We're dividing 107187 by 85 
We want to figure out the number of times 107187 can be divided by 85.

Step 1:
The number 85 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.
Append the next digit (0) from the dividend to 1 and continue with: 10 / 85

Advancing to step 2:
85 goes into 10 0 times with a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Append the next digit (7) from the dividend to 10 and continue with: 107 / 85

Step 3:
85 goes into 107 1 times with a remainder of 22.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 22 after subtracting 85 from 107.
Take the next digit (1) from the dividend and append it to 22, then repeat: 221 / 85

Step 4:
The number 85 fits into 221 2 times, leaving a remainder of 51.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 170 from 221 and we're left with 51.
Append the next digit (8) from the dividend to 51 and continue with: 518 / 85

Let's proceed to step 5:
If we divide 518 by 85, we get 6 and a remainder of 8.
Write down 6 as next digit of the result. 
Result so far: 126.0
If we take 510 away from 518, we end up with 8.
Include the next digit (7) from the dividend after 8, then repeat: 87 / 85

Let's proceed to step 6:
When dividing 87 by 85, we get 1 with a remainder of 2.
Use 1 as the next digit of our solution. 
Result so far: 1261.0
Subtract 85 from 87 to 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.

Going ahead to step 7:
85 can be fit into 20 0 times, resulting in a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 1261.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
If we divide 200 by 85, we get 2 and a remainder of 30.
Use 2 as the next digit of our solution. 
Result so far: 1261.02
The remainder is 30 after subtracting 170 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 9:
When dividing 300 by 85, we get 3 with a remainder of 45.
The next digit of our result is 3. 
Result so far: 1261.023
If we subtract 255 from 300, 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.

Step 10:
If we divide 450 by 85, we get 5 and a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 1261.0235
The remainder is 25 after subtracting 425 from 450.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 11:
85 can be fit into 250 2 times, resulting in a remainder of 80.
Write down 2 as next digit of the result. 
Result so far: 1261.02352
If we take 170 away from 250, we end up with 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 800, and continue the process.

Moving on to step 12:
If we divide 800 by 85, we get 9 and a remainder of 35.
Put 9 as the next digit of the answer. 
Result so far: 1261.023529
Subtract 765 from 800 to get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 13:
When dividing 350 by 85, we get 4 with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 1261.0235294
If we subtract 340 from 350, we get 10.
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 14:
If we divide 100 by 85, we get 1 and a remainder of 15.
Record the quotient 1 as the next digit in the result. 
Result so far: 1261.02352941
The remainder is 15 after subtracting 85 from 100.
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 1261.02352941 with a balance of 1.5e-08.