We look at the division of 668398 by 13 
We want to divide 668398 by 13.

Advancing to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 13

Let's proceed to step 2:
When dividing 66 by 13, we get 5 with a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 65 from 66 leaves us with 1.
Take the next digit (8) from the dividend and append it to 1, then repeat: 18 / 13

Let's proceed to step 3:
13 goes into 18 1 times with a remainder of 5.
Write down 1 as next digit of the result. 
Result so far: 51.0
If we subtract 13 from 18, we get 5.
Fetch the next digit (3) from the dividend, attach it to 5 and continue: 53 / 13

Step 4:
53 divided by 13 is 4 with a remainder of 1.
The next digit of our result is 4. 
Result so far: 514.0
If we take 52 away from 53, we end up with 1.
Bring next digit (9) of the dividend behind the 1 and repeat the process: 19 / 13

Advancing to step 5:
When dividing 19 by 13, we get 1 with a remainder of 6.
Use 1 as the next digit of our solution. 
Result so far: 5141.0
Subtracting 13 from 19 leaves us with 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 13

Advancing to step 6:
If we divide 68 by 13, we get 5 and a remainder of 3.
The number 5 becomes the next digit in our result. 
Result so far: 51415.0
Deduct 65 from 68 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.

Let's proceed to step 7:
13 can be fit into 30 2 times, resulting in a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 51415.2
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.

On to step 8:
The number 13 fits into 40 3 times, leaving a remainder of 1.
The next digit of our result is 3. 
Result so far: 51415.23
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.

Advancing to step 9:
If we divide 10 by 13, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 51415.23
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.

Step 10:
If we divide 100 by 13, we get 7 and a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 51415.2307
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.

Moving on to step 11:
If we divide 90 by 13, we get 6 and a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 51415.23076
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.

Step 12:
120 divided by 13 is 9 with a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 51415.230769
If we take 117 away from 120, we end up 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.

Let's proceed to step 13:
If we divide 30 by 13, we get 2 and a remainder of 4.
Record the quotient 2 as the next digit in the result. 
Result so far: 51415.2307692
If we take 26 away from 30, we end up with 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 14:
13 goes into 40 3 times with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 51415.23076923
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.

Our division results in 51415.23076923 with a remaining 1e-09.