 114.4725274
If we subtract 364 from 430, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Let's proceed to step 13:
When dividing 660 by 91, we get 7 with a remainder of 23.
Record the quotient 7 as the next digit in the result. 
Result so far: 114.47252747
If we subtract 637 from 660, we 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.

After the division, we end up with 114.47252747 and a remainder of 2.3e-08.