We look at the division of 581178 by 19 
We want to divide 581178 by 19.

Going ahead to step 1:
5 divided by 19 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 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.
The number 3 becomes the next digit in our result. 
Result so far: 3.0
If we take 57 away from 58, we end up with 1.
Append the next digit (1) from the dividend to 1 and continue with: 11 / 19

On to step 3:
19 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 30.0
The remainder is 11 after subtracting 0 from 11.
Grab the next digit (1) from the dividend, add it to 11, then carry on: 111 / 19

Going ahead to step 4:
When dividing 111 by 19, we get 5 with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 305.0
Subtracting 95 from 111 leaves us with 16.
Append the next digit (7) from the dividend to 16 and continue with: 167 / 19

Moving on to step 5:
19 can be fit into 167 8 times, resulting in a remainder of 15.
The number 8 becomes the next digit in our result. 
Result so far: 3058.0
If we take 152 away from 167, we end up with 15.
Fetch the next digit (8) from the dividend, attach it to 15 and continue: 158 / 19

Step 6:
If we divide 158 by 19, we get 8 and a remainder of 6.
Record the quotient 8 as the next digit in the result. 
Result so far: 30588.0
Subtracting 152 from 158 leaves us 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.

Going ahead to step 7:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 30588.3
If we subtract 57 from 60, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Moving on to step 8:
19 goes into 30 1 times with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 30588.31
Subtracting 19 from 30 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.

On to step 9:
110 divided by 19 is 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 30588.315
If we subtract 95 from 110, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 10:
19 goes into 150 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 30588.3157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Step 11:
19 goes into 170 8 times with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 30588.31578
Subtract 152 from 170 to get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 12:
19 can be fit into 180 9 times, resulting in a remainder of 9.
Use 9 as the next digit of our solution. 
Result so far: 30588.315789
Deduct 171 from 180 and we're left 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.

Step 13:
19 can be fit into 90 4 times, resulting in a remainder of 14.
Record the quotient 4 as the next digit in the result. 
Result so far: 30588.3157894
If we take 76 away from 90, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Let's proceed to step 14:
140 divided by 19 is 7 with a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 30588.31578947
The remainder is 7 after subtracting 133 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The quotient of the division is 30588.31578947, and the remainder is 7e-09.