95903 ÷ 95 
Our goal is to divide 95903 by 95.

Advancing to step 1:
9 divided by 95 is 0 with a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Bring next digit (5) of the dividend behind the 9 and repeat the process: 95 / 95

Going ahead to step 2:
95 goes into 95 1 times with a remainder of 0.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtracting 95 from 95 leaves us with 0.
Fetch the next digit (9) from the dividend, attach it to 0 and continue: 9 / 95

Advancing to step 3:
When dividing 9 by 95, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
If we take 0 away from 9, we end up with 9.
Bring next digit (0) of the dividend behind the 9 and repeat the process: 90 / 95

Step 4:
If we divide 90 by 95, we get 0 and a remainder of 90.
The number 0 becomes the next digit in our result. 
Result so far: 100.0
The remainder is 90 after subtracting 0 from 90.
Include the next digit (3) from the dividend after 90, then repeat: 903 / 95

Step 5:
The number 95 fits into 903 9 times, leaving a remainder of 48.
The number 9 becomes the next digit in our result. 
Result so far: 1009.0
Subtracting 855 from 903 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Moving on to step 6:
The number 95 fits into 480 5 times, leaving a remainder of 5.
Put 5 as the next digit of the answer. 
Result so far: 1009.5
If we subtract 475 from 480, 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.

On to step 7:
The number 95 fits into 50 0 times, leaving a remainder of 50.
The next digit of our result is 0. 
Result so far: 1009.5
The remainder is 50 after subtracting 0 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 8:
500 divided by 95 is 5 with a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 1009.505
Deduct 475 from 500 and we're left with 25.
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 9:
95 goes into 250 2 times with a remainder of 60.
Write down 2 as next digit of the result. 
Result so far: 1009.5052
Subtracting 190 from 250 leaves us 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.

On to step 10:
95 goes into 600 6 times with a remainder of 30.
The next digit of our result is 6. 
Result so far: 1009.50526
If we subtract 570 from 600, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 11:
When dividing 300 by 95, we get 3 with a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 1009.505263
If we take 285 away from 300, 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 12:
95 goes into 150 1 times with a remainder of 55.
The number 1 becomes the next digit in our result. 
Result so far: 1009.5052631
Subtracting 95 from 150 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 13:
550 divided by 95 is 5 with a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 1009.50526315
If we subtract 475 from 550, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

The final outcome is 1009.50526315, with a leftover of 7.5e-08.