Let's divide 553205 by 13
We want to figure out the number of times 553205 can be divided by 13.

On to step 1:
13 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 13

Let's proceed to step 2:
13 goes into 55 4 times with a remainder of 3.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 52 away from 55, we end up with 3.
Include the next digit (3) from the dividend after 3, then repeat: 33 / 13

Step 3:
If we divide 33 by 13, we get 2 and a remainder of 7.
The number 2 becomes the next digit in our result. 
Result so far: 42.0
Subtract 26 from 33 to get 7.
Append the next digit (2) from the dividend to 7 and continue with: 72 / 13

Let's proceed to step 4:
13 goes into 72 5 times with a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 425.0
Subtract 65 from 72 to get 7.
Append the next digit (0) from the dividend to 7 and continue with: 70 / 13

Step 5:
The number 13 fits into 70 5 times, leaving a remainder of 5.
The next digit of our result is 5. 
Result so far: 4255.0
Subtracting 65 from 70 leaves us with 5.
Fetch the next digit (5) from the dividend, attach it to 5 and continue: 55 / 13

On to step 6:
13 goes into 55 4 times with a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 42554.0
Subtract 52 from 55 to 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 7:
If we divide 30 by 13, we get 2 and a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 42554.2
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.

Let's proceed to step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 42554.23
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 9:
When dividing 10 by 13, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 42554.23
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.

Going ahead to step 10:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 42554.2307
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.

Going ahead to step 11:
13 goes into 90 6 times with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 42554.23076
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.

Going ahead to step 12:
120 divided by 13 is 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 42554.230769
The remainder is 3 after subtracting 117 from 120.
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 13:
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: 42554.2307692
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.

Let's proceed to step 14:
13 goes into 40 3 times with a remainder of 1.
The next digit of our result is 3. 
Result so far: 42554.23076923
Subtracting 39 from 40 leaves us 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.

After the division, we end up with 42554.23076923 and a remainder of 1e-09.