We're dividing 79172 by 95 
We want to divide 79172 by 95.

Step 1:
95 can be fit into 7 0 times, resulting in a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 7 and we're left with 7.
Bring next digit (9) of the dividend behind the 7 and repeat the process: 79 / 95

Going ahead to step 2:
95 goes into 79 0 times with a remainder of 79.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 79 and we're left with 79.
Bring next digit (1) of the dividend behind the 79 and repeat the process: 791 / 95

Going ahead to step 3:
When dividing 791 by 95, we get 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
Subtracting 760 from 791 leaves us with 31.
Append the next digit (7) from the dividend to 31 and continue with: 317 / 95

Let's proceed to step 4:
If we divide 317 by 95, we get 3 and a remainder of 32.
Record the quotient 3 as the next digit in the result. 
Result so far: 83.0
Subtracting 285 from 317 leaves us with 32.
Grab the next digit (2) from the dividend, add it to 32, then carry on: 322 / 95

Step 5:
If we divide 322 by 95, we get 3 and a remainder of 37.
Use 3 as the next digit of our solution. 
Result so far: 833.0
Subtract 285 from 322 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 6:
95 goes into 370 3 times with a remainder of 85.
Use 3 as the next digit of our solution. 
Result so far: 833.3
If we take 285 away from 370, we end up with 85.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

On to step 7:
The number 95 fits into 850 8 times, leaving a remainder of 90.
Record the quotient 8 as the next digit in the result. 
Result so far: 833.38
If we subtract 760 from 850, we get 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Step 8:
If we divide 900 by 95, we get 9 and a remainder of 45.
Record the quotient 9 as the next digit in the result. 
Result so far: 833.389
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.

On to step 9:
The number 95 fits into 450 4 times, leaving a remainder of 70.
The number 4 becomes the next digit in our result. 
Result so far: 833.3894
If we take 380 away from 450, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Step 10:
700 divided by 95 is 7 with a remainder of 35.
Put 7 as the next digit of the answer. 
Result so far: 833.38947
If we subtract 665 from 700, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 11:
When dividing 350 by 95, we get 3 with a remainder of 65.
Write down 3 as next digit of the result. 
Result so far: 833.389473
Subtracting 285 from 350 leaves us with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

On to step 12:
650 divided by 95 is 6 with a remainder of 80.
The next digit of our result is 6. 
Result so far: 833.3894736
Subtracting 570 from 650 leaves us with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 13:
When dividing 800 by 95, we get 8 with a remainder of 40.
Record the quotient 8 as the next digit in the result. 
Result so far: 833.38947368
If we take 760 away from 800, we end up 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.

Our division results in 833.38947368 with a remaining 4e-08.