221410 ÷ 75 
We're looking to find how many times 75 goes into 221410.

Advancing to step 1:
2 divided by 75 is 0 with a remainder of 2.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (2) from the dividend to 2 and continue with: 22 / 75

Step 2:
22 divided by 75 is 0 with a remainder of 22.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 22 after subtracting 0 from 22.
Append the next digit (1) from the dividend to 22 and continue with: 221 / 75

Let's proceed to step 3:
The number 75 fits into 221 2 times, leaving a remainder of 71.
Write down 2 as next digit of the result. 
Result so far: 2.0
Subtracting 150 from 221 leaves us with 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 75

Moving on to step 4:
When dividing 714 by 75, we get 9 with a remainder of 39.
The next digit of our result is 9. 
Result so far: 29.0
If we subtract 675 from 714, we get 39.
Append the next digit (1) from the dividend to 39 and continue with: 391 / 75

Let's proceed to step 5:
391 divided by 75 is 5 with a remainder of 16.
Put 5 as the next digit of the answer. 
Result so far: 295.0
Subtract 375 from 391 to get 16.
Bring next digit (0) of the dividend behind the 16 and repeat the process: 160 / 75

Moving on to step 6:
The number 75 fits into 160 2 times, leaving a remainder of 10.
Put 2 as the next digit of the answer. 
Result so far: 2952.0
If we take 150 away from 160, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
75 goes into 100 1 times with a remainder of 25.
Use 1 as the next digit of our solution. 
Result so far: 2952.1
Subtracting 75 from 100 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.

Advancing to step 8:
75 can be fit into 250 3 times, resulting in a remainder of 25.
The next digit of our result is 3. 
Result so far: 2952.13
Deduct 225 from 250 and we're left 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.

Moving on to step 9:
250 divided by 75 is 3 with a remainder of 25.
Record the quotient 3 as the next digit in the result. 
Result so far: 2952.133
Deduct 225 from 250 and we're left 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.

The final result is 2952.133 with a remainder of 0.0025.