We're dividing 57657574 by 603 
We want to figure out the number of times 57657574 can be divided by 603.

Let's proceed to step 1:
603 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Append the next digit (7) from the dividend to 5 and continue with: 57 / 603

Moving on to step 2:
When dividing 57 by 603, we get 0 with a remainder of 57.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 57, we end up with 57.
Bring next digit (6) of the dividend behind the 57 and repeat the process: 576 / 603

Going ahead to step 3:
If we divide 576 by 603, we get 0 and a remainder of 576.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 576 to get 576.
Include the next digit (5) from the dividend after 576, then repeat: 5765 / 603

On to step 4:
603 can be fit into 5765 9 times, resulting in a remainder of 338.
Use 9 as the next digit of our solution. 
Result so far: 9.0
Subtract 5427 from 5765 to get 338.
Include the next digit (7) from the dividend after 338, then repeat: 3387 / 603

Moving on to step 5:
If we divide 3387 by 603, we get 5 and a remainder of 372.
The number 5 becomes the next digit in our result. 
Result so far: 95.0
Deduct 3015 from 3387 and we're left with 372.
Append the next digit (5) from the dividend to 372 and continue with: 3725 / 603

Step 6:
3725 divided by 603 is 6 with a remainder of 107.
Record the quotient 6 as the next digit in the result. 
Result so far: 956.0
If we subtract 3618 from 3725, we get 107.
Append the next digit (7) from the dividend to 107 and continue with: 1077 / 603

Advancing to step 7:
When dividing 1077 by 603, we get 1 with a remainder of 474.
Put 1 as the next digit of the answer. 
Result so far: 9561.0
If we take 603 away from 1077, we end up with 474.
Append the next digit (4) from the dividend to 474 and continue with: 4744 / 603

Going ahead to step 8:
The number 603 fits into 4744 7 times, leaving a remainder of 523.
The next digit of our result is 7. 
Result so far: 95617.0
Deduct 4221 from 4744 and we're left with 523.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5230, and continue the process.

On to step 9:
5230 divided by 603 is 8 with a remainder of 406.
The next digit of our result is 8. 
Result so far: 95617.8
If we take 4824 away from 5230, we end up with 406.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4060, and continue the process.

Going ahead to step 10:
603 can be fit into 4060 6 times, resulting in a remainder of 442.
The number 6 becomes the next digit in our result. 
Result so far: 95617.86
If we subtract 3618 from 4060, we get 442.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4420, and continue the process.

Advancing to step 11:
603 can be fit into 4420 7 times, resulting in a remainder of 199.
The next digit of our result is 7. 
Result so far: 95617.867
If we take 4221 away from 4420, we end up with 199.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1990, and continue the process.

Step 12:
1990 divided by 603 is 3 with a remainder of 181.
Record the quotient 3 as the next digit in the result. 
Result so far: 95617.8673
Deduct 1809 from 1990 and we're left 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.

Advancing to step 13:
603 goes into 1810 3 times with a remainder of 1.
Write down 3 as next digit of the result. 
Result so far: 95617.86733
Deduct 1809 from 1810 and we're left with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

The final result is 95617.86733 with a remainder of 1e-06.