We look at the division of 137886 by 88 
Our goal is to divide 137886 by 88.

Going ahead to step 1:
When dividing 1 by 88, we get 0 with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 88

On to step 2:
13 divided by 88 is 0 with a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 13, we end up with 13.
Take the next digit (7) from the dividend and append it to 13, then repeat: 137 / 88

Step 3:
If we divide 137 by 88, we get 1 and a remainder of 49.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 88 from 137, we get 49.
Include the next digit (8) from the dividend after 49, then repeat: 498 / 88

Moving on to step 4:
If we divide 498 by 88, we get 5 and a remainder of 58.
The number 5 becomes the next digit in our result. 
Result so far: 15.0
Subtracting 440 from 498 leaves us with 58.
Bring next digit (8) of the dividend behind the 58 and repeat the process: 588 / 88

Advancing to step 5:
88 goes into 588 6 times with a remainder of 60.
Use 6 as the next digit of our solution. 
Result so far: 156.0
Deduct 528 from 588 and we're left with 60.
Grab the next digit (6) from the dividend, add it to 60, then carry on: 606 / 88

Advancing to step 6:
The number 88 fits into 606 6 times, leaving a remainder of 78.
Write down 6 as next digit of the result. 
Result so far: 1566.0
If we subtract 528 from 606, we get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Let's proceed to step 7:
780 divided by 88 is 8 with a remainder of 76.
Write down 8 as next digit of the result. 
Result so far: 1566.8
If we subtract 704 from 780, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Going ahead to step 8:
When dividing 760 by 88, we get 8 with a remainder of 56.
The next digit of our result is 8. 
Result so far: 1566.88
If we take 704 away from 760, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

The final outcome is 1566.88, with a leftover of 0.056.