We look at the division of 661517 by 13 
We're looking to find how many times 13 goes into 661517.

Advancing to step 1:
13 goes into 6 0 times with 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.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 13

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
Subtracting 65 from 66 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 13

On to step 3:
When dividing 11 by 13, we get 0 with a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we subtract 0 from 11, we get 11.
Grab the next digit (5) from the dividend, add it to 11, then carry on: 115 / 13

Advancing to step 4:
115 divided by 13 is 8 with a remainder of 11.
The next digit of our result is 8. 
Result so far: 508.0
Subtracting 104 from 115 leaves us with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 13

On to step 5:
111 divided by 13 is 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 5088.0
Subtract 104 from 111 to get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 13

On to step 6:
When dividing 77 by 13, we get 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 50885.0
Subtract 65 from 77 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 7:
13 goes into 120 9 times with a remainder of 3.
Use 9 as the next digit of our solution. 
Result so far: 50885.9
Subtract 117 from 120 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 8:
If we divide 30 by 13, we get 2 and a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 50885.92
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.

Advancing to step 9:
13 goes into 40 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 50885.923
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.

Advancing to step 10:
The number 13 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 50885.923
Subtracting 0 from 10 leaves us 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.

Let's proceed to step 11:
The number 13 fits into 100 7 times, leaving a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 50885.92307
Subtracting 91 from 100 leaves us 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.

Moving on to step 12:
90 divided by 13 is 6 with a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 50885.923076
The remainder is 12 after subtracting 78 from 90.
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 13:
13 goes into 120 9 times with a remainder of 3.
Write down 9 as next digit of the result. 
Result so far: 50885.9230769
Subtract 117 from 120 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.

On to step 14:
30 divided by 13 is 2 with a remainder of 4.
The next digit of our result is 2. 
Result so far: 50885.92307692
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.

The final outcome is 50885.92307692, with a leftover of 4e-09.