We divide 581674 by 19
We want to divide 581674 by 19.

Advancing to step 1:
When dividing 5 by 19, we get 0 with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 5, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 19

Going ahead to step 2:
19 can be fit into 58 3 times, resulting in a remainder of 1.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 57 from 58 to get 1.
Grab the next digit (1) from the dividend, add it to 1, then carry on: 11 / 19

On to step 3:
The number 19 fits into 11 0 times, leaving a remainder of 11.
Write down 0 as next digit of the result. 
Result so far: 30.0
If we subtract 0 from 11, we get 11.
Grab the next digit (6) from the dividend, add it to 11, then carry on: 116 / 19

On to step 4:
When dividing 116 by 19, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 306.0
If we subtract 114 from 116, we get 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 19

On to step 5:
If we divide 27 by 19, we get 1 and a remainder of 8.
Write down 1 as next digit of the result. 
Result so far: 3061.0
The remainder is 8 after subtracting 19 from 27.
Bring next digit (4) of the dividend behind the 8 and repeat the process: 84 / 19

On to step 6:
19 goes into 84 4 times with a remainder of 8.
Record the quotient 4 as the next digit in the result. 
Result so far: 30614.0
If we take 76 away from 84, 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.

Step 7:
When dividing 80 by 19, we get 4 with a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 30614.4
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.

Let's proceed to step 8:
40 divided by 19 is 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 30614.42
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.

Step 9:
When dividing 20 by 19, we get 1 with a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 30614.421
If we take 19 away from 20, we end up 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 10:
When dividing 10 by 19, we get 0 with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 30614.421
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 11:
19 goes into 100 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 30614.42105
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.

Going ahead to step 12:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 30614.421052
Subtracting 38 from 50 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.

Advancing to step 13:
If we divide 120 by 19, we get 6 and a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 30614.4210526
Subtracting 114 from 120 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.

Let's proceed to step 14:
The number 19 fits into 60 3 times, leaving a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 30614.42105263
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.

The final result is 30614.42105263 with a remainder of 3e-09.