We're dividing 1053093 by 821 
We're looking to find how many times 821 goes into 1053093.

On to step 1:
1 divided by 821 is 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 821

On to step 2:
When dividing 10 by 821, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Bring next digit (5) of the dividend behind the 10 and repeat the process: 105 / 821

Step 3:
When dividing 105 by 821, we get 0 with a remainder of 105.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 105 to get 105.
Fetch the next digit (3) from the dividend, attach it to 105 and continue: 1053 / 821

Moving on to step 4:
If we divide 1053 by 821, we get 1 and a remainder of 232.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 821 away from 1053, we end up with 232.
Include the next digit (0) from the dividend after 232, then repeat: 2320 / 821

Step 5:
2320 divided by 821 is 2 with a remainder of 678.
The number 2 becomes the next digit in our result. 
Result so far: 12.0
Deduct 1642 from 2320 and we're left with 678.
Bring next digit (9) of the dividend behind the 678 and repeat the process: 6789 / 821

Step 6:
821 can be fit into 6789 8 times, resulting in a remainder of 221.
Put 8 as the next digit of the answer. 
Result so far: 128.0
Deduct 6568 from 6789 and we're left with 221.
Take the next digit (3) from the dividend and append it to 221, then repeat: 2213 / 821

Going ahead to step 7:
2213 divided by 821 is 2 with a remainder of 571.
The next digit of our result is 2. 
Result so far: 1282.0
Deduct 1642 from 2213 and we're left with 571.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5710, and continue the process.

Advancing to step 8:
The number 821 fits into 5710 6 times, leaving a remainder of 784.
Use 6 as the next digit of our solution. 
Result so far: 1282.6
Deduct 4926 from 5710 and we're left with 784.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7840, and continue the process.

Let's proceed to step 9:
When dividing 7840 by 821, we get 9 with a remainder of 451.
Put 9 as the next digit of the answer. 
Result so far: 1282.69
Subtract 7389 from 7840 to get 451.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4510, and continue the process.

Step 10:
4510 divided by 821 is 5 with a remainder of 405.
Put 5 as the next digit of the answer. 
Result so far: 1282.695
The remainder is 405 after subtracting 4105 from 4510.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4050, and continue the process.

Going ahead to step 11:
If we divide 4050 by 821, we get 4 and a remainder of 766.
Record the quotient 4 as the next digit in the result. 
Result so far: 1282.6954
Deduct 3284 from 4050 and we're left with 766.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7660, and continue the process.

Moving on to step 12:
821 goes into 7660 9 times with a remainder of 271.
Record the quotient 9 as the next digit in the result. 
Result so far: 1282.69549
The remainder is 271 after subtracting 7389 from 7660.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2710, and continue the process.

On to step 13:
When dividing 2710 by 821, we get 3 with a remainder of 247.
The next digit of our result is 3. 
Result so far: 1282.695493
The remainder is 247 after subtracting 2463 from 2710.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2470, and continue the process.

Step 14:
When dividing 2470 by 821, we get 3 with a remainder of 7.
Use 3 as the next digit of our solution. 
Result so far: 1282.6954933
Subtract 2463 from 2470 to get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

The final outcome is 1282.6954933, with a leftover of 7e-08.