10598980 ÷ 821 
We want to figure out the number of times 10598980 can be divided by 821.

Going ahead to step 1:
When dividing 1 by 821, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Include the next digit (0) from the dividend after 1, then repeat: 10 / 821

Going ahead to step 2:
10 divided by 821 is 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Take the next digit (5) from the dividend and append it to 10, then repeat: 105 / 821

Let's proceed to step 3:
When dividing 105 by 821, we get 0 with a remainder of 105.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 105 leaves us with 105.
Include the next digit (9) from the dividend after 105, then repeat: 1059 / 821

Going ahead to step 4:
The number 821 fits into 1059 1 times, leaving a remainder of 238.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we take 821 away from 1059, we end up with 238.
Grab the next digit (8) from the dividend, add it to 238, then carry on: 2388 / 821

Going ahead to step 5:
821 can be fit into 2388 2 times, resulting in a remainder of 746.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
If we subtract 1642 from 2388, we get 746.
Include the next digit (9) from the dividend after 746, then repeat: 7469 / 821

Step 6:
821 can be fit into 7469 9 times, resulting in a remainder of 80.
The number 9 becomes the next digit in our result. 
Result so far: 129.0
The remainder is 80 after subtracting 7389 from 7469.
Append the next digit (8) from the dividend to 80 and continue with: 808 / 821

On to step 7:
If we divide 808 by 821, we get 0 and a remainder of 808.
The number 0 becomes the next digit in our result. 
Result so far: 1290.0
If we subtract 0 from 808, we get 808.
Bring next digit (0) of the dividend behind the 808 and repeat the process: 8080 / 821

Moving on to step 8:
When dividing 8080 by 821, we get 9 with a remainder of 691.
The next digit of our result is 9. 
Result so far: 12909.0
The remainder is 691 after subtracting 7389 from 8080.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6910, and continue the process.

Let's proceed to step 9:
When dividing 6910 by 821, we get 8 with a remainder of 342.
Write down 8 as next digit of the result. 
Result so far: 12909.8
The remainder is 342 after subtracting 6568 from 6910.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3420, and continue the process.

Step 10:
The number 821 fits into 3420 4 times, leaving a remainder of 136.
Use 4 as the next digit of our solution. 
Result so far: 12909.84
If we take 3284 away from 3420, 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 11:
1360 divided by 821 is 1 with a remainder of 539.
The number 1 becomes the next digit in our result. 
Result so far: 12909.841
Deduct 821 from 1360 and we're left with 539.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5390, and continue the process.

On to step 12:
821 goes into 5390 6 times with a remainder of 464.
Use 6 as the next digit of our solution. 
Result so far: 12909.8416
Subtract 4926 from 5390 to get 464.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4640, and continue the process.

Moving on to step 13:
4640 divided by 821 is 5 with a remainder of 535.
Write down 5 as next digit of the result. 
Result so far: 12909.84165
If we take 4105 away from 4640, we end up with 535.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5350, and continue the process.

On to step 14:
5350 divided by 821 is 6 with a remainder of 424.
Record the quotient 6 as the next digit in the result. 
Result so far: 12909.841656
Deduct 4926 from 5350 and we're left with 424.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4240, and continue the process.

Let's proceed to step 15:
If we divide 4240 by 821, we get 5 and a remainder of 135.
The next digit of our result is 5. 
Result so far: 12909.8416565
If we take 4105 away from 4240, we end up with 135.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1350, and continue the process.

Let's proceed to step 16:
821 can be fit into 1350 1 times, resulting in a remainder of 529.
Use 1 as the next digit of our solution. 
Result so far: 12909.84165651
Subtracting 821 from 1350 leaves us with 529.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5290, and continue the process.

The final outcome is 12909.84165651, with a leftover of 5.29e-07.