Let's divide 679660 by 13
Our goal is to divide 679660 by 13.

Moving on to step 1:
13 can be fit into 6 0 times, resulting in a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Fetch the next digit (7) from the dividend, attach it to 6 and continue: 67 / 13

Let's proceed to step 2:
If we divide 67 by 13, we get 5 and a remainder of 2.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 65 away from 67, we end up with 2.
Append the next digit (9) from the dividend to 2 and continue with: 29 / 13

On to step 3:
If we divide 29 by 13, we get 2 and a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 52.0
Subtract 26 from 29 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 13

Step 4:
36 divided by 13 is 2 with a remainder of 10.
Use 2 as the next digit of our solution. 
Result so far: 522.0
The remainder is 10 after subtracting 26 from 36.
Fetch the next digit (6) from the dividend, attach it to 10 and continue: 106 / 13

Going ahead to step 5:
When dividing 106 by 13, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 5228.0
The remainder is 2 after subtracting 104 from 106.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 13

On to step 6:
When dividing 20 by 13, we get 1 with a remainder of 7.
Use 1 as the next digit of our solution. 
Result so far: 52281.0
Subtracting 13 from 20 leaves us with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 7:
13 goes into 70 5 times with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 52281.5
Subtracting 65 from 70 leaves us with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Going ahead to step 8:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 52281.53
The remainder is 11 after subtracting 39 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 9:
110 divided by 13 is 8 with a remainder of 6.
Write down 8 as next digit of the result. 
Result so far: 52281.538
If we take 104 away from 110, we end up with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 10:
If we divide 60 by 13, we get 4 and a remainder of 8.
The next digit of our result is 4. 
Result so far: 52281.5384
Subtract 52 from 60 to get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 11:
80 divided by 13 is 6 with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 52281.53846
Subtracting 78 from 80 leaves us with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 12:
13 can be fit into 20 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 52281.538461
If we subtract 13 from 20, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Going ahead to step 13:
13 can be fit into 70 5 times, resulting in a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 52281.5384615
If we take 65 away from 70, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 14:
13 can be fit into 50 3 times, resulting in a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 52281.53846153
Deduct 39 from 50 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

The final outcome is 52281.53846153, with a leftover of 1.1e-08.