We look at the division of 714466 by 75 
We want to divide 714466 by 75.

Going ahead to step 1:
The number 75 fits into 7 0 times, leaving a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 75

Advancing to step 2:
If we divide 71 by 75, we get 0 and a remainder of 71.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 71 to get 71.
Fetch the next digit (4) from the dividend, attach it to 71 and continue: 714 / 75

Advancing to step 3:
714 divided by 75 is 9 with a remainder of 39.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we subtract 675 from 714, we get 39.
Bring next digit (4) of the dividend behind the 39 and repeat the process: 394 / 75

Moving on to step 4:
The number 75 fits into 394 5 times, leaving a remainder of 19.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Subtract 375 from 394 to get 19.
Grab the next digit (6) from the dividend, add it to 19, then carry on: 196 / 75

Step 5:
196 divided by 75 is 2 with a remainder of 46.
Put 2 as the next digit of the answer. 
Result so far: 952.0
If we take 150 away from 196, we end up with 46.
Fetch the next digit (6) from the dividend, attach it to 46 and continue: 466 / 75

Let's proceed to step 6:
When dividing 466 by 75, we get 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 9526.0
If we subtract 450 from 466, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 7:
160 divided by 75 is 2 with a remainder of 10.
The next digit of our result is 2. 
Result so far: 9526.2
Deduct 150 from 160 and we're left 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.

On to step 8:
75 can be fit into 100 1 times, resulting in a remainder of 25.
The next digit of our result is 1. 
Result so far: 9526.21
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.

Step 9:
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: 9526.213
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.

Advancing to step 10:
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: 9526.2133
If we subtract 225 from 250, 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.

Our division results in 9526.2133 with a remaining 0.00025.