381566 divided by 23 
Our goal is to divide 381566 by 23.

Step 1:
When dividing 3 by 23, we get 0 with a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Include the next digit (8) from the dividend after 3, then repeat: 38 / 23

Let's proceed to step 2:
23 goes into 38 1 times with a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 15 after subtracting 23 from 38.
Grab the next digit (1) from the dividend, add it to 15, then carry on: 151 / 23

On to step 3:
23 goes into 151 6 times with a remainder of 13.
Use 6 as the next digit of our solution. 
Result so far: 16.0
Deduct 138 from 151 and we're left with 13.
Grab the next digit (5) from the dividend, add it to 13, then carry on: 135 / 23

On to step 4:
23 can be fit into 135 5 times, resulting in a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 165.0
Subtracting 115 from 135 leaves us with 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 23

Moving on to step 5:
23 can be fit into 206 8 times, resulting in a remainder of 22.
The next digit of our result is 8. 
Result so far: 1658.0
If we take 184 away from 206, we end up with 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 23

Step 6:
23 goes into 226 9 times with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 16589.0
If we subtract 207 from 226, we get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 7:
23 can be fit into 190 8 times, resulting in a remainder of 6.
The next digit of our result is 8. 
Result so far: 16589.8
Deduct 184 from 190 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 8:
60 divided by 23 is 2 with a remainder of 14.
The next digit of our result is 2. 
Result so far: 16589.82
If we take 46 away from 60, we end up 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.

On to step 9:
23 can be fit into 140 6 times, resulting in a remainder of 2.
Write down 6 as next digit of the result. 
Result so far: 16589.826
If we take 138 away from 140, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Advancing to step 10:
23 can be fit into 20 0 times, resulting in a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 16589.826
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 11:
When dividing 200 by 23, we get 8 with a remainder of 16.
Use 8 as the next digit of our solution. 
Result so far: 16589.82608
Subtract 184 from 200 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.

Going ahead to step 12:
If we divide 160 by 23, we get 6 and a remainder of 22.
Record the quotient 6 as the next digit in the result. 
Result so far: 16589.826086
Deduct 138 from 160 and we're left with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Advancing to step 13:
The number 23 fits into 220 9 times, leaving a remainder of 13.
The number 9 becomes the next digit in our result. 
Result so far: 16589.8260869
The remainder is 13 after subtracting 207 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 14:
If we divide 130 by 23, we get 5 and a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 16589.82608695
Deduct 115 from 130 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.

Our division results in 16589.82608695 with a remaining 1.5e-08.