We look at the division of 663876 by 13 
Let's see how many times 13 fits into 663876.

Going ahead to step 1:
The number 13 fits into 6 0 times, leaving a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 13

Advancing to step 2:
13 can be fit into 66 5 times, resulting in a remainder of 1.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 65 away from 66, we end up with 1.
Include the next digit (3) from the dividend after 1, then repeat: 13 / 13

Advancing to step 3:
The number 13 fits into 13 1 times, leaving a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 51.0
Subtract 13 from 13 to get 0.
Fetch the next digit (8) from the dividend, attach it to 0 and continue: 8 / 13

Moving on to step 4:
8 divided by 13 is 0 with a remainder of 8.
Write down 0 as next digit of the result. 
Result so far: 510.0
Deduct 0 from 8 and we're left with 8.
Take the next digit (7) from the dividend and append it to 8, then repeat: 87 / 13

On to step 5:
The number 13 fits into 87 6 times, leaving a remainder of 9.
Record the quotient 6 as the next digit in the result. 
Result so far: 5106.0
Subtracting 78 from 87 leaves us with 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 13

Step 6:
When dividing 96 by 13, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 51067.0
If we take 91 away from 96, 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.

Step 7:
13 goes into 50 3 times with a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 51067.3
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.

Step 8:
When dividing 110 by 13, we get 8 with a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 51067.38
Subtracting 104 from 110 leaves us 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.

Let's proceed to step 9:
The number 13 fits into 60 4 times, leaving a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 51067.384
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.

Advancing to step 10:
If we divide 80 by 13, we get 6 and a remainder of 2.
The next digit of our result is 6. 
Result so far: 51067.3846
Subtract 78 from 80 to get 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 11:
20 divided by 13 is 1 with a remainder of 7.
The number 1 becomes the next digit in our result. 
Result so far: 51067.38461
Deduct 13 from 20 and we're left 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.

Advancing to step 12:
When dividing 70 by 13, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 51067.384615
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.

Advancing to step 13:
If we divide 50 by 13, we get 3 and a remainder of 11.
Record the quotient 3 as the next digit in the result. 
Result so far: 51067.3846153
If we take 39 away from 50, we end up 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.

Moving on to step 14:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 51067.38461538
Subtracting 104 from 110 leaves us 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.

The final outcome is 51067.38461538, with a leftover of 6e-09.