We're dividing 455306 by 19 
We want to divide 455306 by 19.

Advancing to step 1:
19 can be fit into 4 0 times, resulting in a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (5) from the dividend, attach it to 4 and continue: 45 / 19

Moving on to step 2:
19 goes into 45 2 times with a remainder of 7.
The next digit of our result is 2. 
Result so far: 2.0
If we take 38 away from 45, we end up with 7.
Fetch the next digit (5) from the dividend, attach it to 7 and continue: 75 / 19

Step 3:
When dividing 75 by 19, we get 3 with a remainder of 18.
Put 3 as the next digit of the answer. 
Result so far: 23.0
Deduct 57 from 75 and we're left with 18.
Grab the next digit (3) from the dividend, add it to 18, then carry on: 183 / 19

Moving on to step 4:
If we divide 183 by 19, we get 9 and a remainder of 12.
Record the quotient 9 as the next digit in the result. 
Result so far: 239.0
Subtracting 171 from 183 leaves us with 12.
Take the next digit (0) from the dividend and append it to 12, then repeat: 120 / 19

On to step 5:
If we divide 120 by 19, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 2396.0
Subtracting 114 from 120 leaves us with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 19

Let's proceed to step 6:
The number 19 fits into 66 3 times, leaving a remainder of 9.
Use 3 as the next digit of our solution. 
Result so far: 23963.0
The remainder is 9 after subtracting 57 from 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 7:
If we divide 90 by 19, we get 4 and a remainder of 14.
The number 4 becomes the next digit in our result. 
Result so far: 23963.4
Subtracting 76 from 90 leaves us 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.

Advancing to step 8:
19 goes into 140 7 times with a remainder of 7.
Record the quotient 7 as the next digit in the result. 
Result so far: 23963.47
Subtract 133 from 140 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.

Advancing to step 9:
19 goes into 70 3 times with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 23963.473
Deduct 57 from 70 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 10:
19 goes into 130 6 times with a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 23963.4736
Subtract 114 from 130 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Let's proceed to step 11:
When dividing 160 by 19, we get 8 with a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 23963.47368
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 12:
If we divide 80 by 19, we get 4 and a remainder of 4.
Record the quotient 4 as the next digit in the result. 
Result so far: 23963.473684
If we subtract 76 from 80, 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.

On to step 13:
19 goes into 40 2 times with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 23963.4736842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 23963.47368421
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.

The final result is 23963.47368421 with a remainder of 1e-09.