Let's divide 205343 by 19
We want to divide 205343 by 19.

Step 1:
2 divided by 19 is 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (0) from the dividend, attach it to 2 and continue: 20 / 19

Advancing to step 2:
The number 19 fits into 20 1 times, leaving a remainder of 1.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 1 after subtracting 19 from 20.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 19

On to step 3:
15 divided by 19 is 0 with a remainder of 15.
Record the quotient 0 as the next digit in the result. 
Result so far: 10.0
Deduct 0 from 15 and we're left with 15.
Include the next digit (3) from the dividend after 15, then repeat: 153 / 19

Moving on to step 4:
153 divided by 19 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 108.0
Subtract 152 from 153 to get 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 19

On to step 5:
The number 19 fits into 14 0 times, leaving a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 1080.0
Subtracting 0 from 14 leaves us with 14.
Include the next digit (3) from the dividend after 14, then repeat: 143 / 19

Moving on to step 6:
The number 19 fits into 143 7 times, leaving a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 10807.0
Subtracting 133 from 143 leaves us with 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:
The number 19 fits into 100 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 10807.5
Subtract 95 from 100 to 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.

Step 8:
The number 19 fits into 50 2 times, leaving a remainder of 12.
Use 2 as the next digit of our solution. 
Result so far: 10807.52
If we subtract 38 from 50, we 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.

Advancing to step 9:
If we divide 120 by 19, we get 6 and a remainder of 6.
Use 6 as the next digit of our solution. 
Result so far: 10807.526
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.

Step 10:
If we divide 60 by 19, we get 3 and a remainder of 3.
Put 3 as the next digit of the answer. 
Result so far: 10807.5263
Subtracting 57 from 60 leaves us 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.

On to step 11:
If we divide 30 by 19, we get 1 and a remainder of 11.
Put 1 as the next digit of the answer. 
Result so far: 10807.52631
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.

Moving on to step 12:
110 divided by 19 is 5 with a remainder of 15.
The number 5 becomes the next digit in our result. 
Result so far: 10807.526315
If we take 95 away from 110, 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.

Step 13:
If we divide 150 by 19, we get 7 and a remainder of 17.
The next digit of our result is 7. 
Result so far: 10807.5263157
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.

Advancing to step 14:
If we divide 170 by 19, we get 8 and a remainder of 18.
Record the quotient 8 as the next digit in the result. 
Result so far: 10807.52631578
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.

Our division results in 10807.52631578 with a remaining 1.8e-08.