We look at the division of 381555 by 88 
We want to figure out the number of times 381555 can be divided by 88.

Let's proceed to step 1:
If we divide 3 by 88, we get 0 and a remainder of 3.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 3, we end up with 3.
Fetch the next digit (8) from the dividend, attach it to 3 and continue: 38 / 88

Let's proceed to step 2:
88 goes into 38 0 times with a remainder of 38.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Include the next digit (1) from the dividend after 38, then repeat: 381 / 88

On to step 3:
When dividing 381 by 88, we get 4 with a remainder of 29.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
The remainder is 29 after subtracting 352 from 381.
Include the next digit (5) from the dividend after 29, then repeat: 295 / 88

On to step 4:
88 can be fit into 295 3 times, resulting in a remainder of 31.
Record the quotient 3 as the next digit in the result. 
Result so far: 43.0
Subtract 264 from 295 to get 31.
Take the next digit (5) from the dividend and append it to 31, then repeat: 315 / 88

On to step 5:
315 divided by 88 is 3 with a remainder of 51.
Put 3 as the next digit of the answer. 
Result so far: 433.0
Deduct 264 from 315 and we're left with 51.
Append the next digit (5) from the dividend to 51 and continue with: 515 / 88

Advancing to step 6:
If we divide 515 by 88, we get 5 and a remainder of 75.
Put 5 as the next digit of the answer. 
Result so far: 4335.0
Subtracting 440 from 515 leaves us 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.

Let's proceed to step 7:
88 goes into 750 8 times with a remainder of 46.
Record the quotient 8 as the next digit in the result. 
Result so far: 4335.8
Subtract 704 from 750 to get 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Advancing to step 8:
460 divided by 88 is 5 with a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 4335.85
Subtract 440 from 460 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Step 9:
The number 88 fits into 200 2 times, leaving a remainder of 24.
Record the quotient 2 as the next digit in the result. 
Result so far: 4335.852
If we subtract 176 from 200, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Step 10:
If we divide 240 by 88, we get 2 and a remainder of 64.
Write down 2 as next digit of the result. 
Result so far: 4335.8522
If we subtract 176 from 240, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Our division results in 4335.8522 with a remaining 0.00064.