Let's divide 802319 by 13
Our goal is to divide 802319 by 13.

Going ahead to step 1:
The number 13 fits into 8 0 times, leaving a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 8 leaves us with 8.
Fetch the next digit (0) from the dividend, attach it to 8 and continue: 80 / 13

Step 2:
The number 13 fits into 80 6 times, leaving a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 78 from 80 and we're left with 2.
Include the next digit (2) from the dividend after 2, then repeat: 22 / 13

On to step 3:
If we divide 22 by 13, we get 1 and a remainder of 9.
Use 1 as the next digit of our solution. 
Result so far: 61.0
Deduct 13 from 22 and we're left with 9.
Take the next digit (3) from the dividend and append it to 9, then repeat: 93 / 13

Step 4:
13 goes into 93 7 times with a remainder of 2.
Put 7 as the next digit of the answer. 
Result so far: 617.0
Subtract 91 from 93 to get 2.
Bring next digit (1) of the dividend behind the 2 and repeat the process: 21 / 13

Moving on to step 5:
21 divided by 13 is 1 with a remainder of 8.
Put 1 as the next digit of the answer. 
Result so far: 6171.0
Subtract 13 from 21 to get 8.
Grab the next digit (9) from the dividend, add it to 8, then carry on: 89 / 13

Let's proceed to step 6:
89 divided by 13 is 6 with a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 61716.0
The remainder is 11 after subtracting 78 from 89.
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 7:
When dividing 110 by 13, we get 8 with a remainder of 6.
The next digit of our result is 8. 
Result so far: 61716.8
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:
13 goes into 60 4 times with a remainder of 8.
The next digit of our result is 4. 
Result so far: 61716.84
Subtracting 52 from 60 leaves us 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:
If we divide 80 by 13, we get 6 and a remainder of 2.
Record the quotient 6 as the next digit in the result. 
Result so far: 61716.846
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:
If we divide 20 by 13, we get 1 and a remainder of 7.
Record the quotient 1 as the next digit in the result. 
Result so far: 61716.8461
Subtract 13 from 20 to 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.

Let's proceed to step 11:
When dividing 70 by 13, we get 5 with a remainder of 5.
The next digit of our result is 5. 
Result so far: 61716.84615
The remainder is 5 after subtracting 65 from 70.
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 12:
If we divide 50 by 13, we get 3 and a remainder of 11.
Use 3 as the next digit of our solution. 
Result so far: 61716.846153
Subtracting 39 from 50 leaves us 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.

Step 13:
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: 61716.8461538
Subtract 104 from 110 to 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:
60 divided by 13 is 4 with a remainder of 8.
Write down 4 as next digit of the result. 
Result so far: 61716.84615384
Deduct 52 from 60 and we're left 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 final result is 61716.84615384 with a remainder of 8e-09.