51075 ÷ 71 
Our goal is to divide 51075 by 71.

Step 1:
71 goes into 5 0 times with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 5 to get 5.
Bring next digit (1) of the dividend behind the 5 and repeat the process: 51 / 71

Advancing to step 2:
71 goes into 51 0 times with a remainder of 51.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we subtract 0 from 51, we get 51.
Fetch the next digit (0) from the dividend, attach it to 51 and continue: 510 / 71

Moving on to step 3:
71 can be fit into 510 7 times, resulting in a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
If we subtract 497 from 510, we get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 71

Going ahead to step 4:
71 goes into 137 1 times with a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 71.0
Deduct 71 from 137 and we're left with 66.
Take the next digit (5) from the dividend and append it to 66, then repeat: 665 / 71

Going ahead to step 5:
665 divided by 71 is 9 with a remainder of 26.
The number 9 becomes the next digit in our result. 
Result so far: 719.0
Deduct 639 from 665 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 6:
71 goes into 260 3 times with a remainder of 47.
Use 3 as the next digit of our solution. 
Result so far: 719.3
If we subtract 213 from 260, we get 47.
Since there are no more digits in the dividend, we add a zero to the remainder making it 470, and continue the process.

Step 7:
When dividing 470 by 71, we get 6 with a remainder of 44.
The number 6 becomes the next digit in our result. 
Result so far: 719.36
The remainder is 44 after subtracting 426 from 470.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 8:
440 divided by 71 is 6 with a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 719.366
Deduct 426 from 440 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

After the division, we end up with 719.366 and a remainder of 0.0014.