19365 ÷ 95 
Our goal is to divide 19365 by 95.

On to step 1:
95 can be fit into 1 0 times, resulting in a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (9) from the dividend to 1 and continue with: 19 / 95

Going ahead to step 2:
When dividing 19 by 95, we get 0 with a remainder of 19.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 19 leaves us with 19.
Grab the next digit (3) from the dividend, add it to 19, then carry on: 193 / 95

Going ahead to step 3:
When dividing 193 by 95, we get 2 with a remainder of 3.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
The remainder is 3 after subtracting 190 from 193.
Include the next digit (6) from the dividend after 3, then repeat: 36 / 95

Moving on to step 4:
When dividing 36 by 95, we get 0 with a remainder of 36.
Put 0 as the next digit of the answer. 
Result so far: 20.0
If we subtract 0 from 36, we get 36.
Include the next digit (5) from the dividend after 36, then repeat: 365 / 95

Advancing to step 5:
The number 95 fits into 365 3 times, leaving a remainder of 80.
The number 3 becomes the next digit in our result. 
Result so far: 203.0
If we subtract 285 from 365, we get 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Going ahead to step 6:
If we divide 800 by 95, we get 8 and a remainder of 40.
Put 8 as the next digit of the answer. 
Result so far: 203.8
Subtracting 760 from 800 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 7:
95 goes into 400 4 times with a remainder of 20.
Use 4 as the next digit of our solution. 
Result so far: 203.84
Subtract 380 from 400 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.

Moving on to step 8:
If we divide 200 by 95, we get 2 and a remainder of 10.
The number 2 becomes the next digit in our result. 
Result so far: 203.842
The remainder is 10 after subtracting 190 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 9:
95 can be fit into 100 1 times, resulting in a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 203.8421
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 10:
95 goes into 50 0 times with a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 203.8421
Subtracting 0 from 50 leaves us with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Moving on to step 11:
95 can be fit into 500 5 times, resulting in a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 203.842105
The remainder is 25 after subtracting 475 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Advancing to step 12:
When dividing 250 by 95, we get 2 with a remainder of 60.
Record the quotient 2 as the next digit in the result. 
Result so far: 203.8421052
If we take 190 away from 250, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Let's proceed to step 13:
The number 95 fits into 600 6 times, leaving a remainder of 30.
Record the quotient 6 as the next digit in the result. 
Result so far: 203.84210526
The remainder is 30 after subtracting 570 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

After the division, we end up with 203.84210526 and a remainder of 3e-08.