803171 ÷ 95 
Our goal is to divide 803171 by 95.

On to step 1:
If we divide 8 by 95, we get 0 and a remainder of 8.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 8 to get 8.
Take the next digit (0) from the dividend and append it to 8, then repeat: 80 / 95

On to step 2:
When dividing 80 by 95, we get 0 with a remainder of 80.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 80 leaves us with 80.
Bring next digit (3) of the dividend behind the 80 and repeat the process: 803 / 95

Let's proceed to step 3:
803 divided by 95 is 8 with a remainder of 43.
The number 8 becomes the next digit in our result. 
Result so far: 8.0
The remainder is 43 after subtracting 760 from 803.
Take the next digit (1) from the dividend and append it to 43, then repeat: 431 / 95

Going ahead to step 4:
If we divide 431 by 95, we get 4 and a remainder of 51.
The next digit of our result is 4. 
Result so far: 84.0
The remainder is 51 after subtracting 380 from 431.
Grab the next digit (7) from the dividend, add it to 51, then carry on: 517 / 95

Going ahead to step 5:
The number 95 fits into 517 5 times, leaving a remainder of 42.
The next digit of our result is 5. 
Result so far: 845.0
If we take 475 away from 517, we end up with 42.
Include the next digit (1) from the dividend after 42, then repeat: 421 / 95

Going ahead to step 6:
When dividing 421 by 95, we get 4 with a remainder of 41.
Put 4 as the next digit of the answer. 
Result so far: 8454.0
Subtract 380 from 421 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Advancing to step 7:
410 divided by 95 is 4 with a remainder of 30.
Use 4 as the next digit of our solution. 
Result so far: 8454.4
Subtracting 380 from 410 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 8:
When dividing 300 by 95, we get 3 with a remainder of 15.
Put 3 as the next digit of the answer. 
Result so far: 8454.43
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 9:
When dividing 150 by 95, we get 1 with a remainder of 55.
Use 1 as the next digit of our solution. 
Result so far: 8454.431
If we subtract 95 from 150, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 10:
If we divide 550 by 95, we get 5 and a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 8454.4315
The remainder is 75 after subtracting 475 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 11:
95 goes into 750 7 times with a remainder of 85.
The next digit of our result is 7. 
Result so far: 8454.43157
Subtract 665 from 750 to get 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 12:
95 can be fit into 850 8 times, resulting in a remainder of 90.
Put 8 as the next digit of the answer. 
Result so far: 8454.431578
Deduct 760 from 850 and we're left with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

On to step 13:
When dividing 900 by 95, we get 9 with a remainder of 45.
Use 9 as the next digit of our solution. 
Result so far: 8454.4315789
Deduct 855 from 900 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Let's proceed to step 14:
If we divide 450 by 95, we get 4 and a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 8454.43157894
The remainder is 70 after subtracting 380 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

In conclusion, the division gives 8454.43157894 with a balance of 7e-08.