Let's divide 408102 by 19
We want to figure out the number of times 408102 can be divided by 19.

Advancing to step 1:
When dividing 4 by 19, we get 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 19

On to step 2:
When dividing 40 by 19, we get 2 with a remainder of 2.
The next digit of our result is 2. 
Result so far: 2.0
If we take 38 away from 40, we end up with 2.
Grab the next digit (8) from the dividend, add it to 2, then carry on: 28 / 19

On to step 3:
19 goes into 28 1 times with a remainder of 9.
The next digit of our result is 1. 
Result so far: 21.0
Subtract 19 from 28 to get 9.
Grab the next digit (1) from the dividend, add it to 9, then carry on: 91 / 19

On to step 4:
91 divided by 19 is 4 with a remainder of 15.
Use 4 as the next digit of our solution. 
Result so far: 214.0
Subtracting 76 from 91 leaves us with 15.
Grab the next digit (0) from the dividend, add it to 15, then carry on: 150 / 19

Let's proceed to step 5:
The number 19 fits into 150 7 times, leaving a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 2147.0
If we subtract 133 from 150, we get 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 19

Moving on to step 6:
19 can be fit into 172 9 times, resulting in a remainder of 1.
The next digit of our result is 9. 
Result so far: 21479.0
The remainder is 1 after subtracting 171 from 172.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Step 7:
If we divide 10 by 19, we get 0 and a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 21479.0
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.

On to step 8:
19 goes into 100 5 times with a remainder of 5.
The next digit of our result is 5. 
Result so far: 21479.05
If we subtract 95 from 100, we 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.

On to step 9:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 21479.052
Subtract 38 from 50 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 21479.0526
Deduct 114 from 120 and we're left 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 11:
19 goes into 60 3 times with a remainder of 3.
The next digit of our result is 3. 
Result so far: 21479.05263
Subtracting 57 from 60 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 12:
If we divide 30 by 19, we get 1 and a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 21479.052631
If we take 19 away from 30, we end up 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.

Moving on to step 13:
If we divide 110 by 19, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 21479.0526315
Deduct 95 from 110 and we're left with 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 14:
150 divided by 19 is 7 with a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 21479.05263157
Subtracting 133 from 150 leaves us with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

After the division, we end up with 21479.05263157 and a remainder of 1.7e-08.