2527516 divided by 821 
We want to divide 2527516 by 821.

Let's proceed to step 1:
2 divided by 821 is 0 with a remainder of 2.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 2, we end up with 2.
Append the next digit (5) from the dividend to 2 and continue with: 25 / 821

Going ahead to step 2:
821 can be fit into 25 0 times, resulting in a remainder of 25.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 25 to get 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 821

Step 3:
When dividing 252 by 821, we get 0 with a remainder of 252.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 252 after subtracting 0 from 252.
Grab the next digit (7) from the dividend, add it to 252, then carry on: 2527 / 821

Let's proceed to step 4:
If we divide 2527 by 821, we get 3 and a remainder of 64.
Put 3 as the next digit of the answer. 
Result so far: 3.0
If we subtract 2463 from 2527, we get 64.
Grab the next digit (5) from the dividend, add it to 64, then carry on: 645 / 821

Advancing to step 5:
821 can be fit into 645 0 times, resulting in a remainder of 645.
Write down 0 as next digit of the result. 
Result so far: 30.0
Subtract 0 from 645 to get 645.
Grab the next digit (1) from the dividend, add it to 645, then carry on: 6451 / 821

Moving on to step 6:
When dividing 6451 by 821, we get 7 with a remainder of 704.
The next digit of our result is 7. 
Result so far: 307.0
If we subtract 5747 from 6451, we get 704.
Include the next digit (6) from the dividend after 704, then repeat: 7046 / 821

Advancing to step 7:
If we divide 7046 by 821, we get 8 and a remainder of 478.
Record the quotient 8 as the next digit in the result. 
Result so far: 3078.0
If we take 6568 away from 7046, we end up with 478.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4780, and continue the process.

Step 8:
4780 divided by 821 is 5 with a remainder of 675.
Put 5 as the next digit of the answer. 
Result so far: 3078.5
Deduct 4105 from 4780 and we're left with 675.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6750, and continue the process.

Let's proceed to step 9:
6750 divided by 821 is 8 with a remainder of 182.
Record the quotient 8 as the next digit in the result. 
Result so far: 3078.58
If we take 6568 away from 6750, we end up with 182.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1820, and continue the process.

Advancing to step 10:
If we divide 1820 by 821, we get 2 and a remainder of 178.
The number 2 becomes the next digit in our result. 
Result so far: 3078.582
If we subtract 1642 from 1820, we get 178.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1780, and continue the process.

Step 11:
1780 divided by 821 is 2 with a remainder of 138.
Use 2 as the next digit of our solution. 
Result so far: 3078.5822
Subtracting 1642 from 1780 leaves us with 138.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1380, and continue the process.

In conclusion, the division gives 3078.5822 with a balance of 0.00138.