We look at the division of 753866 by 75 
We want to figure out the number of times 753866 can be divided by 75.

Step 1:
7 divided by 75 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 7, we end up with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 75

Going ahead to step 2:
If we divide 75 by 75, we get 1 and a remainder of 0.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 75 from 75 to get 0.
Fetch the next digit (3) from the dividend, attach it to 0 and continue: 3 / 75

Let's proceed to step 3:
75 goes into 3 0 times with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 10.0
The remainder is 3 after subtracting 0 from 3.
Take the next digit (8) from the dividend and append it to 3, then repeat: 38 / 75

Let's proceed to step 4:
75 can be fit into 38 0 times, resulting in a remainder of 38.
Write down 0 as next digit of the result. 
Result so far: 100.0
Deduct 0 from 38 and we're left with 38.
Bring next digit (6) of the dividend behind the 38 and repeat the process: 386 / 75

On to step 5:
The number 75 fits into 386 5 times, leaving a remainder of 11.
Record the quotient 5 as the next digit in the result. 
Result so far: 1005.0
If we take 375 away from 386, we end up with 11.
Take the next digit (6) from the dividend and append it to 11, then repeat: 116 / 75

On to step 6:
If we divide 116 by 75, we get 1 and a remainder of 41.
Use 1 as the next digit of our solution. 
Result so far: 10051.0
Subtracting 75 from 116 leaves us with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Going ahead to step 7:
When dividing 410 by 75, we get 5 with a remainder of 35.
Write down 5 as next digit of the result. 
Result so far: 10051.5
If we take 375 away from 410, we end up with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Going ahead to step 8:
The number 75 fits into 350 4 times, leaving a remainder of 50.
Put 4 as the next digit of the answer. 
Result so far: 10051.54
The remainder is 50 after subtracting 300 from 350.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Going ahead to step 9:
75 can be fit into 500 6 times, resulting in a remainder of 50.
Put 6 as the next digit of the answer. 
Result so far: 10051.546
Subtracting 450 from 500 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 10:
75 goes into 500 6 times with a remainder of 50.
Write down 6 as next digit of the result. 
Result so far: 10051.5466
Subtracting 450 from 500 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.

The quotient of the division is 10051.5466, and the remainder is 0.0005.