15338 divided by 88 
Our goal is to divide 15338 by 88.

Going ahead to step 1:
1 divided by 88 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (5) from the dividend and append it to 1, then repeat: 15 / 88

Step 2:
When dividing 15 by 88, we get 0 with a remainder of 15.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 15 to get 15.
Fetch the next digit (3) from the dividend, attach it to 15 and continue: 153 / 88

On to step 3:
If we divide 153 by 88, we get 1 and a remainder of 65.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 88 from 153, we get 65.
Fetch the next digit (3) from the dividend, attach it to 65 and continue: 653 / 88

On to step 4:
88 can be fit into 653 7 times, resulting in a remainder of 37.
The next digit of our result is 7. 
Result so far: 17.0
Subtracting 616 from 653 leaves us with 37.
Take the next digit (8) from the dividend and append it to 37, then repeat: 378 / 88

Let's proceed to step 5:
88 goes into 378 4 times with a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 174.0
Subtract 352 from 378 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

On to step 6:
When dividing 260 by 88, we get 2 with a remainder of 84.
The next digit of our result is 2. 
Result so far: 174.2
Subtracting 176 from 260 leaves us with 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Moving on to step 7:
When dividing 840 by 88, we get 9 with a remainder of 48.
The number 9 becomes the next digit in our result. 
Result so far: 174.29
If we take 792 away from 840, we end up with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Going ahead to step 8:
If we divide 480 by 88, we get 5 and a remainder of 40.
The next digit of our result is 5. 
Result so far: 174.295
Subtract 440 from 480 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
400 divided by 88 is 4 with a remainder of 48.
Write down 4 as next digit of the result. 
Result so far: 174.2954
Subtracting 352 from 400 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

On to step 10:
88 goes into 480 5 times with a remainder of 40.
Put 5 as the next digit of the answer. 
Result so far: 174.29545
If we take 440 away from 480, we end up with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 11:
When dividing 400 by 88, we get 4 with a remainder of 48.
Use 4 as the next digit of our solution. 
Result so far: 174.295454
Deduct 352 from 400 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

Let's proceed to step 12:
480 divided by 88 is 5 with a remainder of 40.
Record the quotient 5 as the next digit in the result. 
Result so far: 174.2954545
The remainder is 40 after subtracting 440 from 480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 13:
88 goes into 400 4 times with a remainder of 48.
Put 4 as the next digit of the answer. 
Result so far: 174.29545454
Deduct 352 from 400 and we're left with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

After the division, we end up with 174.29545454 and a remainder of 4.8e-08.