We look at the division of 586803 by 19 
We want to divide 586803 by 19.

Step 1:
If we divide 5 by 19, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (8) from the dividend to 5 and continue with: 58 / 19

Advancing to step 2:
19 can be fit into 58 3 times, resulting in a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 3.0
Deduct 57 from 58 and we're left with 1.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 19

Step 3:
19 can be fit into 16 0 times, resulting in a remainder of 16.
The next digit of our result is 0. 
Result so far: 30.0
Deduct 0 from 16 and we're left with 16.
Bring next digit (8) of the dividend behind the 16 and repeat the process: 168 / 19

On to step 4:
168 divided by 19 is 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 308.0
Subtracting 152 from 168 leaves us with 16.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 19

Step 5:
19 goes into 160 8 times with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 3088.0
Deduct 152 from 160 and we're left with 8.
Append the next digit (3) from the dividend to 8 and continue with: 83 / 19

Moving on to step 6:
19 can be fit into 83 4 times, resulting in a remainder of 7.
The next digit of our result is 4. 
Result so far: 30884.0
Subtract 76 from 83 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 7:
70 divided by 19 is 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 30884.3
The remainder is 13 after subtracting 57 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 8:
If we divide 130 by 19, we get 6 and a remainder of 16.
Put 6 as the next digit of the answer. 
Result so far: 30884.36
If we take 114 away from 130, we end up with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
When dividing 160 by 19, we get 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 30884.368
Subtracting 152 from 160 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.

Advancing to step 10:
19 can be fit into 80 4 times, resulting in a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 30884.3684
Subtracting 76 from 80 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.

Going ahead to step 11:
19 can be fit into 40 2 times, resulting in a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 30884.36842
The remainder is 2 after subtracting 38 from 40.
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 12:
19 can be fit into 20 1 times, resulting in a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 30884.368421
Deduct 19 from 20 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.

Let's proceed to step 13:
19 goes into 10 0 times with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 30884.368421
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.

Advancing to step 14:
When dividing 100 by 19, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 30884.36842105
Deduct 95 from 100 and we're left 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.

Our division results in 30884.36842105 with a remaining 5e-09.