We're dividing 498911 by 75 
We want to figure out the number of times 498911 can be divided by 75.

Going ahead to step 1:
When dividing 4 by 75, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Append the next digit (9) from the dividend to 4 and continue with: 49 / 75

Let's proceed to step 2:
49 divided by 75 is 0 with a remainder of 49.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 49 to get 49.
Append the next digit (8) from the dividend to 49 and continue with: 498 / 75

Advancing to step 3:
If we divide 498 by 75, we get 6 and a remainder of 48.
The next digit of our result is 6. 
Result so far: 6.0
Subtract 450 from 498 to get 48.
Include the next digit (9) from the dividend after 48, then repeat: 489 / 75

Let's proceed to step 4:
75 goes into 489 6 times with a remainder of 39.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
Subtracting 450 from 489 leaves us with 39.
Fetch the next digit (1) from the dividend, attach it to 39 and continue: 391 / 75

Advancing to step 5:
75 goes into 391 5 times with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 665.0
Deduct 375 from 391 and we're left with 16.
Bring next digit (1) of the dividend behind the 16 and repeat the process: 161 / 75

Moving on to step 6:
If we divide 161 by 75, we get 2 and a remainder of 11.
The next digit of our result is 2. 
Result so far: 6652.0
Deduct 150 from 161 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
If we divide 110 by 75, we get 1 and a remainder of 35.
Write down 1 as next digit of the result. 
Result so far: 6652.1
If we subtract 75 from 110, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Advancing to step 8:
The number 75 fits into 350 4 times, leaving a remainder of 50.
Use 4 as the next digit of our solution. 
Result so far: 6652.14
If we take 300 away from 350, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Let's proceed to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 6652.146
If we take 450 away from 500, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Step 10:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 6652.1466
Deduct 450 from 500 and we're left with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

The final result is 6652.1466 with a remainder of 0.0005.