We look at the division of 99633589 by 903 
Our goal is to divide 99633589 by 903.

Moving on to step 1:
The number 903 fits into 9 0 times, leaving a remainder of 9.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Bring next digit (9) of the dividend behind the 9 and repeat the process: 99 / 903

Step 2:
903 goes into 99 0 times with a remainder of 99.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 99, we end up with 99.
Append the next digit (6) from the dividend to 99 and continue with: 996 / 903

Step 3:
996 divided by 903 is 1 with a remainder of 93.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
Deduct 903 from 996 and we're left with 93.
Grab the next digit (3) from the dividend, add it to 93, then carry on: 933 / 903

Advancing to step 4:
903 can be fit into 933 1 times, resulting in a remainder of 30.
Write down 1 as next digit of the result. 
Result so far: 11.0
If we take 903 away from 933, we end up with 30.
Include the next digit (3) from the dividend after 30, then repeat: 303 / 903

On to step 5:
The number 903 fits into 303 0 times, leaving a remainder of 303.
Put 0 as the next digit of the answer. 
Result so far: 110.0
Deduct 0 from 303 and we're left with 303.
Take the next digit (5) from the dividend and append it to 303, then repeat: 3035 / 903

Step 6:
903 can be fit into 3035 3 times, resulting in a remainder of 326.
Use 3 as the next digit of our solution. 
Result so far: 1103.0
If we take 2709 away from 3035, we end up with 326.
Take the next digit (8) from the dividend and append it to 326, then repeat: 3268 / 903

Let's proceed to step 7:
903 can be fit into 3268 3 times, resulting in a remainder of 559.
Write down 3 as next digit of the result. 
Result so far: 11033.0
The remainder is 559 after subtracting 2709 from 3268.
Include the next digit (9) from the dividend after 559, then repeat: 5599 / 903

Going ahead to step 8:
When dividing 5599 by 903, we get 6 with a remainder of 181.
Write down 6 as next digit of the result. 
Result so far: 110336.0
Subtracting 5418 from 5599 leaves us with 181.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1810, and continue the process.

Step 9:
903 can be fit into 1810 2 times, resulting in a remainder of 4.
Put 2 as the next digit of the answer. 
Result so far: 110336.2
The remainder is 4 after subtracting 1806 from 1810.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 10:
40 divided by 903 is 0 with a remainder of 40.
Put 0 as the next digit of the answer. 
Result so far: 110336.2
Deduct 0 from 40 and we're left 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.

Advancing to step 11:
If we divide 400 by 903, we get 0 and a remainder of 400.
The number 0 becomes the next digit in our result. 
Result so far: 110336.2
Subtracting 0 from 400 leaves us with 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4000, and continue the process.

After the division, we end up with 110336.2 and a remainder of 0.04.