We look at the division of 359217 by 13 
Our goal is to divide 359217 by 13.

Step 1:
If we divide 3 by 13, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Grab the next digit (5) from the dividend, add it to 3, then carry on: 35 / 13

Advancing to step 2:
The number 13 fits into 35 2 times, leaving a remainder of 9.
The next digit of our result is 2. 
Result so far: 2.0
If we take 26 away from 35, we end up with 9.
Grab the next digit (9) from the dividend, add it to 9, then carry on: 99 / 13

Step 3:
The number 13 fits into 99 7 times, leaving a remainder of 8.
The number 7 becomes the next digit in our result. 
Result so far: 27.0
Deduct 91 from 99 and we're left with 8.
Append the next digit (2) from the dividend to 8 and continue with: 82 / 13

On to step 4:
The number 13 fits into 82 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 276.0
Deduct 78 from 82 and we're left with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 13

Step 5:
13 can be fit into 41 3 times, resulting in a remainder of 2.
Write down 3 as next digit of the result. 
Result so far: 2763.0
If we take 39 away from 41, we end up with 2.
Include the next digit (7) from the dividend after 2, then repeat: 27 / 13

Going ahead to step 6:
The number 13 fits into 27 2 times, leaving a remainder of 1.
Record the quotient 2 as the next digit in the result. 
Result so far: 27632.0
If we take 26 away from 27, we end up 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.

Step 7:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 27632.0
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.

Advancing to step 8:
When dividing 100 by 13, we get 7 with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 27632.07
Subtract 91 from 100 to 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.

Let's proceed to step 9:
If we divide 90 by 13, we get 6 and a remainder of 12.
The next digit of our result is 6. 
Result so far: 27632.076
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.

Step 10:
When dividing 120 by 13, we get 9 with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 27632.0769
Deduct 117 from 120 and we're left 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 11:
The number 13 fits into 30 2 times, leaving a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 27632.07692
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 12:
13 can be fit into 40 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 27632.076923
If we subtract 39 from 40, we get 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 13:
13 goes into 10 0 times with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 27632.076923
Subtract 0 from 10 to 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.

Step 14:
If we divide 100 by 13, we get 7 and a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 27632.07692307
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.

The final result is 27632.07692307 with a remainder of 9e-09.