We divide 40566 by 19
We want to divide 40566 by 19.

On to step 1:
4 divided by 19 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Grab the next digit (0) from the dividend, add it to 4, then carry on: 40 / 19

On to step 2:
40 divided by 19 is 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.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 19

Moving on to step 3:
25 divided by 19 is 1 with a remainder of 6.
Record the quotient 1 as the next digit in the result. 
Result so far: 21.0
The remainder is 6 after subtracting 19 from 25.
Take the next digit (6) from the dividend and append it to 6, then repeat: 66 / 19

Going ahead to step 4:
When dividing 66 by 19, we get 3 with a remainder of 9.
The next digit of our result is 3. 
Result so far: 213.0
Subtract 57 from 66 to get 9.
Bring next digit (6) of the dividend behind the 9 and repeat the process: 96 / 19

Let's proceed to step 5:
The number 19 fits into 96 5 times, leaving a remainder of 1.
The number 5 becomes the next digit in our result. 
Result so far: 2135.0
Deduct 95 from 96 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 6:
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: 2135.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
If we divide 100 by 19, we get 5 and a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 2135.05
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.

Moving on to step 8:
If we divide 50 by 19, we get 2 and a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 2135.052
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 9:
19 goes into 120 6 times with a remainder of 6.
Write down 6 as next digit of the result. 
Result so far: 2135.0526
If we subtract 114 from 120, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 10:
When dividing 60 by 19, we get 3 with a remainder of 3.
The number 3 becomes the next digit in our result. 
Result so far: 2135.05263
The remainder is 3 after subtracting 57 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
19 can be fit into 30 1 times, resulting in a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 2135.052631
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.

On to step 12:
110 divided by 19 is 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 2135.0526315
Subtract 95 from 110 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 13:
The number 19 fits into 150 7 times, leaving a remainder of 17.
The next digit of our result is 7. 
Result so far: 2135.05263157
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.

The final result is 2135.05263157 with a remainder of 1.7e-08.