We look at the division of 95203 by 19 
We want to figure out the number of times 95203 can be divided by 19.

On to step 1:
When dividing 9 by 19, we get 0 with a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 19

On to step 2:
19 goes into 95 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we subtract 95 from 95, we get 0.
Fetch the next digit (2) from the dividend, attach it to 0 and continue: 2 / 19

Moving on to step 3:
2 divided by 19 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 50.0
If we take 0 away from 2, we end up with 2.
Append the next digit (0) from the dividend to 2 and continue with: 20 / 19

Step 4:
When dividing 20 by 19, we get 1 with a remainder of 1.
Use 1 as the next digit of our solution. 
Result so far: 501.0
Subtract 19 from 20 to get 1.
Append the next digit (3) from the dividend to 1 and continue with: 13 / 19

Let's proceed to step 5:
When dividing 13 by 19, we get 0 with a remainder of 13.
Record the quotient 0 as the next digit in the result. 
Result so far: 5010.0
If we subtract 0 from 13, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 6:
19 can be fit into 130 6 times, resulting in a remainder of 16.
The number 6 becomes the next digit in our result. 
Result so far: 5010.6
The remainder is 16 after subtracting 114 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
19 goes into 160 8 times with a remainder of 8.
The number 8 becomes the next digit in our result. 
Result so far: 5010.68
Subtracting 152 from 160 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Going ahead to step 8:
19 goes into 80 4 times with a remainder of 4.
The next digit of our result is 4. 
Result so far: 5010.684
Subtracting 76 from 80 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
40 divided by 19 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 5010.6842
Subtract 38 from 40 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 10:
If we divide 20 by 19, we get 1 and a remainder of 1.
The next digit of our result is 1. 
Result so far: 5010.68421
If we subtract 19 from 20, we 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.

Going ahead to step 11:
10 divided by 19 is 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 5010.68421
Deduct 0 from 10 and we're left 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.

Let's proceed to step 12:
19 goes into 100 5 times with a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 5010.6842105
If we take 95 away from 100, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
19 goes into 50 2 times with a remainder of 12.
The number 2 becomes the next digit in our result. 
Result so far: 5010.68421052
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.

The quotient of the division is 5010.68421052, and the remainder is 1.2e-08.