95114 ÷ 8 
Our goal is to divide 95114 by 8.

Going ahead to step 1:
9 divided by 8 is 1 with a remainder of 1.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 1 after subtracting 8 from 9.
Grab the next digit (5) from the dividend, add it to 1, then carry on: 15 / 8

Moving on to step 2:
The number 8 fits into 15 1 times, leaving a remainder of 7.
Write down 1 as next digit of the result. 
Result so far: 11.0
Subtracting 8 from 15 leaves us with 7.
Grab the next digit (1) from the dividend, add it to 7, then carry on: 71 / 8

Advancing to step 3:
When dividing 71 by 8, we get 8 with a remainder of 7.
Write down 8 as next digit of the result. 
Result so far: 118.0
Subtract 64 from 71 to get 7.
Bring next digit (1) of the dividend behind the 7 and repeat the process: 71 / 8

Let's proceed to step 4:
71 divided by 8 is 8 with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 1188.0
If we subtract 64 from 71, we get 7.
Fetch the next digit (4) from the dividend, attach it to 7 and continue: 74 / 8

Moving on to step 5:
8 goes into 74 9 times with a remainder of 2.
Record the quotient 9 as the next digit in the result. 
Result so far: 11889.0
If we subtract 72 from 74, we 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.

Moving on to step 6:
The number 8 fits into 20 2 times, leaving a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 11889.2
Subtract 16 from 20 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
8 can be fit into 40 5 times, resulting in a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 11889.25
If we subtract 40 from 40, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Moving on to step 8:
The number 8 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 11889.25
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
0 divided by 8 is 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 11889.25
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Our division results in 11889.25 with a remaining 0.0.