751 divided by 71 
We're looking to find how many times 71 goes into 751.

On to step 1:
When dividing 7 by 71, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 71

Step 2:
71 can be fit into 75 1 times, resulting in a remainder of 4.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 71 from 75, we get 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 71

Moving on to step 3:
71 can be fit into 41 0 times, resulting in a remainder of 41.
Write down 0 as next digit of the result. 
Result so far: 10.0
Subtract 0 from 41 to get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Step 4:
The number 71 fits into 410 5 times, leaving a remainder of 55.
Write down 5 as next digit of the result. 
Result so far: 10.5
If we subtract 355 from 410, we get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Step 5:
71 can be fit into 550 7 times, resulting in a remainder of 53.
Put 7 as the next digit of the answer. 
Result so far: 10.57
If we subtract 497 from 550, we get 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Moving on to step 6:
71 can be fit into 530 7 times, resulting in a remainder of 33.
Use 7 as the next digit of our solution. 
Result so far: 10.577
If we take 497 away from 530, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

The final outcome is 10.577, with a leftover of 0.0033.