We're dividing 763822 by 71 
Our goal is to divide 763822 by 71.

On to step 1:
If we divide 7 by 71, we get 0 and a remainder of 7.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Fetch the next digit (6) from the dividend, attach it to 7 and continue: 76 / 71

Advancing to step 2:
71 goes into 76 1 times with a remainder of 5.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
If we subtract 71 from 76, we get 5.
Include the next digit (3) from the dividend after 5, then repeat: 53 / 71

Step 3:
If we divide 53 by 71, we get 0 and a remainder of 53.
The number 0 becomes the next digit in our result. 
Result so far: 10.0
Deduct 0 from 53 and we're left with 53.
Bring next digit (8) of the dividend behind the 53 and repeat the process: 538 / 71

Moving on to step 4:
71 can be fit into 538 7 times, resulting in a remainder of 41.
Use 7 as the next digit of our solution. 
Result so far: 107.0
If we subtract 497 from 538, we get 41.
Bring next digit (2) of the dividend behind the 41 and repeat the process: 412 / 71

Advancing to step 5:
If we divide 412 by 71, we get 5 and a remainder of 57.
Record the quotient 5 as the next digit in the result. 
Result so far: 1075.0
If we take 355 away from 412, we end up with 57.
Take the next digit (2) from the dividend and append it to 57, then repeat: 572 / 71

Moving on to step 6:
The number 71 fits into 572 8 times, leaving a remainder of 4.
The number 8 becomes the next digit in our result. 
Result so far: 10758.0
If we subtract 568 from 572, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 7:
71 goes into 40 0 times with a remainder of 40.
Write down 0 as next digit of the result. 
Result so far: 10758.0
If we take 0 away from 40, we end up 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.

Going ahead to step 8:
71 can be fit into 400 5 times, resulting in a remainder of 45.
Record the quotient 5 as the next digit in the result. 
Result so far: 10758.05
The remainder is 45 after subtracting 355 from 400.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

On to step 9:
The number 71 fits into 450 6 times, leaving a remainder of 24.
Record the quotient 6 as the next digit in the result. 
Result so far: 10758.056
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.

Advancing to step 10:
If we divide 240 by 71, we get 3 and a remainder of 27.
Write down 3 as next digit of the result. 
Result so far: 10758.0563
If we take 213 away from 240, we end up 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.

Going ahead to step 11:
71 can be fit into 270 3 times, resulting in a remainder of 57.
Use 3 as the next digit of our solution. 
Result so far: 10758.05633
If we subtract 213 from 270, we get 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

After the division, we end up with 10758.05633 and a remainder of 5.7e-05.