We look at the division of 153603 by 88 
We're looking to find how many times 88 goes into 153603.

Going ahead to step 1:
If we divide 1 by 88, we get 0 and a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Fetch the next digit (5) from the dividend, attach it to 1 and continue: 15 / 88

Moving on to step 2:
88 can be fit into 15 0 times, resulting in a remainder of 15.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 15, we get 15.
Grab the next digit (3) from the dividend, add it to 15, then carry on: 153 / 88

Let's proceed to step 3:
88 can be fit into 153 1 times, resulting in a remainder of 65.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 88 away from 153, we end up with 65.
Grab the next digit (6) from the dividend, add it to 65, then carry on: 656 / 88

Step 4:
88 goes into 656 7 times with a remainder of 40.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Deduct 616 from 656 and we're left with 40.
Grab the next digit (0) from the dividend, add it to 40, then carry on: 400 / 88

Going ahead to step 5:
88 goes into 400 4 times with a remainder of 48.
The next digit of our result is 4. 
Result so far: 174.0
Subtracting 352 from 400 leaves us with 48.
Bring next digit (3) of the dividend behind the 48 and repeat the process: 483 / 88

Step 6:
88 can be fit into 483 5 times, resulting in a remainder of 43.
Write down 5 as next digit of the result. 
Result so far: 1745.0
The remainder is 43 after subtracting 440 from 483.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Step 7:
When dividing 430 by 88, we get 4 with a remainder of 78.
The next digit of our result is 4. 
Result so far: 1745.4
Deduct 352 from 430 and we're left with 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Moving on to step 8:
If we divide 780 by 88, we get 8 and a remainder of 76.
Put 8 as the next digit of the answer. 
Result so far: 1745.48
Subtract 704 from 780 to 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.

Advancing to step 9:
88 goes into 760 8 times with a remainder of 56.
Write down 8 as next digit of the result. 
Result so far: 1745.488
The remainder is 56 after subtracting 704 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

After the division, we end up with 1745.488 and a remainder of 0.0056.