We look at the division of 99975410 by 603 
We're looking to find how many times 603 goes into 99975410.

Moving on to step 1:
603 goes into 9 0 times with a remainder of 9.
Write down 0 as next digit of 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 / 603

Moving on to step 2:
99 divided by 603 is 0 with a remainder of 99.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 99 to get 99.
Append the next digit (9) from the dividend to 99 and continue with: 999 / 603

Going ahead to step 3:
The number 603 fits into 999 1 times, leaving a remainder of 396.
The next digit of our result is 1. 
Result so far: 1.0
If we subtract 603 from 999, we get 396.
Include the next digit (7) from the dividend after 396, then repeat: 3967 / 603

Advancing to step 4:
The number 603 fits into 3967 6 times, leaving a remainder of 349.
Write down 6 as next digit of the result. 
Result so far: 16.0
Subtract 3618 from 3967 to get 349.
Fetch the next digit (5) from the dividend, attach it to 349 and continue: 3495 / 603

Advancing to step 5:
When dividing 3495 by 603, we get 5 with a remainder of 480.
The next digit of our result is 5. 
Result so far: 165.0
If we take 3015 away from 3495, we end up with 480.
Take the next digit (4) from the dividend and append it to 480, then repeat: 4804 / 603

Advancing to step 6:
4804 divided by 603 is 7 with a remainder of 583.
The number 7 becomes the next digit in our result. 
Result so far: 1657.0
If we subtract 4221 from 4804, we get 583.
Append the next digit (1) from the dividend to 583 and continue with: 5831 / 603

Advancing to step 7:
If we divide 5831 by 603, we get 9 and a remainder of 404.
Put 9 as the next digit of the answer. 
Result so far: 16579.0
If we subtract 5427 from 5831, we get 404.
Grab the next digit (0) from the dividend, add it to 404, then carry on: 4040 / 603

Moving on to step 8:
603 goes into 4040 6 times with a remainder of 422.
Use 6 as the next digit of our solution. 
Result so far: 165796.0
The remainder is 422 after subtracting 3618 from 4040.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4220, and continue the process.

On to step 9:
603 can be fit into 4220 6 times, resulting in a remainder of 602.
The number 6 becomes the next digit in our result. 
Result so far: 165796.6
Subtracting 3618 from 4220 leaves us with 602.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6020, and continue the process.

Moving on to step 10:
603 can be fit into 6020 9 times, resulting in a remainder of 593.
Put 9 as the next digit of the answer. 
Result so far: 165796.69
Deduct 5427 from 6020 and we're left with 593.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5930, and continue the process.

Advancing to step 11:
603 goes into 5930 9 times with a remainder of 503.
The next digit of our result is 9. 
Result so far: 165796.699
Subtracting 5427 from 5930 leaves us with 503.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5030, and continue the process.

The quotient of the division is 165796.699, and the remainder is 0.0503.