We're dividing 206588 by 19 
Our goal is to divide 206588 by 19.

Let's proceed to step 1:
When dividing 2 by 19, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Include the next digit (0) from the dividend after 2, then repeat: 20 / 19

Let's proceed to step 2:
19 goes into 20 1 times with a remainder of 1.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 1 after subtracting 19 from 20.
Include the next digit (6) from the dividend after 1, then repeat: 16 / 19

Advancing to step 3:
19 goes into 16 0 times with a remainder of 16.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
The remainder is 16 after subtracting 0 from 16.
Take the next digit (5) from the dividend and append it to 16, then repeat: 165 / 19

Step 4:
19 goes into 165 8 times with a remainder of 13.
The next digit of our result is 8. 
Result so far: 108.0
Subtracting 152 from 165 leaves us with 13.
Include the next digit (8) from the dividend after 13, then repeat: 138 / 19

Moving on to step 5:
The number 19 fits into 138 7 times, leaving a remainder of 5.
Put 7 as the next digit of the answer. 
Result so far: 1087.0
If we take 133 away from 138, we end up with 5.
Grab the next digit (8) from the dividend, add it to 5, then carry on: 58 / 19

Moving on to step 6:
58 divided by 19 is 3 with a remainder of 1.
Record the quotient 3 as the next digit in the result. 
Result so far: 10873.0
Subtract 57 from 58 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 7:
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: 10873.0
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.

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: 10873.05
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.

Step 9:
50 divided by 19 is 2 with a remainder of 12.
The next digit of our result is 2. 
Result so far: 10873.052
If we take 38 away from 50, we end up 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.

Going ahead to step 10:
120 divided by 19 is 6 with a remainder of 6.
Record the quotient 6 as the next digit in the result. 
Result so far: 10873.0526
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:
If we divide 60 by 19, we get 3 and a remainder of 3.
Write down 3 as next digit of the result. 
Result so far: 10873.05263
Deduct 57 from 60 and we're left 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.

Let's proceed to step 12:
When dividing 30 by 19, we get 1 with a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 10873.052631
Deduct 19 from 30 and we're left 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.

Going ahead to step 13:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Use 5 as the next digit of our solution. 
Result so far: 10873.0526315
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:
If we divide 150 by 19, we get 7 and a remainder of 17.
Use 7 as the next digit of our solution. 
Result so far: 10873.05263157
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 outcome is 10873.05263157, with a leftover of 1.7e-08.