We're dividing 665778 by 13 
We're looking to find how many times 13 goes into 665778.

On to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Include the next digit (6) from the dividend after 6, then repeat: 66 / 13

Let's proceed to step 2:
66 divided by 13 is 5 with a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 5.0
The remainder is 1 after subtracting 65 from 66.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 13

Let's proceed to step 3:
When dividing 15 by 13, we get 1 with a remainder of 2.
Put 1 as the next digit of the answer. 
Result so far: 51.0
The remainder is 2 after subtracting 13 from 15.
Append the next digit (7) from the dividend to 2 and continue with: 27 / 13

Moving on to step 4:
If we divide 27 by 13, we get 2 and a remainder of 1.
The next digit of our result is 2. 
Result so far: 512.0
Subtracting 26 from 27 leaves us with 1.
Grab the next digit (7) from the dividend, add it to 1, then carry on: 17 / 13

Step 5:
When dividing 17 by 13, we get 1 with a remainder of 4.
The number 1 becomes the next digit in our result. 
Result so far: 5121.0
Subtract 13 from 17 to get 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 13

Let's proceed to step 6:
The number 13 fits into 48 3 times, leaving a remainder of 9.
The number 3 becomes the next digit in our result. 
Result so far: 51213.0
Subtract 39 from 48 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.

On to step 7:
90 divided by 13 is 6 with a remainder of 12.
The number 6 becomes the next digit in our result. 
Result so far: 51213.6
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.

Let's proceed to step 8:
13 can be fit into 120 9 times, resulting in a remainder of 3.
Put 9 as the next digit of the answer. 
Result so far: 51213.69
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 9:
The number 13 fits into 30 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 51213.692
Subtracting 26 from 30 leaves us 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.

On to step 10:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 51213.6923
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.

Step 11:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 51213.6923
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.

Advancing to step 12:
100 divided by 13 is 7 with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 51213.692307
If we subtract 91 from 100, we 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 13:
13 goes into 90 6 times with a remainder of 12.
Record the quotient 6 as the next digit in the result. 
Result so far: 51213.6923076
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 14:
When dividing 120 by 13, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 51213.69230769
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.

The final outcome is 51213.69230769, with a leftover of 3e-09.