We look at the division of 561905 by 75 
Our goal is to divide 561905 by 75.

Step 1:
If we divide 5 by 75, we get 0 and a remainder of 5.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 75

Let's proceed to step 2:
56 divided by 75 is 0 with a remainder of 56.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 56, we end up with 56.
Bring next digit (1) of the dividend behind the 56 and repeat the process: 561 / 75

Step 3:
75 goes into 561 7 times with a remainder of 36.
The next digit of our result is 7. 
Result so far: 7.0
Subtracting 525 from 561 leaves us with 36.
Take the next digit (9) from the dividend and append it to 36, then repeat: 369 / 75

Step 4:
The number 75 fits into 369 4 times, leaving a remainder of 69.
Record the quotient 4 as the next digit in the result. 
Result so far: 74.0
If we subtract 300 from 369, we get 69.
Take the next digit (0) from the dividend and append it to 69, then repeat: 690 / 75

Let's proceed to step 5:
If we divide 690 by 75, we get 9 and a remainder of 15.
The number 9 becomes the next digit in our result. 
Result so far: 749.0
Deduct 675 from 690 and we're left with 15.
Fetch the next digit (5) from the dividend, attach it to 15 and continue: 155 / 75

Moving on to step 6:
155 divided by 75 is 2 with a remainder of 5.
Write down 2 as next digit of the result. 
Result so far: 7492.0
Subtract 150 from 155 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 7:
If we divide 50 by 75, we get 0 and a remainder of 50.
The number 0 becomes the next digit in our result. 
Result so far: 7492.0
Deduct 0 from 50 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.

On to step 8:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Record the quotient 6 as the next digit in the result. 
Result so far: 7492.06
If we subtract 450 from 500, we get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 9:
If we divide 500 by 75, we get 6 and a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 7492.066
Subtract 450 from 500 to get 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 7492.066 with a remainder of 0.005.