We look at the division of 95791 by 14 
We want to divide 95791 by 14.

On to step 1:
The number 14 fits into 9 0 times, leaving a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 14

Let's proceed to step 2:
The number 14 fits into 95 6 times, leaving a remainder of 11.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 84 from 95 and we're left with 11.
Fetch the next digit (7) from the dividend, attach it to 11 and continue: 117 / 14

On to step 3:
The number 14 fits into 117 8 times, leaving a remainder of 5.
Put 8 as the next digit of the answer. 
Result so far: 68.0
If we subtract 112 from 117, we get 5.
Append the next digit (9) from the dividend to 5 and continue with: 59 / 14

Advancing to step 4:
If we divide 59 by 14, we get 4 and a remainder of 3.
Write down 4 as next digit of the result. 
Result so far: 684.0
Deduct 56 from 59 and we're left with 3.
Bring next digit (1) of the dividend behind the 3 and repeat the process: 31 / 14

Step 5:
14 goes into 31 2 times with a remainder of 3.
Record the quotient 2 as the next digit in the result. 
Result so far: 6842.0
Subtracting 28 from 31 leaves us with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 6:
If we divide 30 by 14, we get 2 and a remainder of 2.
The number 2 becomes the next digit in our result. 
Result so far: 6842.2
Deduct 28 from 30 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 7:
14 goes into 20 1 times with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 6842.21
The remainder is 6 after subtracting 14 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Advancing to step 8:
14 can be fit into 60 4 times, resulting in a remainder of 4.
Put 4 as the next digit of the answer. 
Result so far: 6842.214
Deduct 56 from 60 and we're left 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:
14 can be fit into 40 2 times, resulting in a remainder of 12.
Record the quotient 2 as the next digit in the result. 
Result so far: 6842.2142
Subtract 28 from 40 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 10:
If we divide 120 by 14, we get 8 and a remainder of 8.
The next digit of our result is 8. 
Result so far: 6842.21428
Deduct 112 from 120 and we're left 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.

Advancing to step 11:
14 can be fit into 80 5 times, resulting in a remainder of 10.
Put 5 as the next digit of the answer. 
Result so far: 6842.214285
The remainder is 10 after subtracting 70 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 12:
The number 14 fits into 100 7 times, leaving a remainder of 2.
The number 7 becomes the next digit in our result. 
Result so far: 6842.2142857
If we take 98 away from 100, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 13:
When dividing 20 by 14, we get 1 with a remainder of 6.
The next digit of our result is 1. 
Result so far: 6842.21428571
If we subtract 14 from 20, we get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

In conclusion, the division gives 6842.21428571 with a balance of 6e-09.