We're dividing 113414 by 95 
We're looking to find how many times 95 goes into 113414.

Going ahead to step 1:
The number 95 fits into 1 0 times, leaving a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (1) from the dividend, attach it to 1 and continue: 11 / 95

Going ahead to step 2:
11 divided by 95 is 0 with a remainder of 11.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Take the next digit (3) from the dividend and append it to 11, then repeat: 113 / 95

Let's proceed to step 3:
If we divide 113 by 95, we get 1 and a remainder of 18.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 18 after subtracting 95 from 113.
Append the next digit (4) from the dividend to 18 and continue with: 184 / 95

Advancing to step 4:
If we divide 184 by 95, we get 1 and a remainder of 89.
Put 1 as the next digit of the answer. 
Result so far: 11.0
Subtract 95 from 184 to get 89.
Fetch the next digit (1) from the dividend, attach it to 89 and continue: 891 / 95

Moving on to step 5:
95 can be fit into 891 9 times, resulting in a remainder of 36.
Use 9 as the next digit of our solution. 
Result so far: 119.0
Subtracting 855 from 891 leaves us with 36.
Grab the next digit (4) from the dividend, add it to 36, then carry on: 364 / 95

On to step 6:
364 divided by 95 is 3 with a remainder of 79.
The next digit of our result is 3. 
Result so far: 1193.0
If we take 285 away from 364, we end up with 79.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Advancing to step 7:
The number 95 fits into 790 8 times, leaving a remainder of 30.
Write down 8 as next digit of the result. 
Result so far: 1193.8
The remainder is 30 after subtracting 760 from 790.
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 8:
95 goes into 300 3 times with a remainder of 15.
Use 3 as the next digit of our solution. 
Result so far: 1193.83
The remainder is 15 after subtracting 285 from 300.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

On to step 9:
If we divide 150 by 95, we get 1 and a remainder of 55.
Record the quotient 1 as the next digit in the result. 
Result so far: 1193.831
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:
When dividing 550 by 95, we get 5 with a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 1193.8315
Deduct 475 from 550 and we're left with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 11:
750 divided by 95 is 7 with a remainder of 85.
The next digit of our result is 7. 
Result so far: 1193.83157
If we take 665 away from 750, 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 12:
When dividing 850 by 95, we get 8 with a remainder of 90.
The next digit of our result is 8. 
Result so far: 1193.831578
Subtracting 760 from 850 leaves us 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.

Advancing to step 13:
When dividing 900 by 95, we get 9 with a remainder of 45.
The next digit of our result is 9. 
Result so far: 1193.8315789
Subtract 855 from 900 to get 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 14:
When dividing 450 by 95, we get 4 with a remainder of 70.
Write down 4 as next digit of the result. 
Result so far: 1193.83157894
Deduct 380 from 450 and we're left 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.

The final result is 1193.83157894 with a remainder of 7e-08.