We're dividing 55956663 by 603 
Our goal is to divide 55956663 by 603.

Going ahead to step 1:
603 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Take the next digit (5) from the dividend and append it to 5, then repeat: 55 / 603

Moving on to step 2:
If we divide 55 by 603, we get 0 and a remainder of 55.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 55 leaves us with 55.
Fetch the next digit (9) from the dividend, attach it to 55 and continue: 559 / 603

Going ahead to step 3:
603 can be fit into 559 0 times, resulting in a remainder of 559.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 559 after subtracting 0 from 559.
Fetch the next digit (5) from the dividend, attach it to 559 and continue: 5595 / 603

On to step 4:
When dividing 5595 by 603, we get 9 with a remainder of 168.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 168 after subtracting 5427 from 5595.
Append the next digit (6) from the dividend to 168 and continue with: 1686 / 603

On to step 5:
If we divide 1686 by 603, we get 2 and a remainder of 480.
Record the quotient 2 as the next digit in the result. 
Result so far: 92.0
The remainder is 480 after subtracting 1206 from 1686.
Bring next digit (6) of the dividend behind the 480 and repeat the process: 4806 / 603

Moving on to step 6:
The number 603 fits into 4806 7 times, leaving a remainder of 585.
The number 7 becomes the next digit in our result. 
Result so far: 927.0
If we subtract 4221 from 4806, we get 585.
Append the next digit (6) from the dividend to 585 and continue with: 5856 / 603

Advancing to step 7:
When dividing 5856 by 603, we get 9 with a remainder of 429.
Put 9 as the next digit of the answer. 
Result so far: 9279.0
The remainder is 429 after subtracting 5427 from 5856.
Grab the next digit (3) from the dividend, add it to 429, then carry on: 4293 / 603

Going ahead to step 8:
4293 divided by 603 is 7 with a remainder of 72.
Put 7 as the next digit of the answer. 
Result so far: 92797.0
If we take 4221 away from 4293, we end up with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 9:
If we divide 720 by 603, we get 1 and a remainder of 117.
The number 1 becomes the next digit in our result. 
Result so far: 92797.1
The remainder is 117 after subtracting 603 from 720.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1170, and continue the process.

Let's proceed to step 10:
603 goes into 1170 1 times with a remainder of 567.
The number 1 becomes the next digit in our result. 
Result so far: 92797.11
Deduct 603 from 1170 and we're left with 567.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5670, and continue the process.

The final result is 92797.11 with a remainder of 0.567.