We're dividing 424384 by 75 
We want to figure out the number of times 424384 can be divided by 75.

Going ahead to step 1:
When dividing 4 by 75, we get 0 with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 4, we end up with 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
Deduct 0 from 42 and we're left with 42.
Append the next digit (4) from the dividend to 42 and continue with: 424 / 75

Moving on to step 3:
424 divided by 75 is 5 with a remainder of 49.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
If we take 375 away from 424, we end up with 49.
Include the next digit (3) from the dividend after 49, then repeat: 493 / 75

Going ahead to step 4:
When dividing 493 by 75, we get 6 with a remainder of 43.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
If we take 450 away from 493, we end up with 43.
Grab the next digit (8) from the dividend, add it to 43, then carry on: 438 / 75

Advancing to step 5:
75 goes into 438 5 times with a remainder of 63.
Write down 5 as next digit of the result. 
Result so far: 565.0
Subtracting 375 from 438 leaves us with 63.
Include the next digit (4) from the dividend after 63, then repeat: 634 / 75

On to step 6:
When dividing 634 by 75, we get 8 with a remainder of 34.
The number 8 becomes the next digit in our result. 
Result so far: 5658.0
The remainder is 34 after subtracting 600 from 634.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 7:
75 goes into 340 4 times with a remainder of 40.
The number 4 becomes the next digit in our result. 
Result so far: 5658.4
Subtract 300 from 340 to get 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
If we divide 400 by 75, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 5658.45
If we subtract 375 from 400, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The next digit of our result is 3. 
Result so far: 5658.453
The remainder is 25 after subtracting 225 from 250.
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 10:
75 goes into 250 3 times with a remainder of 25.
Put 3 as the next digit of the answer. 
Result so far: 5658.4533
Subtract 225 from 250 to get 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 quotient of the division is 5658.4533, and the remainder is 0.00025.