We're dividing 5225024 by 603 
Our goal is to divide 5225024 by 603.

On to step 1:
The number 603 fits into 5 0 times, leaving a remainder of 5.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Take the next digit (2) from the dividend and append it to 5, then repeat: 52 / 603

On to step 2:
The number 603 fits into 52 0 times, leaving a remainder of 52.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 52, we end up with 52.
Include the next digit (2) from the dividend after 52, then repeat: 522 / 603

Going ahead to step 3:
603 can be fit into 522 0 times, resulting in a remainder of 522.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 522, we end up with 522.
Grab the next digit (5) from the dividend, add it to 522, then carry on: 5225 / 603

Advancing to step 4:
603 can be fit into 5225 8 times, resulting in a remainder of 401.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we subtract 4824 from 5225, we get 401.
Grab the next digit (0) from the dividend, add it to 401, then carry on: 4010 / 603

Going ahead to step 5:
If we divide 4010 by 603, we get 6 and a remainder of 392.
The next digit of our result is 6. 
Result so far: 86.0
The remainder is 392 after subtracting 3618 from 4010.
Take the next digit (2) from the dividend and append it to 392, then repeat: 3922 / 603

Moving on to step 6:
603 goes into 3922 6 times with a remainder of 304.
Put 6 as the next digit of the answer. 
Result so far: 866.0
If we take 3618 away from 3922, we end up with 304.
Take the next digit (4) from the dividend and append it to 304, then repeat: 3044 / 603

Let's proceed to step 7:
603 can be fit into 3044 5 times, resulting in a remainder of 29.
Write down 5 as next digit of the result. 
Result so far: 8665.0
If we take 3015 away from 3044, we end up with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Going ahead to step 8:
If we divide 290 by 603, we get 0 and a remainder of 290.
Write down 0 as next digit of the result. 
Result so far: 8665.0
Subtract 0 from 290 to get 290.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2900, and continue the process.

Step 9:
603 goes into 2900 4 times with a remainder of 488.
Put 4 as the next digit of the answer. 
Result so far: 8665.04
If we subtract 2412 from 2900, we get 488.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4880, and continue the process.

Going ahead to step 10:
4880 divided by 603 is 8 with a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8665.048
Subtracting 4824 from 4880 leaves us with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Going ahead to step 11:
603 goes into 560 0 times with a remainder of 560.
Put 0 as the next digit of the answer. 
Result so far: 8665.048
If we subtract 0 from 560, we get 560.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5600, and continue the process.

On to step 12:
The number 603 fits into 5600 9 times, leaving a remainder of 173.
Record the quotient 9 as the next digit in the result. 
Result so far: 8665.04809
If we take 5427 away from 5600, we end up with 173.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1730, and continue the process.

On to step 13:
The number 603 fits into 1730 2 times, leaving a remainder of 524.
Put 2 as the next digit of the answer. 
Result so far: 8665.048092
Deduct 1206 from 1730 and we're left with 524.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5240, and continue the process.

Let's proceed to step 14:
If we divide 5240 by 603, we get 8 and a remainder of 416.
Use 8 as the next digit of our solution. 
Result so far: 8665.0480928
If we subtract 4824 from 5240, we get 416.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4160, and continue the process.

On to step 15:
If we divide 4160 by 603, we get 6 and a remainder of 542.
The number 6 becomes the next digit in our result. 
Result so far: 8665.04809286
Deduct 3618 from 4160 and we're left with 542.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5420, and continue the process.

After the division, we end up with 8665.04809286 and a remainder of 5.42e-07.