We look at the division of 825314 by 76 
Let's see how many times 76 fits into 825314.

Let's proceed to step 1:
If we divide 8 by 76, we get 0 and a remainder of 8.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 8, we end up with 8.
Take the next digit (2) from the dividend and append it to 8, then repeat: 82 / 76

Going ahead to step 2:
82 divided by 76 is 1 with a remainder of 6.
Write down 1 as next digit of the result. 
Result so far: 1.0
The remainder is 6 after subtracting 76 from 82.
Bring next digit (5) of the dividend behind the 6 and repeat the process: 65 / 76

Step 3:
65 divided by 76 is 0 with a remainder of 65.
Put 0 as the next digit of the answer. 
Result so far: 10.0
Subtracting 0 from 65 leaves us with 65.
Append the next digit (3) from the dividend to 65 and continue with: 653 / 76

Let's proceed to step 4:
If we divide 653 by 76, we get 8 and a remainder of 45.
Write down 8 as next digit of the result. 
Result so far: 108.0
If we take 608 away from 653, we end up with 45.
Append the next digit (1) from the dividend to 45 and continue with: 451 / 76

Step 5:
When dividing 451 by 76, we get 5 with a remainder of 71.
Put 5 as the next digit of the answer. 
Result so far: 1085.0
The remainder is 71 after subtracting 380 from 451.
Fetch the next digit (4) from the dividend, attach it to 71 and continue: 714 / 76

Moving on to step 6:
76 goes into 714 9 times with a remainder of 30.
The next digit of our result is 9. 
Result so far: 10859.0
If we take 684 away from 714, we end up with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Moving on to step 7:
76 goes into 300 3 times with a remainder of 72.
The number 3 becomes the next digit in our result. 
Result so far: 10859.3
If we subtract 228 from 300, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
720 divided by 76 is 9 with a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 10859.39
Subtracting 684 from 720 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Going ahead to step 9:
When dividing 360 by 76, we get 4 with a remainder of 56.
Record the quotient 4 as the next digit in the result. 
Result so far: 10859.394
If we take 304 away from 360, we end up with 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 10:
76 goes into 560 7 times with a remainder of 28.
The next digit of our result is 7. 
Result so far: 10859.3947
Deduct 532 from 560 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

On to step 11:
280 divided by 76 is 3 with a remainder of 52.
Use 3 as the next digit of our solution. 
Result so far: 10859.39473
The remainder is 52 after subtracting 228 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 12:
76 goes into 520 6 times with a remainder of 64.
The next digit of our result is 6. 
Result so far: 10859.394736
If we subtract 456 from 520, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 13:
If we divide 640 by 76, we get 8 and a remainder of 32.
Record the quotient 8 as the next digit in the result. 
Result so far: 10859.3947368
Deduct 608 from 640 and we're left with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 14:
76 goes into 320 4 times with a remainder of 16.
Use 4 as the next digit of our solution. 
Result so far: 10859.39473684
Subtract 304 from 320 to get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The final result is 10859.39473684 with a remainder of 1.6e-08.