719821 divided by 13 
We want to figure out the number of times 719821 can be divided by 13.

Let's proceed to step 1:
When dividing 7 by 13, we get 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 13

Advancing to step 2:
13 can be fit into 71 5 times, resulting in a remainder of 6.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Subtracting 65 from 71 leaves us with 6.
Append the next digit (9) from the dividend to 6 and continue with: 69 / 13

Let's proceed to step 3:
If we divide 69 by 13, we get 5 and a remainder of 4.
The number 5 becomes the next digit in our result. 
Result so far: 55.0
If we take 65 away from 69, we end up with 4.
Bring next digit (8) of the dividend behind the 4 and repeat the process: 48 / 13

Advancing to step 4:
13 goes into 48 3 times with a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 553.0
Deduct 39 from 48 and we're left with 9.
Take the next digit (2) from the dividend and append it to 9, then repeat: 92 / 13

Going ahead to step 5:
13 goes into 92 7 times with a remainder of 1.
Put 7 as the next digit of the answer. 
Result so far: 5537.0
The remainder is 1 after subtracting 91 from 92.
Bring next digit (1) of the dividend behind the 1 and repeat the process: 11 / 13

Let's proceed to step 6:
The number 13 fits into 11 0 times, leaving a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 55370.0
The remainder is 11 after subtracting 0 from 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
13 goes into 110 8 times with a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 55370.8
If we subtract 104 from 110, we get 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 8:
If we divide 60 by 13, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 55370.84
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 9:
13 can be fit into 80 6 times, resulting in a remainder of 2.
The next digit of our result is 6. 
Result so far: 55370.846
If we take 78 away from 80, we end up 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.

On to step 10:
13 goes into 20 1 times with a remainder of 7.
Put 1 as the next digit of the answer. 
Result so far: 55370.8461
If we take 13 away from 20, we end up 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.

Step 11:
The number 13 fits into 70 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 55370.84615
Subtract 65 from 70 to get 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 12:
When dividing 50 by 13, we get 3 with a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 55370.846153
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.

On to step 13:
13 can be fit into 110 8 times, resulting in a remainder of 6.
Use 8 as the next digit of our solution. 
Result so far: 55370.8461538
If we subtract 104 from 110, we get 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 14:
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: 55370.84615384
If we take 52 away from 60, we end up with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

The quotient of the division is 55370.84615384, and the remainder is 8e-09.