We're dividing 751284 by 71 
We want to divide 751284 by 71.

On to step 1:
If we divide 7 by 71, we get 0 and a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 71

Advancing to step 2:
75 divided by 71 is 1 with a remainder of 4.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 71 away from 75, we end up with 4.
Fetch the next digit (1) from the dividend, attach it to 4 and continue: 41 / 71

Step 3:
When dividing 41 by 71, we get 0 with a remainder of 41.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Deduct 0 from 41 and we're left with 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 71

Step 4:
412 divided by 71 is 5 with a remainder of 57.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
If we take 355 away from 412, we end up with 57.
Append the next digit (8) from the dividend to 57 and continue with: 578 / 71

On to step 5:
The number 71 fits into 578 8 times, leaving a remainder of 10.
The next digit of our result is 8. 
Result so far: 1058.0
If we subtract 568 from 578, we get 10.
Take the next digit (4) from the dividend and append it to 10, then repeat: 104 / 71

Step 6:
If we divide 104 by 71, we get 1 and a remainder of 33.
The number 1 becomes the next digit in our result. 
Result so far: 10581.0
The remainder is 33 after subtracting 71 from 104.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 7:
71 goes into 330 4 times with a remainder of 46.
Use 4 as the next digit of our solution. 
Result so far: 10581.4
The remainder is 46 after subtracting 284 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 8:
When dividing 460 by 71, we get 6 with a remainder of 34.
Record the quotient 6 as the next digit in the result. 
Result so far: 10581.46
The remainder is 34 after subtracting 426 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Step 9:
71 can be fit into 340 4 times, resulting in a remainder of 56.
Use 4 as the next digit of our solution. 
Result so far: 10581.464
Subtract 284 from 340 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Step 10:
The number 71 fits into 560 7 times, leaving a remainder of 63.
The next digit of our result is 7. 
Result so far: 10581.4647
Subtracting 497 from 560 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 11:
630 divided by 71 is 8 with a remainder of 62.
Use 8 as the next digit of our solution. 
Result so far: 10581.46478
Deduct 568 from 630 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

On to step 12:
The number 71 fits into 620 8 times, leaving a remainder of 52.
Write down 8 as next digit of the result. 
Result so far: 10581.464788
If we subtract 568 from 620, we get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

The quotient of the division is 10581.464788, and the remainder is 5.2e-06.