We're dividing 603933 by 44 
We're looking to find how many times 44 goes into 603933.

Moving on to step 1:
6 divided by 44 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Fetch the next digit (0) from the dividend, attach it to 6 and continue: 60 / 44

Step 2:
If we divide 60 by 44, we get 1 and a remainder of 16.
Write down 1 as next digit of the result. 
Result so far: 1.0
Subtracting 44 from 60 leaves us with 16.
Bring next digit (3) of the dividend behind the 16 and repeat the process: 163 / 44

Step 3:
44 can be fit into 163 3 times, resulting in a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 13.0
Deduct 132 from 163 and we're left with 31.
Include the next digit (9) from the dividend after 31, then repeat: 319 / 44

Advancing to step 4:
44 goes into 319 7 times with a remainder of 11.
Write down 7 as next digit of the result. 
Result so far: 137.0
The remainder is 11 after subtracting 308 from 319.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 44

On to step 5:
44 goes into 113 2 times with a remainder of 25.
The number 2 becomes the next digit in our result. 
Result so far: 1372.0
Subtract 88 from 113 to get 25.
Append the next digit (3) from the dividend to 25 and continue with: 253 / 44

Going ahead to step 6:
When dividing 253 by 44, we get 5 with a remainder of 33.
Record the quotient 5 as the next digit in the result. 
Result so far: 13725.0
If we subtract 220 from 253, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
If we divide 330 by 44, we get 7 and a remainder of 22.
The number 7 becomes the next digit in our result. 
Result so far: 13725.7
If we subtract 308 from 330, we get 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Going ahead to step 8:
220 divided by 44 is 5 with a remainder of 0.
The next digit of our result is 5. 
Result so far: 13725.75
If we subtract 220 from 220, we 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.

Advancing to step 9:
44 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 13725.75
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.

Going ahead to step 10:
44 goes into 0 0 times with a remainder of 0.
Write down 0 as next digit of the result. 
Result so far: 13725.75
Subtracting 0 from 0 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.

Our division results in 13725.75 with a remaining 0.0.