Let's divide 753766 by 71
Our goal is to divide 753766 by 71.

On to step 1:
71 goes into 7 0 times with a remainder of 7.
Record the quotient 0 as the next digit in the result. 
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 / 71

Advancing to step 2:
71 can be fit into 75 1 times, resulting in a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we take 71 away from 75, we end up with 4.
Include the next digit (3) from the dividend after 4, then repeat: 43 / 71

Going ahead to step 3:
If we divide 43 by 71, we get 0 and a remainder of 43.
Put 0 as the next digit of the answer. 
Result so far: 10.0
If we take 0 away from 43, we end up with 43.
Bring next digit (7) of the dividend behind the 43 and repeat the process: 437 / 71

Let's proceed to step 4:
The number 71 fits into 437 6 times, leaving a remainder of 11.
The number 6 becomes the next digit in our result. 
Result so far: 106.0
If we subtract 426 from 437, we get 11.
Fetch the next digit (6) from the dividend, attach it to 11 and continue: 116 / 71

Moving on to step 5:
When dividing 116 by 71, we get 1 with a remainder of 45.
Write down 1 as next digit of the result. 
Result so far: 1061.0
Deduct 71 from 116 and we're left with 45.
Include the next digit (6) from the dividend after 45, then repeat: 456 / 71

Let's proceed to step 6:
71 can be fit into 456 6 times, resulting in a remainder of 30.
Use 6 as the next digit of our solution. 
Result so far: 10616.0
If we take 426 away from 456, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 7:
71 goes into 300 4 times with a remainder of 16.
Record the quotient 4 as the next digit in the result. 
Result so far: 10616.4
If we subtract 284 from 300, 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 8:
When dividing 160 by 71, we get 2 with a remainder of 18.
The number 2 becomes the next digit in our result. 
Result so far: 10616.42
If we take 142 away from 160, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
71 goes into 180 2 times with a remainder of 38.
Use 2 as the next digit of our solution. 
Result so far: 10616.422
Subtracting 142 from 180 leaves us 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.

The final result is 10616.422 with a remainder of 0.0038.