We look at the division of 6412138 by 812 
We want to divide 6412138 by 812.

Let's proceed to step 1:
The number 812 fits into 6 0 times, leaving a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 812

Moving on to step 2:
If we divide 64 by 812, we get 0 and a remainder of 64.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtracting 0 from 64 leaves us with 64.
Bring next digit (1) of the dividend behind the 64 and repeat the process: 641 / 812

Advancing to step 3:
812 goes into 641 0 times with a remainder of 641.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 641 and we're left with 641.
Append the next digit (2) from the dividend to 641 and continue with: 6412 / 812

Let's proceed to step 4:
The number 812 fits into 6412 7 times, leaving a remainder of 728.
Use 7 as the next digit of our solution. 
Result so far: 7.0
The remainder is 728 after subtracting 5684 from 6412.
Bring next digit (1) of the dividend behind the 728 and repeat the process: 7281 / 812

Step 5:
812 goes into 7281 8 times with a remainder of 785.
The next digit of our result is 8. 
Result so far: 78.0
Subtracting 6496 from 7281 leaves us with 785.
Fetch the next digit (3) from the dividend, attach it to 785 and continue: 7853 / 812

On to step 6:
812 can be fit into 7853 9 times, resulting in a remainder of 545.
The number 9 becomes the next digit in our result. 
Result so far: 789.0
If we take 7308 away from 7853, we end up with 545.
Bring next digit (8) of the dividend behind the 545 and repeat the process: 5458 / 812

On to step 7:
If we divide 5458 by 812, we get 6 and a remainder of 586.
The next digit of our result is 6. 
Result so far: 7896.0
Subtracting 4872 from 5458 leaves us with 586.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5860, and continue the process.

On to step 8:
5860 divided by 812 is 7 with a remainder of 176.
Use 7 as the next digit of our solution. 
Result so far: 7896.7
Deduct 5684 from 5860 and we're left with 176.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1760, and continue the process.

Advancing to step 9:
812 goes into 1760 2 times with a remainder of 136.
Put 2 as the next digit of the answer. 
Result so far: 7896.72
If we take 1624 away from 1760, we end up with 136.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1360, and continue the process.

Step 10:
812 can be fit into 1360 1 times, resulting in a remainder of 548.
The number 1 becomes the next digit in our result. 
Result so far: 7896.721
If we take 812 away from 1360, we end up with 548.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5480, and continue the process.

Going ahead to step 11:
812 goes into 5480 6 times with a remainder of 608.
Record the quotient 6 as the next digit in the result. 
Result so far: 7896.7216
Deduct 4872 from 5480 and we're left with 608.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6080, and continue the process.

Moving on to step 12:
The number 812 fits into 6080 7 times, leaving a remainder of 396.
Put 7 as the next digit of the answer. 
Result so far: 7896.72167
Deduct 5684 from 6080 and we're left with 396.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3960, and continue the process.

Advancing to step 13:
If we divide 3960 by 812, we get 4 and a remainder of 712.
The number 4 becomes the next digit in our result. 
Result so far: 7896.721674
If we subtract 3248 from 3960, we get 712.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7120, and continue the process.

Going ahead to step 14:
812 goes into 7120 8 times with a remainder of 624.
Use 8 as the next digit of our solution. 
Result so far: 7896.7216748
Subtract 6496 from 7120 to get 624.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6240, and continue the process.

Going ahead to step 15:
The number 812 fits into 6240 7 times, leaving a remainder of 556.
The next digit of our result is 7. 
Result so far: 7896.72167487
Subtracting 5684 from 6240 leaves us with 556.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5560, and continue the process.

The final outcome is 7896.72167487, with a leftover of 5.56e-07.