Let's divide 803059 by 13
We're looking to find how many times 13 goes into 803059.

Moving on to step 1:
13 can be fit into 8 0 times, resulting in a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Include the next digit (0) from the dividend after 8, then repeat: 80 / 13

Let's proceed to step 2:
If we divide 80 by 13, we get 6 and a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 6.0
The remainder is 2 after subtracting 78 from 80.
Fetch the next digit (3) from the dividend, attach it to 2 and continue: 23 / 13

Let's proceed to step 3:
13 can be fit into 23 1 times, resulting in a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 61.0
Subtracting 13 from 23 leaves us with 10.
Include the next digit (0) from the dividend after 10, then repeat: 100 / 13

Let's proceed to step 4:
13 goes into 100 7 times with a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 617.0
If we take 91 away from 100, we end up with 9.
Take the next digit (5) from the dividend and append it to 9, then repeat: 95 / 13

Advancing to step 5:
13 can be fit into 95 7 times, resulting in a remainder of 4.
Put 7 as the next digit of the answer. 
Result so far: 6177.0
Subtracting 91 from 95 leaves us with 4.
Include the next digit (9) from the dividend after 4, then repeat: 49 / 13

Going ahead to step 6:
When dividing 49 by 13, we get 3 with a remainder of 10.
Record the quotient 3 as the next digit in the result. 
Result so far: 61773.0
Subtracting 39 from 49 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
13 goes into 100 7 times with a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 61773.7
If we subtract 91 from 100, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 8:
13 goes into 90 6 times with a remainder of 12.
Put 6 as the next digit of the answer. 
Result so far: 61773.76
Subtract 78 from 90 to 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.

Going ahead to step 9:
The number 13 fits into 120 9 times, leaving a remainder of 3.
Record the quotient 9 as the next digit in the result. 
Result so far: 61773.769
The remainder is 3 after subtracting 117 from 120.
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:
30 divided by 13 is 2 with a remainder of 4.
Use 2 as the next digit of our solution. 
Result so far: 61773.7692
Deduct 26 from 30 and we're left 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.

Advancing to step 11:
If we divide 40 by 13, we get 3 and a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 61773.76923
Deduct 39 from 40 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Going ahead to 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: 61773.76923
Deduct 0 from 10 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 13:
When dividing 100 by 13, we get 7 with a remainder of 9.
Write down 7 as next digit of the result. 
Result so far: 61773.7692307
If we take 91 away from 100, we end up 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.

Going ahead to step 14:
When dividing 90 by 13, we get 6 with a remainder of 12.
The next digit of our result is 6. 
Result so far: 61773.76923076
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 61773.76923076 and a remainder of 1.2e-08.