355053 ÷ 13 
We're looking to find how many times 13 goes into 355053.

Let's proceed to step 1:
13 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 13

Going ahead to step 2:
If we divide 35 by 13, we get 2 and a remainder of 9.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 26 from 35 leaves us with 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 13

Going ahead to step 3:
When dividing 95 by 13, we get 7 with a remainder of 4.
Write down 7 as next digit of the result. 
Result so far: 27.0
Subtracting 91 from 95 leaves us with 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 13

On to step 4:
40 divided by 13 is 3 with a remainder of 1.
Put 3 as the next digit of the answer. 
Result so far: 273.0
If we subtract 39 from 40, we get 1.
Bring next digit (5) of the dividend behind the 1 and repeat the process: 15 / 13

Step 5:
15 divided by 13 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 2731.0
Deduct 13 from 15 and we're left with 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 13

Step 6:
The number 13 fits into 23 1 times, leaving a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 27311.0
If we take 13 away from 23, 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.

On to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 27311.7
The remainder is 9 after subtracting 91 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 8:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 27311.76
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.

Advancing to step 9:
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: 27311.769
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.

Moving on to step 10:
13 goes into 30 2 times with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 27311.7692
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.

Step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
The next digit of our result is 3. 
Result so far: 27311.76923
Subtract 39 from 40 to 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.

Going ahead 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: 27311.76923
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.

Going ahead to step 13:
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: 27311.7692307
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 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 27311.76923076
Subtracting 78 from 90 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final outcome is 27311.76923076, with a leftover of 1.2e-08.