We're dividing 422213 by 75 
We want to figure out the number of times 422213 can be divided by 75.

Step 1:
The number 75 fits into 4 0 times, leaving a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (2) of the dividend behind the 4 and repeat the process: 42 / 75

Moving on to step 2:
42 divided by 75 is 0 with a remainder of 42.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 42, we get 42.
Fetch the next digit (2) from the dividend, attach it to 42 and continue: 422 / 75

Going ahead to step 3:
422 divided by 75 is 5 with a remainder of 47.
The next digit of our result is 5. 
Result so far: 5.0
If we subtract 375 from 422, we get 47.
Take the next digit (2) from the dividend and append it to 47, then repeat: 472 / 75

Going ahead to step 4:
When dividing 472 by 75, we get 6 with a remainder of 22.
The next digit of our result is 6. 
Result so far: 56.0
Subtract 450 from 472 to get 22.
Append the next digit (1) from the dividend to 22 and continue with: 221 / 75

Step 5:
75 goes into 221 2 times with a remainder of 71.
Put 2 as the next digit of the answer. 
Result so far: 562.0
Subtract 150 from 221 to get 71.
Include the next digit (3) from the dividend after 71, then repeat: 713 / 75

Let's proceed to step 6:
When dividing 713 by 75, we get 9 with a remainder of 38.
Use 9 as the next digit of our solution. 
Result so far: 5629.0
If we take 675 away from 713, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Step 7:
The number 75 fits into 380 5 times, leaving a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 5629.5
Subtract 375 from 380 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.

Step 8:
When dividing 50 by 75, we get 0 with a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 5629.5
Subtracting 0 from 50 leaves us 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 9:
500 divided by 75 is 6 with a remainder of 50.
Use 6 as the next digit of our solution. 
Result so far: 5629.506
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.

Let's proceed to step 10:
The number 75 fits into 500 6 times, leaving a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 5629.5066
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 quotient of the division is 5629.5066, and the remainder is 0.0005.