We're dividing 10260100 by 824 
Our goal is to divide 10260100 by 824.

Advancing to step 1:
When dividing 1 by 824, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 824

Advancing to step 2:
When dividing 10 by 824, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (2) from the dividend to 10 and continue with: 102 / 824

Moving on to step 3:
The number 824 fits into 102 0 times, leaving a remainder of 102.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 102, we end up with 102.
Take the next digit (6) from the dividend and append it to 102, then repeat: 1026 / 824

On to step 4:
824 can be fit into 1026 1 times, resulting in a remainder of 202.
Put 1 as the next digit of the answer. 
Result so far: 1.0
If we take 824 away from 1026, we end up with 202.
Take the next digit (0) from the dividend and append it to 202, then repeat: 2020 / 824

Moving on to step 5:
824 goes into 2020 2 times with a remainder of 372.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
Deduct 1648 from 2020 and we're left with 372.
Grab the next digit (1) from the dividend, add it to 372, then carry on: 3721 / 824

Step 6:
When dividing 3721 by 824, we get 4 with a remainder of 425.
The number 4 becomes the next digit in our result. 
Result so far: 124.0
Subtract 3296 from 3721 to get 425.
Take the next digit (0) from the dividend and append it to 425, then repeat: 4250 / 824

On to step 7:
The number 824 fits into 4250 5 times, leaving a remainder of 130.
Put 5 as the next digit of the answer. 
Result so far: 1245.0
Subtracting 4120 from 4250 leaves us with 130.
Grab the next digit (0) from the dividend, add it to 130, then carry on: 1300 / 824

Moving on to step 8:
When dividing 1300 by 824, we get 1 with a remainder of 476.
Put 1 as the next digit of the answer. 
Result so far: 12451.0
Deduct 824 from 1300 and we're left with 476.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4760, and continue the process.

Let's proceed to step 9:
824 goes into 4760 5 times with a remainder of 640.
Use 5 as the next digit of our solution. 
Result so far: 12451.5
If we subtract 4120 from 4760, we get 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6400, and continue the process.

Going ahead to step 10:
If we divide 6400 by 824, we get 7 and a remainder of 632.
Put 7 as the next digit of the answer. 
Result so far: 12451.57
If we subtract 5768 from 6400, we get 632.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6320, and continue the process.

Moving on to step 11:
824 can be fit into 6320 7 times, resulting in a remainder of 552.
Record the quotient 7 as the next digit in the result. 
Result so far: 12451.577
If we take 5768 away from 6320, we end up with 552.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5520, and continue the process.

In conclusion, the division gives 12451.577 with a balance of 0.0552.