We look at the division of 109626 by 95 
We're looking to find how many times 95 goes into 109626.

On to step 1:
The number 95 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 95

Moving on to step 2:
95 can be fit into 10 0 times, resulting in a remainder of 10.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Fetch the next digit (9) from the dividend, attach it to 10 and continue: 109 / 95

Step 3:
95 goes into 109 1 times with a remainder of 14.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtract 95 from 109 to get 14.
Append the next digit (6) from the dividend to 14 and continue with: 146 / 95

Advancing to step 4:
If we divide 146 by 95, we get 1 and a remainder of 51.
The number 1 becomes the next digit in our result. 
Result so far: 11.0
If we take 95 away from 146, we end up with 51.
Grab the next digit (2) from the dividend, add it to 51, then carry on: 512 / 95

Let's proceed to step 5:
512 divided by 95 is 5 with a remainder of 37.
Put 5 as the next digit of the answer. 
Result so far: 115.0
Subtracting 475 from 512 leaves us with 37.
Take the next digit (6) from the dividend and append it to 37, then repeat: 376 / 95

Step 6:
When dividing 376 by 95, we get 3 with a remainder of 91.
Use 3 as the next digit of our solution. 
Result so far: 1153.0
Deduct 285 from 376 and we're left with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Going ahead to step 7:
95 can be fit into 910 9 times, resulting in a remainder of 55.
Record the quotient 9 as the next digit in the result. 
Result so far: 1153.9
Deduct 855 from 910 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 8:
If we divide 550 by 95, we get 5 and a remainder of 75.
Record the quotient 5 as the next digit in the result. 
Result so far: 1153.95
If we subtract 475 from 550, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Going ahead to step 9:
750 divided by 95 is 7 with a remainder of 85.
Record the quotient 7 as the next digit in the result. 
Result so far: 1153.957
The remainder is 85 after subtracting 665 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

Step 10:
The number 95 fits into 850 8 times, leaving a remainder of 90.
Put 8 as the next digit of the answer. 
Result so far: 1153.9578
Subtract 760 from 850 to 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.

Moving on to step 11:
The number 95 fits into 900 9 times, leaving a remainder of 45.
The next digit of our result is 9. 
Result so far: 1153.95789
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 12:
When dividing 450 by 95, we get 4 with a remainder of 70.
Use 4 as the next digit of our solution. 
Result so far: 1153.957894
Subtract 380 from 450 to get 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 13:
95 goes into 700 7 times with a remainder of 35.
The number 7 becomes the next digit in our result. 
Result so far: 1153.9578947
If we take 665 away from 700, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 14:
95 can be fit into 350 3 times, resulting in a remainder of 65.
The number 3 becomes the next digit in our result. 
Result so far: 1153.95789473
If we subtract 285 from 350, we get 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

After the division, we end up with 1153.95789473 and a remainder of 6.5e-08.