Let's divide 109095 by 87
We're looking to find how many times 87 goes into 109095.

Advancing to step 1:
The number 87 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 87

Step 2:
87 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
Subtract 0 from 10 to get 10.
Grab the next digit (9) from the dividend, add it to 10, then carry on: 109 / 87

Let's proceed to step 3:
When dividing 109 by 87, we get 1 with a remainder of 22.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 22 after subtracting 87 from 109.
Fetch the next digit (0) from the dividend, attach it to 22 and continue: 220 / 87

On to step 4:
220 divided by 87 is 2 with a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 174 from 220 and we're left with 46.
Take the next digit (9) from the dividend and append it to 46, then repeat: 469 / 87

Step 5:
469 divided by 87 is 5 with a remainder of 34.
The next digit of our result is 5. 
Result so far: 125.0
If we take 435 away from 469, we end up with 34.
Append the next digit (5) from the dividend to 34 and continue with: 345 / 87

Step 6:
The number 87 fits into 345 3 times, leaving a remainder of 84.
Put 3 as the next digit of the answer. 
Result so far: 1253.0
Subtracting 261 from 345 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 7:
87 goes into 840 9 times with a remainder of 57.
The next digit of our result is 9. 
Result so far: 1253.9
Subtract 783 from 840 to get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 8:
570 divided by 87 is 6 with a remainder of 48.
The number 6 becomes the next digit in our result. 
Result so far: 1253.96
Deduct 522 from 570 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 9:
87 can be fit into 480 5 times, resulting in a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 1253.965
If we subtract 435 from 480, we 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.

Let's proceed to step 10:
87 can be fit into 450 5 times, resulting in a remainder of 15.
Put 5 as the next digit of the answer. 
Result so far: 1253.9655
Subtracting 435 from 450 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

In conclusion, the division gives 1253.9655 with a balance of 0.00015.