We're dividing 935617 by 91 
Our goal is to divide 935617 by 91.

Advancing to step 1:
91 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Include the next digit (3) from the dividend after 9, then repeat: 93 / 91

Step 2:
93 divided by 91 is 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 2 after subtracting 91 from 93.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 91

On to step 3:
91 can be fit into 25 0 times, resulting in a remainder of 25.
Write down 0 as next digit of the result. 
Result so far: 10.0
If we subtract 0 from 25, we get 25.
Grab the next digit (6) from the dividend, add it to 25, then carry on: 256 / 91

Let's proceed to step 4:
256 divided by 91 is 2 with a remainder of 74.
Record the quotient 2 as the next digit in the result. 
Result so far: 102.0
If we take 182 away from 256, we end up with 74.
Bring next digit (1) of the dividend behind the 74 and repeat the process: 741 / 91

Going ahead to step 5:
91 goes into 741 8 times with a remainder of 13.
Use 8 as the next digit of our solution. 
Result so far: 1028.0
The remainder is 13 after subtracting 728 from 741.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 91

On to step 6:
91 goes into 137 1 times with a remainder of 46.
Record the quotient 1 as the next digit in the result. 
Result so far: 10281.0
Subtracting 91 from 137 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 7:
91 can be fit into 460 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 10281.5
Subtracting 455 from 460 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
91 can be fit into 50 0 times, resulting in a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 10281.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 9:
500 divided by 91 is 5 with a remainder of 45.
The next digit of our result is 5. 
Result so far: 10281.505
Subtract 455 from 500 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 10:
When dividing 450 by 91, we get 4 with a remainder of 86.
Use 4 as the next digit of our solution. 
Result so far: 10281.5054
If we subtract 364 from 450, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 11:
860 divided by 91 is 9 with a remainder of 41.
The number 9 becomes the next digit in our result. 
Result so far: 10281.50549
If we subtract 819 from 860, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 12:
If we divide 410 by 91, we get 4 and a remainder of 46.
Put 4 as the next digit of the answer. 
Result so far: 10281.505494
If we take 364 away from 410, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 13:
The number 91 fits into 460 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 10281.5054945
Subtracting 455 from 460 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 14:
50 divided by 91 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 10281.5054945
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The quotient of the division is 10281.5054945, and the remainder is 5e-08.