We divide 350653 by 13
Let's see how many times 13 fits into 350653.

Advancing to step 1:
The number 13 fits into 3 0 times, leaving a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 13

Let's proceed 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
Subtracting 26 from 35 leaves us with 9.
Fetch the next digit (0) from the dividend, attach it to 9 and continue: 90 / 13

Moving on to step 3:
If we divide 90 by 13, we get 6 and a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 26.0
The remainder is 12 after subtracting 78 from 90.
Grab the next digit (6) from the dividend, add it to 12, then carry on: 126 / 13

On to step 4:
13 goes into 126 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 269.0
Deduct 117 from 126 and we're left with 9.
Append the next digit (5) from the dividend to 9 and continue with: 95 / 13

Moving on to step 5:
The number 13 fits into 95 7 times, leaving a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 2697.0
If we take 91 away from 95, we end up with 4.
Grab the next digit (3) from the dividend, add it to 4, then carry on: 43 / 13

Step 6:
13 can be fit into 43 3 times, resulting in a remainder of 4.
Use 3 as the next digit of our solution. 
Result so far: 26973.0
If we subtract 39 from 43, we 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.

Advancing to step 7:
If we divide 40 by 13, we get 3 and a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 26973.3
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.

Step 8:
When dividing 10 by 13, we get 0 with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 26973.3
The remainder is 10 after subtracting 0 from 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 9:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The next digit of our result is 7. 
Result so far: 26973.307
Deduct 91 from 100 and we're left 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 10:
90 divided by 13 is 6 with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 26973.3076
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.

On to step 11:
13 can be fit into 120 9 times, resulting in a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 26973.30769
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.

On to step 12:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 26973.307692
If we subtract 26 from 30, we 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.

Advancing to step 13:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 26973.3076923
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 14:
13 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 26973.3076923
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.

After the division, we end up with 26973.3076923 and a remainder of 1e-08.