603373 ÷ 8 
Our goal is to divide 603373 by 8.

Going ahead to step 1:
If we divide 6 by 8, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Append the next digit (0) from the dividend to 6 and continue with: 60 / 8

Let's proceed to step 2:
If we divide 60 by 8, we get 7 and a remainder of 4.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 4 after subtracting 56 from 60.
Fetch the next digit (3) from the dividend, attach it to 4 and continue: 43 / 8

Moving on to step 3:
The number 8 fits into 43 5 times, leaving a remainder of 3.
The next digit of our result is 5. 
Result so far: 75.0
The remainder is 3 after subtracting 40 from 43.
Append the next digit (3) from the dividend to 3 and continue with: 33 / 8

Moving on to step 4:
33 divided by 8 is 4 with a remainder of 1.
Put 4 as the next digit of the answer. 
Result so far: 754.0
The remainder is 1 after subtracting 32 from 33.
Include the next digit (7) from the dividend after 1, then repeat: 17 / 8

Going ahead to step 5:
When dividing 17 by 8, we get 2 with a remainder of 1.
The next digit of our result is 2. 
Result so far: 7542.0
If we take 16 away from 17, we end up with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 8

Step 6:
When dividing 13 by 8, we get 1 with a remainder of 5.
Use 1 as the next digit of our solution. 
Result so far: 75421.0
The remainder is 5 after subtracting 8 from 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 7:
When dividing 50 by 8, we get 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 75421.6
If we take 48 away from 50, we end up with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Step 8:
The number 8 fits into 20 2 times, leaving a remainder of 4.
The number 2 becomes the next digit in our result. 
Result so far: 75421.62
Subtract 16 from 20 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 9:
8 goes into 40 5 times with a remainder of 0.
The next digit of our result is 5. 
Result so far: 75421.625
Subtracting 40 from 40 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Going ahead to step 10:
When dividing 0 by 8, we get 0 with a remainder of 0.
The next digit of our result is 0. 
Result so far: 75421.625
Subtract 0 from 0 to get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 11:
The number 8 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 75421.625
Deduct 0 from 0 and we're left with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

The final result is 75421.625 with a remainder of 0.0.