935583 divided by 13 
We want to divide 935583 by 13.

Step 1:
13 can be fit into 9 0 times, resulting in a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Append the next digit (3) from the dividend to 9 and continue with: 93 / 13

On to step 2:
If we divide 93 by 13, we get 7 and a remainder of 2.
Write down 7 as next digit of the result. 
Result so far: 7.0
Deduct 91 from 93 and we're left with 2.
Grab the next digit (5) from the dividend, add it to 2, then carry on: 25 / 13

Advancing to step 3:
13 goes into 25 1 times with a remainder of 12.
Record the quotient 1 as the next digit in the result. 
Result so far: 71.0
Deduct 13 from 25 and we're left with 12.
Append the next digit (5) from the dividend to 12 and continue with: 125 / 13

Step 4:
The number 13 fits into 125 9 times, leaving a remainder of 8.
The number 9 becomes the next digit in our result. 
Result so far: 719.0
Subtracting 117 from 125 leaves us with 8.
Take the next digit (8) from the dividend and append it to 8, then repeat: 88 / 13

Advancing to step 5:
The number 13 fits into 88 6 times, leaving a remainder of 10.
Record the quotient 6 as the next digit in the result. 
Result so far: 7196.0
The remainder is 10 after subtracting 78 from 88.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 13

Moving on to step 6:
13 can be fit into 103 7 times, resulting in a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 71967.0
The remainder is 12 after subtracting 91 from 103.
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 7:
If we divide 120 by 13, we get 9 and a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 71967.9
Subtracting 117 from 120 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 8:
13 goes into 30 2 times with a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 71967.92
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 9:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 71967.923
The remainder is 1 after subtracting 39 from 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 10:
If we divide 10 by 13, we get 0 and a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 71967.923
If we take 0 away from 10, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Let's proceed to step 11:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The next digit of our result is 7. 
Result so far: 71967.92307
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 12:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 71967.923076
If we subtract 78 from 90, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 13:
120 divided by 13 is 9 with a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 71967.9230769
If we subtract 117 from 120, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 14:
13 goes into 30 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 71967.92307692
The remainder is 4 after subtracting 26 from 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The final outcome is 71967.92307692, with a leftover of 4e-09.