We divide 580181 by 19
Our goal is to divide 580181 by 19.

Going ahead to step 1:
When dividing 5 by 19, we get 0 with a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 19

Advancing to step 2:
The number 19 fits into 58 3 times, leaving a remainder of 1.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we subtract 57 from 58, we get 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 19

On to step 3:
10 divided by 19 is 0 with a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 30.0
The remainder is 10 after subtracting 0 from 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 19

Let's proceed to step 4:
If we divide 101 by 19, we get 5 and a remainder of 6.
Record the quotient 5 as the next digit in the result. 
Result so far: 305.0
Deduct 95 from 101 and we're left with 6.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 19

Let's proceed to step 5:
If we divide 68 by 19, we get 3 and a remainder of 11.
The next digit of our result is 3. 
Result so far: 3053.0
If we take 57 away from 68, we end up with 11.
Include the next digit (1) from the dividend after 11, then repeat: 111 / 19

Going ahead to step 6:
The number 19 fits into 111 5 times, leaving a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 30535.0
Deduct 95 from 111 and we're left 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.

Advancing to step 7:
When dividing 160 by 19, we get 8 with a remainder of 8.
Record the quotient 8 as the next digit in the result. 
Result so far: 30535.8
If we take 152 away from 160, 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 8:
80 divided by 19 is 4 with a remainder of 4.
The next digit of our result is 4. 
Result so far: 30535.84
Deduct 76 from 80 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.

On to step 9:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 30535.842
Deduct 38 from 40 and we're left 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.

Moving on to step 10:
When dividing 20 by 19, we get 1 with a remainder of 1.
The next digit of our result is 1. 
Result so far: 30535.8421
Subtracting 19 from 20 leaves us 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 11:
19 goes into 10 0 times with a remainder of 10.
The next digit of our result is 0. 
Result so far: 30535.8421
Subtracting 0 from 10 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.

Going ahead to step 12:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Use 5 as the next digit of our solution. 
Result so far: 30535.842105
Subtracting 95 from 100 leaves us 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.

Let's proceed to step 13:
19 can be fit into 50 2 times, resulting in a remainder of 12.
The next digit of our result is 2. 
Result so far: 30535.8421052
The remainder is 12 after subtracting 38 from 50.
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 14:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 30535.84210526
Deduct 114 from 120 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 30535.84210526 with a balance of 6e-09.