719677 divided by 13 
We want to figure out the number of times 719677 can be divided by 13.

Advancing to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 13

Going ahead to step 2:
13 can be fit into 71 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 65 from 71, we get 6.
Bring next digit (9) of the dividend behind the 6 and repeat the process: 69 / 13

On to step 3:
If we divide 69 by 13, we get 5 and a remainder of 4.
Use 5 as the next digit of our solution. 
Result so far: 55.0
Subtract 65 from 69 to get 4.
Grab the next digit (6) from the dividend, add it to 4, then carry on: 46 / 13

Let's proceed to step 4:
When dividing 46 by 13, we get 3 with a remainder of 7.
The number 3 becomes the next digit in our result. 
Result so far: 553.0
Subtract 39 from 46 to get 7.
Grab the next digit (7) from the dividend, add it to 7, then carry on: 77 / 13

Moving on to step 5:
13 can be fit into 77 5 times, resulting in a remainder of 12.
Record the quotient 5 as the next digit in the result. 
Result so far: 5535.0
The remainder is 12 after subtracting 65 from 77.
Bring next digit (7) of the dividend behind the 12 and repeat the process: 127 / 13

Step 6:
13 can be fit into 127 9 times, resulting in a remainder of 10.
Put 9 as the next digit of the answer. 
Result so far: 55359.0
The remainder is 10 after subtracting 117 from 127.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
13 can be fit into 100 7 times, resulting in a remainder of 9.
The number 7 becomes the next digit in our result. 
Result so far: 55359.7
Deduct 91 from 100 and we're left 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.

On to step 8:
13 can be fit into 90 6 times, resulting in a remainder of 12.
The next digit of our result is 6. 
Result so far: 55359.76
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.

On to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 55359.769
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.

Advancing to step 10:
13 can be fit into 30 2 times, resulting in a remainder of 4.
The next digit of our result is 2. 
Result so far: 55359.7692
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.

Moving on to step 11:
When dividing 40 by 13, we get 3 with a remainder of 1.
The number 3 becomes the next digit in our result. 
Result so far: 55359.76923
Subtract 39 from 40 to 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.

Step 12:
If we divide 10 by 13, we get 0 and a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 55359.76923
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 13:
The number 13 fits into 100 7 times, leaving a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 55359.7692307
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.

Advancing to step 14:
The number 13 fits into 90 6 times, leaving a remainder of 12.
Use 6 as the next digit of our solution. 
Result so far: 55359.76923076
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.

After the division, we end up with 55359.76923076 and a remainder of 1.2e-08.