38260 ÷ 88 
We want to divide 38260 by 88.

Step 1:
If we divide 3 by 88, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Grab the next digit (8) from the dividend, add it to 3, then carry on: 38 / 88

Going ahead to step 2:
88 goes into 38 0 times with a remainder of 38.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 38 and we're left with 38.
Grab the next digit (2) from the dividend, add it to 38, then carry on: 382 / 88

Let's proceed to step 3:
The number 88 fits into 382 4 times, leaving a remainder of 30.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 352 from 382 and we're left with 30.
Take the next digit (6) from the dividend and append it to 30, then repeat: 306 / 88

Step 4:
If we divide 306 by 88, we get 3 and a remainder of 42.
Write down 3 as next digit of the result. 
Result so far: 43.0
The remainder is 42 after subtracting 264 from 306.
Append the next digit (0) from the dividend to 42 and continue with: 420 / 88

On to step 5:
If we divide 420 by 88, we get 4 and a remainder of 68.
The next digit of our result is 4. 
Result so far: 434.0
The remainder is 68 after subtracting 352 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 6:
88 can be fit into 680 7 times, resulting in a remainder of 64.
The next digit of our result is 7. 
Result so far: 434.7
Deduct 616 from 680 and we're left 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.

Let's proceed to step 7:
If we divide 640 by 88, we get 7 and a remainder of 24.
The number 7 becomes the next digit in our result. 
Result so far: 434.77
Deduct 616 from 640 and we're left 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.

Our division results in 434.77 with a remaining 0.024.