10206 ÷ 19 
Let's see how many times 19 fits into 10206.

Let's proceed to step 1:
If we divide 1 by 19, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 19

On to step 2:
The number 19 fits into 10 0 times, leaving a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Fetch the next digit (2) from the dividend, attach it to 10 and continue: 102 / 19

Advancing to step 3:
If we divide 102 by 19, we get 5 and a remainder of 7.
Write down 5 as next digit of the result. 
Result so far: 5.0
The remainder is 7 after subtracting 95 from 102.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 19

Let's proceed to step 4:
19 goes into 70 3 times with a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 53.0
If we subtract 57 from 70, we get 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 19

Moving on to step 5:
The number 19 fits into 136 7 times, leaving a remainder of 3.
Use 7 as the next digit of our solution. 
Result so far: 537.0
Deduct 133 from 136 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.

Step 6:
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: 537.1
If we subtract 19 from 30, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Step 7:
19 can be fit into 110 5 times, resulting in a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 537.15
The remainder is 15 after subtracting 95 from 110.
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 8:
150 divided by 19 is 7 with a remainder of 17.
Put 7 as the next digit of the answer. 
Result so far: 537.157
If we subtract 133 from 150, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 9:
When dividing 170 by 19, we get 8 with a remainder of 18.
Put 8 as the next digit of the answer. 
Result so far: 537.1578
Deduct 152 from 170 and we're left 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.

Step 10:
If we divide 180 by 19, we get 9 and a remainder of 9.
Write down 9 as next digit of the result. 
Result so far: 537.15789
Subtract 171 from 180 to get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Let's proceed to step 11:
90 divided by 19 is 4 with a remainder of 14.
Put 4 as the next digit of the answer. 
Result so far: 537.157894
The remainder is 14 after subtracting 76 from 90.
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 12:
If we divide 140 by 19, we get 7 and a remainder of 7.
Write down 7 as next digit of the result. 
Result so far: 537.1578947
If we subtract 133 from 140, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Step 13:
The number 19 fits into 70 3 times, leaving a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 537.15789473
Subtracting 57 from 70 leaves us 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.

The final result is 537.15789473 with a remainder of 1.3e-08.