37886 divided by 88 
We want to figure out the number of times 37886 can be divided by 88.

Advancing to step 1:
When dividing 3 by 88, we get 0 with a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Append the next digit (7) from the dividend to 3 and continue with: 37 / 88

On to step 2:
88 goes into 37 0 times with a remainder of 37.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 37 after subtracting 0 from 37.
Include the next digit (8) from the dividend after 37, then repeat: 378 / 88

Moving on to step 3:
When dividing 378 by 88, we get 4 with a remainder of 26.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 352 from 378 and we're left with 26.
Take the next digit (8) from the dividend and append it to 26, then repeat: 268 / 88

Going ahead to step 4:
88 goes into 268 3 times with a remainder of 4.
Write down 3 as next digit of the result. 
Result so far: 43.0
Deduct 264 from 268 and we're left with 4.
Fetch the next digit (6) from the dividend, attach it to 4 and continue: 46 / 88

Moving on to step 5:
If we divide 46 by 88, we get 0 and a remainder of 46.
Use 0 as the next digit of our solution. 
Result so far: 430.0
The remainder is 46 after subtracting 0 from 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 6:
If we divide 460 by 88, we get 5 and a remainder of 20.
Put 5 as the next digit of the answer. 
Result so far: 430.5
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.

Moving on to step 7:
When dividing 200 by 88, we get 2 with a remainder of 24.
The next digit of our result is 2. 
Result so far: 430.52
If we take 176 away from 200, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 8:
88 can be fit into 240 2 times, resulting in a remainder of 64.
Record the quotient 2 as the next digit in the result. 
Result so far: 430.522
If we take 176 away from 240, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

In conclusion, the division gives 430.522 with a balance of 0.0064.