Let's divide 421810 by 75
We want to figure out the number of times 421810 can be divided by 75.

Moving on to step 1:
75 can be fit into 4 0 times, resulting in a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Take the next digit (2) from the dividend and append it to 4, then repeat: 42 / 75

Going ahead to step 2:
When dividing 42 by 75, we get 0 with a remainder of 42.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 42 after subtracting 0 from 42.
Fetch the next digit (1) from the dividend, attach it to 42 and continue: 421 / 75

Step 3:
If we divide 421 by 75, we get 5 and a remainder of 46.
The next digit of our result is 5. 
Result so far: 5.0
Subtracting 375 from 421 leaves us with 46.
Bring next digit (8) of the dividend behind the 46 and repeat the process: 468 / 75

On to step 4:
The number 75 fits into 468 6 times, leaving a remainder of 18.
Use 6 as the next digit of our solution. 
Result so far: 56.0
If we take 450 away from 468, we end up with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 75

Going ahead to step 5:
If we divide 181 by 75, we get 2 and a remainder of 31.
Use 2 as the next digit of our solution. 
Result so far: 562.0
If we subtract 150 from 181, we get 31.
Include the next digit (0) from the dividend after 31, then repeat: 310 / 75

Let's proceed to step 6:
When dividing 310 by 75, we get 4 with a remainder of 10.
Record the quotient 4 as the next digit in the result. 
Result so far: 5624.0
Subtracting 300 from 310 leaves us 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 can be fit into 100 1 times, resulting in a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 5624.1
The remainder is 25 after subtracting 75 from 100.
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 8:
The number 75 fits into 250 3 times, leaving a remainder of 25.
The next digit of our result is 3. 
Result so far: 5624.13
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.

Step 9:
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: 5624.133
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.

After the division, we end up with 5624.133 and a remainder of 0.0025.