We're dividing 413558 by 19 
Let's see how many times 19 fits into 413558.

On to step 1:
19 goes into 4 0 times with a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 19

Advancing to step 2:
19 goes into 41 2 times with a remainder of 3.
Write down 2 as next digit of the result. 
Result so far: 2.0
Deduct 38 from 41 and we're left with 3.
Take the next digit (3) from the dividend and append it to 3, then repeat: 33 / 19

Going ahead to step 3:
If we divide 33 by 19, we get 1 and a remainder of 14.
Use 1 as the next digit of our solution. 
Result so far: 21.0
Subtracting 19 from 33 leaves us with 14.
Bring next digit (5) of the dividend behind the 14 and repeat the process: 145 / 19

Let's proceed to step 4:
19 can be fit into 145 7 times, resulting in a remainder of 12.
Write down 7 as next digit of the result. 
Result so far: 217.0
The remainder is 12 after subtracting 133 from 145.
Include the next digit (5) from the dividend after 12, then repeat: 125 / 19

Step 5:
The number 19 fits into 125 6 times, leaving a remainder of 11.
Record the quotient 6 as the next digit in the result. 
Result so far: 2176.0
Subtracting 114 from 125 leaves us with 11.
Grab the next digit (8) from the dividend, add it to 11, then carry on: 118 / 19

On to step 6:
The number 19 fits into 118 6 times, leaving a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 21766.0
If we subtract 114 from 118, we get 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 7:
19 goes into 40 2 times with a remainder of 2.
Put 2 as the next digit of the answer. 
Result so far: 21766.2
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.

Let's proceed to step 8:
If we divide 20 by 19, we get 1 and a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 21766.21
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.

Moving on to step 9:
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: 21766.21
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 10:
If we divide 100 by 19, we get 5 and a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 21766.2105
Subtract 95 from 100 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 11:
19 goes into 50 2 times with a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 21766.21052
Deduct 38 from 50 and we're left 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 12:
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: 21766.210526
The remainder is 6 after subtracting 114 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
60 divided by 19 is 3 with a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 21766.2105263
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.

Let's proceed to step 14:
19 goes into 30 1 times with a remainder of 11.
Use 1 as the next digit of our solution. 
Result so far: 21766.21052631
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 21766.21052631 and a remainder of 1.1e-08.