414512 ÷ 19 
We want to divide 414512 by 19.

Advancing to step 1:
19 can be fit into 4 0 times, resulting in a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 19

Step 2:
If we divide 41 by 19, we get 2 and a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Subtract 38 from 41 to get 3.
Bring next digit (4) of the dividend behind the 3 and repeat the process: 34 / 19

Going ahead to step 3:
If we divide 34 by 19, we get 1 and a remainder of 15.
The number 1 becomes the next digit in our result. 
Result so far: 21.0
If we subtract 19 from 34, we get 15.
Take the next digit (5) from the dividend and append it to 15, then repeat: 155 / 19

Moving on to step 4:
19 can be fit into 155 8 times, resulting in a remainder of 3.
Write down 8 as next digit of the result. 
Result so far: 218.0
Subtract 152 from 155 to get 3.
Take the next digit (1) from the dividend and append it to 3, then repeat: 31 / 19

Let's proceed to step 5:
If we divide 31 by 19, we get 1 and a remainder of 12.
Use 1 as the next digit of our solution. 
Result so far: 2181.0
Deduct 19 from 31 and we're left with 12.
Bring next digit (2) of the dividend behind the 12 and repeat the process: 122 / 19

Moving on to step 6:
The number 19 fits into 122 6 times, leaving a remainder of 8.
The next digit of our result is 6. 
Result so far: 21816.0
The remainder is 8 after subtracting 114 from 122.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Moving on to step 7:
If we divide 80 by 19, we get 4 and a remainder of 4.
The next digit of our result is 4. 
Result so far: 21816.4
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.

On to step 8:
When dividing 40 by 19, we get 2 with a remainder of 2.
Write down 2 as next digit of the result. 
Result so far: 21816.42
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.

Moving on to step 9:
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: 21816.421
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.

Step 10:
19 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 21816.421
If we take 0 away from 10, we end up 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.

On to step 11:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 21816.42105
The remainder is 5 after subtracting 95 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 12:
If we divide 50 by 19, we get 2 and a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 21816.421052
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.

On to step 13:
The number 19 fits into 120 6 times, leaving a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 21816.4210526
If we take 114 away from 120, we end up 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.

Moving on to step 14:
If we divide 60 by 19, we get 3 and a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 21816.42105263
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 21816.42105263 with a remainder of 3e-09.