We look at the division of 78641675 by 821 
Our goal is to divide 78641675 by 821.

Moving on to step 1:
If we divide 7 by 821, we get 0 and a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Take the next digit (8) from the dividend and append it to 7, then repeat: 78 / 821

Let's proceed to step 2:
821 can be fit into 78 0 times, resulting in a remainder of 78.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 78 leaves us with 78.
Take the next digit (6) from the dividend and append it to 78, then repeat: 786 / 821

Advancing to step 3:
The number 821 fits into 786 0 times, leaving a remainder of 786.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 786 and we're left with 786.
Bring next digit (4) of the dividend behind the 786 and repeat the process: 7864 / 821

Going ahead to step 4:
821 can be fit into 7864 9 times, resulting in a remainder of 475.
Write down 9 as next digit of the result. 
Result so far: 9.0
Subtracting 7389 from 7864 leaves us with 475.
Take the next digit (1) from the dividend and append it to 475, then repeat: 4751 / 821

Step 5:
When dividing 4751 by 821, we get 5 with a remainder of 646.
Record the quotient 5 as the next digit in the result. 
Result so far: 95.0
Subtract 4105 from 4751 to get 646.
Take the next digit (6) from the dividend and append it to 646, then repeat: 6466 / 821

Let's proceed to step 6:
If we divide 6466 by 821, we get 7 and a remainder of 719.
Use 7 as the next digit of our solution. 
Result so far: 957.0
The remainder is 719 after subtracting 5747 from 6466.
Bring next digit (7) of the dividend behind the 719 and repeat the process: 7197 / 821

Step 7:
The number 821 fits into 7197 8 times, leaving a remainder of 629.
The number 8 becomes the next digit in our result. 
Result so far: 9578.0
Deduct 6568 from 7197 and we're left with 629.
Take the next digit (5) from the dividend and append it to 629, then repeat: 6295 / 821

Step 8:
If we divide 6295 by 821, we get 7 and a remainder of 548.
Record the quotient 7 as the next digit in the result. 
Result so far: 95787.0
If we take 5747 away from 6295, 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.

On to step 9:
5480 divided by 821 is 6 with a remainder of 554.
Record the quotient 6 as the next digit in the result. 
Result so far: 95787.6
Deduct 4926 from 5480 and we're left with 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

Moving on to step 10:
When dividing 5540 by 821, we get 6 with a remainder of 614.
Use 6 as the next digit of our solution. 
Result so far: 95787.66
Subtract 4926 from 5540 to get 614.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6140, and continue the process.

The final outcome is 95787.66, with a leftover of 0.614.