We look at the division of 21134330 by 511 
We want to divide 21134330 by 511.

On to step 1:
When dividing 2 by 511, we get 0 with a remainder of 2.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 2 to get 2.
Append the next digit (1) from the dividend to 2 and continue with: 21 / 511

Moving on to step 2:
If we divide 21 by 511, we get 0 and a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 21 to get 21.
Append the next digit (1) from the dividend to 21 and continue with: 211 / 511

Moving on to step 3:
211 divided by 511 is 0 with a remainder of 211.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 211 after subtracting 0 from 211.
Bring next digit (3) of the dividend behind the 211 and repeat the process: 2113 / 511

Going ahead to step 4:
511 goes into 2113 4 times with a remainder of 69.
Record the quotient 4 as the next digit in the result. 
Result so far: 4.0
Subtracting 2044 from 2113 leaves us with 69.
Take the next digit (4) from the dividend and append it to 69, then repeat: 694 / 511

Step 5:
The number 511 fits into 694 1 times, leaving a remainder of 183.
Put 1 as the next digit of the answer. 
Result so far: 41.0
The remainder is 183 after subtracting 511 from 694.
Grab the next digit (3) from the dividend, add it to 183, then carry on: 1833 / 511

On to step 6:
If we divide 1833 by 511, we get 3 and a remainder of 300.
Write down 3 as next digit of the result. 
Result so far: 413.0
Subtract 1533 from 1833 to get 300.
Take the next digit (3) from the dividend and append it to 300, then repeat: 3003 / 511

Advancing to step 7:
The number 511 fits into 3003 5 times, leaving a remainder of 448.
The number 5 becomes the next digit in our result. 
Result so far: 4135.0
Subtracting 2555 from 3003 leaves us with 448.
Include the next digit (0) from the dividend after 448, then repeat: 4480 / 511

Step 8:
511 can be fit into 4480 8 times, resulting in a remainder of 392.
The number 8 becomes the next digit in our result. 
Result so far: 41358.0
Subtract 4088 from 4480 to get 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Step 9:
511 goes into 3920 7 times with a remainder of 343.
Use 7 as the next digit of our solution. 
Result so far: 41358.7
If we take 3577 away from 3920, we end up with 343.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3430, and continue the process.

On to step 10:
511 goes into 3430 6 times with a remainder of 364.
Use 6 as the next digit of our solution. 
Result so far: 41358.76
Deduct 3066 from 3430 and we're left with 364.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3640, and continue the process.

Let's proceed to step 11:
3640 divided by 511 is 7 with a remainder of 63.
Put 7 as the next digit of the answer. 
Result so far: 41358.767
Deduct 3577 from 3640 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

On to step 12:
When dividing 630 by 511, we get 1 with a remainder of 119.
Put 1 as the next digit of the answer. 
Result so far: 41358.7671
If we subtract 511 from 630, we get 119.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1190, and continue the process.

Moving on to step 13:
511 can be fit into 1190 2 times, resulting in a remainder of 168.
Write down 2 as next digit of the result. 
Result so far: 41358.76712
The remainder is 168 after subtracting 1022 from 1190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1680, and continue the process.

Step 14:
511 goes into 1680 3 times with a remainder of 147.
Use 3 as the next digit of our solution. 
Result so far: 41358.767123
If we subtract 1533 from 1680, we get 147.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1470, and continue the process.

Going ahead to step 15:
When dividing 1470 by 511, we get 2 with a remainder of 448.
The number 2 becomes the next digit in our result. 
Result so far: 41358.7671232
If we subtract 1022 from 1470, we get 448.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4480, and continue the process.

Advancing to step 16:
When dividing 4480 by 511, we get 8 with a remainder of 392.
Record the quotient 8 as the next digit in the result. 
Result so far: 41358.76712328
The remainder is 392 after subtracting 4088 from 4480.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Our division results in 41358.76712328 with a remaining 3.92e-07.