We look at the division of 829225 by 71 
We want to divide 829225 by 71.

On to step 1:
If we divide 8 by 71, we get 0 and a remainder of 8.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 8 after subtracting 0 from 8.
Bring next digit (2) of the dividend behind the 8 and repeat the process: 82 / 71

Moving on to step 2:
82 divided by 71 is 1 with a remainder of 11.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we take 71 away from 82, we end up with 11.
Bring next digit (9) of the dividend behind the 11 and repeat the process: 119 / 71

Let's proceed to step 3:
When dividing 119 by 71, we get 1 with a remainder of 48.
Put 1 as the next digit of the answer. 
Result so far: 11.0
If we take 71 away from 119, we end up with 48.
Fetch the next digit (2) from the dividend, attach it to 48 and continue: 482 / 71

Advancing to step 4:
The number 71 fits into 482 6 times, leaving a remainder of 56.
Use 6 as the next digit of our solution. 
Result so far: 116.0
If we take 426 away from 482, we end up with 56.
Fetch the next digit (2) from the dividend, attach it to 56 and continue: 562 / 71

Moving on to step 5:
71 goes into 562 7 times with a remainder of 65.
Write down 7 as next digit of the result. 
Result so far: 1167.0
The remainder is 65 after subtracting 497 from 562.
Fetch the next digit (5) from the dividend, attach it to 65 and continue: 655 / 71

Advancing to step 6:
If we divide 655 by 71, we get 9 and a remainder of 16.
The next digit of our result is 9. 
Result so far: 11679.0
Subtracting 639 from 655 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

On to step 7:
When dividing 160 by 71, we get 2 with a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 11679.2
Subtracting 142 from 160 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
When dividing 180 by 71, we get 2 with a remainder of 38.
Record the quotient 2 as the next digit in the result. 
Result so far: 11679.22
Subtract 142 from 180 to get 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The quotient of the division is 11679.22, and the remainder is 0.038.