We look at the division of 357783 by 13 
We want to divide 357783 by 13.

Step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Advancing to step 2:
When dividing 35 by 13, we get 2 with a remainder of 9.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we subtract 26 from 35, we get 9.
Include the next digit (7) from the dividend after 9, then repeat: 97 / 13

Moving on to step 3:
When dividing 97 by 13, we get 7 with a remainder of 6.
The next digit of our result is 7. 
Result so far: 27.0
If we subtract 91 from 97, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 13

On to step 4:
The number 13 fits into 67 5 times, leaving a remainder of 2.
The number 5 becomes the next digit in our result. 
Result so far: 275.0
If we take 65 away from 67, we end up with 2.
Append the next digit (8) from the dividend to 2 and continue with: 28 / 13

Moving on to step 5:
28 divided by 13 is 2 with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2752.0
Subtracting 26 from 28 leaves us with 2.
Append the next digit (3) from the dividend to 2 and continue with: 23 / 13

On to step 6:
23 divided by 13 is 1 with a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 27521.0
Subtracting 13 from 23 leaves us 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.

Moving on to step 7:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 27521.7
If we take 91 away from 100, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 8:
13 goes into 90 6 times with a remainder of 12.
Write down 6 as next digit of the result. 
Result so far: 27521.76
Subtract 78 from 90 to 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.

Let's proceed to step 9:
If we divide 120 by 13, we get 9 and a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 27521.769
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.

Let's proceed to step 10:
When dividing 30 by 13, we get 2 with a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 27521.7692
Subtract 26 from 30 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 11:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 27521.76923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 12:
13 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 27521.76923
If we subtract 0 from 10, we get 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 13:
100 divided by 13 is 7 with a remainder of 9.
Put 7 as the next digit of the answer. 
Result so far: 27521.7692307
Subtracting 91 from 100 leaves us with 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 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 27521.76923076
The remainder is 12 after subtracting 78 from 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Our division results in 27521.76923076 with a remaining 1.2e-08.