109788 divided by 87 
We want to figure out the number of times 109788 can be divided by 87.

On to step 1:
87 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 87

Moving on to step 2:
87 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 10 and we're left with 10.
Take the next digit (9) from the dividend and append it to 10, then repeat: 109 / 87

Going ahead to step 3:
109 divided by 87 is 1 with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 87 from 109, we get 22.
Take the next digit (7) from the dividend and append it to 22, then repeat: 227 / 87

On to step 4:
If we divide 227 by 87, we get 2 and a remainder of 53.
The next digit of our result is 2. 
Result so far: 12.0
Deduct 174 from 227 and we're left with 53.
Fetch the next digit (8) from the dividend, attach it to 53 and continue: 538 / 87

Step 5:
87 goes into 538 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 126.0
The remainder is 16 after subtracting 522 from 538.
Bring next digit (8) of the dividend behind the 16 and repeat the process: 168 / 87

Step 6:
87 goes into 168 1 times with a remainder of 81.
The number 1 becomes the next digit in our result. 
Result so far: 1261.0
The remainder is 81 after subtracting 87 from 168.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

Let's proceed to step 7:
When dividing 810 by 87, we get 9 with a remainder of 27.
The number 9 becomes the next digit in our result. 
Result so far: 1261.9
The remainder is 27 after subtracting 783 from 810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 8:
When dividing 270 by 87, we get 3 with a remainder of 9.
Put 3 as the next digit of the answer. 
Result so far: 1261.93
If we take 261 away from 270, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 9:
When dividing 90 by 87, we get 1 with a remainder of 3.
The number 1 becomes the next digit in our result. 
Result so far: 1261.931
Subtract 87 from 90 to get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 10:
87 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 1261.931
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Let's proceed to step 11:
87 can be fit into 300 3 times, resulting in a remainder of 39.
Put 3 as the next digit of the answer. 
Result so far: 1261.93103
If we subtract 261 from 300, we get 39.
Since there are no more digits in the dividend, we add a zero to the remainder making it 390, and continue the process.

Advancing to step 12:
The number 87 fits into 390 4 times, leaving a remainder of 42.
Record the quotient 4 as the next digit in the result. 
Result so far: 1261.931034
Subtracting 348 from 390 leaves us with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

On to step 13:
420 divided by 87 is 4 with a remainder of 72.
Record the quotient 4 as the next digit in the result. 
Result so far: 1261.9310344
If we take 348 away from 420, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

In conclusion, the division gives 1261.9310344 with a balance of 7.2e-07.