We're dividing 493921 by 75 
We want to figure out the number of times 493921 can be divided by 75.

Moving on to step 1:
4 divided by 75 is 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 75

Step 2:
When dividing 49 by 75, we get 0 with a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 49 after subtracting 0 from 49.
Bring next digit (3) of the dividend behind the 49 and repeat the process: 493 / 75

Advancing to step 3:
75 can be fit into 493 6 times, resulting in a remainder of 43.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 450 from 493, we get 43.
Include the next digit (9) from the dividend after 43, then repeat: 439 / 75

Going ahead to step 4:
75 goes into 439 5 times with a remainder of 64.
The next digit of our result is 5. 
Result so far: 65.0
If we take 375 away from 439, we end up with 64.
Fetch the next digit (2) from the dividend, attach it to 64 and continue: 642 / 75

Step 5:
75 can be fit into 642 8 times, resulting in a remainder of 42.
Record the quotient 8 as the next digit in the result. 
Result so far: 658.0
If we take 600 away from 642, we end up with 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 75

Advancing to step 6:
75 can be fit into 421 5 times, resulting in a remainder of 46.
The next digit of our result is 5. 
Result so far: 6585.0
The remainder is 46 after subtracting 375 from 421.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Let's proceed to step 7:
When dividing 460 by 75, we get 6 with a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 6585.6
The remainder is 10 after subtracting 450 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
When dividing 100 by 75, we get 1 with a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 6585.61
If we subtract 75 from 100, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 9:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 6585.613
If we take 225 away from 250, we end up with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 10:
75 can be fit into 250 3 times, resulting in a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 6585.6133
Subtracting 225 from 250 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

In conclusion, the division gives 6585.6133 with a balance of 0.00025.