751589 ÷ 71 
Our goal is to divide 751589 by 71.

Going ahead to step 1:
7 divided by 71 is 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.
Grab the next digit (5) from the dividend, add it to 7, then carry on: 75 / 71

On to step 2:
75 divided by 71 is 1 with a remainder of 4.
The next digit of our result is 1. 
Result so far: 1.0
Subtract 71 from 75 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 71

Step 3:
If we divide 41 by 71, we get 0 and a remainder of 41.
The next digit of our result is 0. 
Result so far: 10.0
Subtracting 0 from 41 leaves us with 41.
Fetch the next digit (5) from the dividend, attach it to 41 and continue: 415 / 71

Going ahead to step 4:
The number 71 fits into 415 5 times, leaving a remainder of 60.
The number 5 becomes the next digit in our result. 
Result so far: 105.0
Subtracting 355 from 415 leaves us with 60.
Include the next digit (8) from the dividend after 60, then repeat: 608 / 71

On to step 5:
When dividing 608 by 71, we get 8 with a remainder of 40.
Write down 8 as next digit of the result. 
Result so far: 1058.0
Subtracting 568 from 608 leaves us with 40.
Append the next digit (9) from the dividend to 40 and continue with: 409 / 71

On to step 6:
71 goes into 409 5 times with a remainder of 54.
The number 5 becomes the next digit in our result. 
Result so far: 10585.0
Subtracting 355 from 409 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 7:
The number 71 fits into 540 7 times, leaving a remainder of 43.
The number 7 becomes the next digit in our result. 
Result so far: 10585.7
The remainder is 43 after subtracting 497 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 8:
If we divide 430 by 71, we get 6 and a remainder of 4.
Put 6 as the next digit of the answer. 
Result so far: 10585.76
Deduct 426 from 430 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 9:
The number 71 fits into 40 0 times, leaving a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 10585.76
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 10:
If we divide 400 by 71, we get 5 and a remainder of 45.
Write down 5 as next digit of the result. 
Result so far: 10585.7605
Subtracting 355 from 400 leaves us with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 11:
450 divided by 71 is 6 with a remainder of 24.
Write down 6 as next digit of the result. 
Result so far: 10585.76056
Subtracting 426 from 450 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 12:
If we divide 240 by 71, we get 3 and a remainder of 27.
Record the quotient 3 as the next digit in the result. 
Result so far: 10585.760563
Subtracting 213 from 240 leaves us with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Moving on to step 13:
If we divide 270 by 71, we get 3 and a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 10585.7605633
Deduct 213 from 270 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

The final outcome is 10585.7605633, with a leftover of 5.7e-07.