We're dividing 21508925 by 823 
Our goal is to divide 21508925 by 823.

Moving on to step 1:
When dividing 2 by 823, we get 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Fetch the next digit (1) from the dividend, attach it to 2 and continue: 21 / 823

Step 2:
When dividing 21 by 823, we get 0 with a remainder of 21.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Take the next digit (5) from the dividend and append it to 21, then repeat: 215 / 823

Advancing to step 3:
If we divide 215 by 823, we get 0 and a remainder of 215.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 215 and we're left with 215.
Grab the next digit (0) from the dividend, add it to 215, then carry on: 2150 / 823

Step 4:
The number 823 fits into 2150 2 times, leaving a remainder of 504.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 1646 from 2150 and we're left with 504.
Append the next digit (8) from the dividend to 504 and continue with: 5048 / 823

Let's proceed to step 5:
If we divide 5048 by 823, we get 6 and a remainder of 110.
The next digit of our result is 6. 
Result so far: 26.0
If we take 4938 away from 5048, we end up with 110.
Append the next digit (9) from the dividend to 110 and continue with: 1109 / 823

On to step 6:
1109 divided by 823 is 1 with a remainder of 286.
Write down 1 as next digit of the result. 
Result so far: 261.0
If we take 823 away from 1109, we end up with 286.
Grab the next digit (2) from the dividend, add it to 286, then carry on: 2862 / 823

Moving on to step 7:
2862 divided by 823 is 3 with a remainder of 393.
Write down 3 as next digit of the result. 
Result so far: 2613.0
The remainder is 393 after subtracting 2469 from 2862.
Grab the next digit (5) from the dividend, add it to 393, then carry on: 3935 / 823

Going ahead to step 8:
When dividing 3935 by 823, we get 4 with a remainder of 643.
Record the quotient 4 as the next digit in the result. 
Result so far: 26134.0
If we subtract 3292 from 3935, we get 643.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6430, and continue the process.

On to step 9:
If we divide 6430 by 823, we get 7 and a remainder of 669.
The number 7 becomes the next digit in our result. 
Result so far: 26134.7
If we take 5761 away from 6430, we end up with 669.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6690, and continue the process.

Let's proceed to step 10:
823 can be fit into 6690 8 times, resulting in a remainder of 106.
Record the quotient 8 as the next digit in the result. 
Result so far: 26134.78
If we take 6584 away from 6690, we end up with 106.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1060, and continue the process.

On to step 11:
1060 divided by 823 is 1 with a remainder of 237.
Record the quotient 1 as the next digit in the result. 
Result so far: 26134.781
The remainder is 237 after subtracting 823 from 1060.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2370, and continue the process.

Step 12:
823 can be fit into 2370 2 times, resulting in a remainder of 724.
The number 2 becomes the next digit in our result. 
Result so far: 26134.7812
Subtracting 1646 from 2370 leaves us with 724.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7240, and continue the process.

Advancing to step 13:
The number 823 fits into 7240 8 times, leaving a remainder of 656.
Put 8 as the next digit of the answer. 
Result so far: 26134.78128
Subtract 6584 from 7240 to get 656.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6560, and continue the process.

Let's proceed to step 14:
The number 823 fits into 6560 7 times, leaving a remainder of 799.
The next digit of our result is 7. 
Result so far: 26134.781287
Subtract 5761 from 6560 to get 799.
Since there are no more digits in the dividend, we add a zero to the remainder making it 7990, and continue the process.

Step 15:
If we divide 7990 by 823, we get 9 and a remainder of 583.
Write down 9 as next digit of the result. 
Result so far: 26134.7812879
If we take 7407 away from 7990, we end up with 583.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5830, and continue the process.

Moving on to step 16:
5830 divided by 823 is 7 with a remainder of 69.
Use 7 as the next digit of our solution. 
Result so far: 26134.78128797
Subtracting 5761 from 5830 leaves us with 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Our division results in 26134.78128797 with a remaining 6.9e-08.