409522 divided by 19 
We want to figure out the number of times 409522 can be divided by 19.

On to step 1:
If we divide 4 by 19, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Append the next digit (0) from the dividend to 4 and continue with: 40 / 19

On to step 2:
19 goes into 40 2 times with a remainder of 2.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
Deduct 38 from 40 and we're left with 2.
Grab the next digit (9) from the dividend, add it to 2, then carry on: 29 / 19

Step 3:
If we divide 29 by 19, we get 1 and a remainder of 10.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
If we take 19 away from 29, we end up with 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 19

Step 4:
The number 19 fits into 105 5 times, leaving a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 215.0
If we take 95 away from 105, we end up with 10.
Take the next digit (2) from the dividend and append it to 10, then repeat: 102 / 19

Moving on to step 5:
19 goes into 102 5 times with a remainder of 7.
The number 5 becomes the next digit in our result. 
Result so far: 2155.0
Subtract 95 from 102 to get 7.
Fetch the next digit (2) from the dividend, attach it to 7 and continue: 72 / 19

Step 6:
19 can be fit into 72 3 times, resulting in a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 21553.0
If we take 57 away from 72, we end up 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 7:
150 divided by 19 is 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 21553.7
If we take 133 away from 150, we end up 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.

Moving on to step 8:
19 goes into 170 8 times with a remainder of 18.
Write down 8 as next digit of the result. 
Result so far: 21553.78
Subtracting 152 from 170 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
When dividing 180 by 19, we get 9 with a remainder of 9.
Put 9 as the next digit of the answer. 
Result so far: 21553.789
If we take 171 away from 180, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 10:
90 divided by 19 is 4 with a remainder of 14.
Use 4 as the next digit of our solution. 
Result so far: 21553.7894
Subtract 76 from 90 to get 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 11:
If we divide 140 by 19, we get 7 and a remainder of 7.
Use 7 as the next digit of our solution. 
Result so far: 21553.78947
The remainder is 7 after subtracting 133 from 140.
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 12:
70 divided by 19 is 3 with a remainder of 13.
Record the quotient 3 as the next digit in the result. 
Result so far: 21553.789473
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.

Going ahead to step 13:
If we divide 130 by 19, we get 6 and a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 21553.7894736
If we subtract 114 from 130, we 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.

Going ahead to step 14:
The number 19 fits into 160 8 times, leaving a remainder of 8.
Use 8 as the next digit of our solution. 
Result so far: 21553.78947368
If we subtract 152 from 160, we get 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

In conclusion, the division gives 21553.78947368 with a balance of 8e-09.