We're dividing 17721 by 75 
We want to divide 17721 by 75.

Going ahead to step 1:
75 goes into 1 0 times with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 75

Step 2:
75 can be fit into 17 0 times, resulting in a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Take the next digit (7) from the dividend and append it to 17, then repeat: 177 / 75

Going ahead to step 3:
The number 75 fits into 177 2 times, leaving a remainder of 27.
Write down 2 as next digit of the result. 
Result so far: 2.0
The remainder is 27 after subtracting 150 from 177.
Fetch the next digit (2) from the dividend, attach it to 27 and continue: 272 / 75

On to step 4:
75 goes into 272 3 times with a remainder of 47.
Put 3 as the next digit of the answer. 
Result so far: 23.0
The remainder is 47 after subtracting 225 from 272.
Bring next digit (1) of the dividend behind the 47 and repeat the process: 471 / 75

Let's proceed to step 5:
If we divide 471 by 75, we get 6 and a remainder of 21.
Use 6 as the next digit of our solution. 
Result so far: 236.0
Deduct 450 from 471 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 6:
If we divide 210 by 75, we get 2 and a remainder of 60.
Put 2 as the next digit of the answer. 
Result so far: 236.2
If we take 150 away from 210, we end up with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Moving on to step 7:
When dividing 600 by 75, we get 8 with a remainder of 0.
Write down 8 as next digit of the result. 
Result so far: 236.28
The remainder is 0 after subtracting 600 from 600.
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 8:
When dividing 0 by 75, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 236.28
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.

On to step 9:
When dividing 0 by 75, we get 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 236.28
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 quotient of the division is 236.28, and the remainder is 0.0.