We're dividing 705010 by 75 
We're looking to find how many times 75 goes into 705010.

On to step 1:
When dividing 7 by 75, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (0) from the dividend and append it to 7, then repeat: 70 / 75

Step 2:
75 goes into 70 0 times with a remainder of 70.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 70 to get 70.
Bring next digit (5) of the dividend behind the 70 and repeat the process: 705 / 75

Moving on to step 3:
75 can be fit into 705 9 times, resulting in a remainder of 30.
Put 9 as the next digit of the answer. 
Result so far: 9.0
Subtracting 675 from 705 leaves us with 30.
Append the next digit (0) from the dividend to 30 and continue with: 300 / 75

On to step 4:
When dividing 300 by 75, we get 4 with a remainder of 0.
Put 4 as the next digit of the answer. 
Result so far: 94.0
If we subtract 300 from 300, we get 0.
Include the next digit (1) from the dividend after 0, then repeat: 1 / 75

Step 5:
75 goes into 1 0 times with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 940.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 75

Let's proceed to step 6:
If we divide 10 by 75, we get 0 and a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 9400.0
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 7:
The number 75 fits into 100 1 times, leaving a remainder of 25.
Put 1 as the next digit of the answer. 
Result so far: 9400.1
If we subtract 75 from 100, 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 8:
The number 75 fits into 250 3 times, leaving a remainder of 25.
Write down 3 as next digit of the result. 
Result so far: 9400.13
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.

Advancing to step 9:
When dividing 250 by 75, we get 3 with a remainder of 25.
The number 3 becomes the next digit in our result. 
Result so far: 9400.133
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 9400.133 and a remainder of 0.0025.