We look at the division of 21188100 by 522 
Our goal is to divide 21188100 by 522.

Advancing to step 1:
2 divided by 522 is 0 with a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 2 after subtracting 0 from 2.
Take the next digit (1) from the dividend and append it to 2, then repeat: 21 / 522

Let's proceed to step 2:
If we divide 21 by 522, we get 0 and a remainder of 21.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 21, we get 21.
Fetch the next digit (1) from the dividend, attach it to 21 and continue: 211 / 522

Going ahead to step 3:
When dividing 211 by 522, we get 0 with a remainder of 211.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 211 after subtracting 0 from 211.
Include the next digit (8) from the dividend after 211, then repeat: 2118 / 522

Advancing to step 4:
If we divide 2118 by 522, we get 4 and a remainder of 30.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 30 after subtracting 2088 from 2118.
Append the next digit (8) from the dividend to 30 and continue with: 308 / 522

Let's proceed to step 5:
308 divided by 522 is 0 with a remainder of 308.
Record the quotient 0 as the next digit in the result. 
Result so far: 40.0
Deduct 0 from 308 and we're left with 308.
Include the next digit (1) from the dividend after 308, then repeat: 3081 / 522

On to step 6:
When dividing 3081 by 522, we get 5 with a remainder of 471.
Use 5 as the next digit of our solution. 
Result so far: 405.0
Deduct 2610 from 3081 and we're left with 471.
Include the next digit (0) from the dividend after 471, then repeat: 4710 / 522

Moving on to step 7:
522 can be fit into 4710 9 times, resulting in a remainder of 12.
The number 9 becomes the next digit in our result. 
Result so far: 4059.0
If we subtract 4698 from 4710, we get 12.
Bring next digit (0) of the dividend behind the 12 and repeat the process: 120 / 522

On to step 8:
522 goes into 120 0 times with a remainder of 120.
The number 0 becomes the next digit in our result. 
Result so far: 40590.0
The remainder is 120 after subtracting 0 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1200, and continue the process.

On to step 9:
1200 divided by 522 is 2 with a remainder of 156.
The number 2 becomes the next digit in our result. 
Result so far: 40590.2
The remainder is 156 after subtracting 1044 from 1200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1560, and continue the process.

Let's proceed to step 10:
522 goes into 1560 2 times with a remainder of 516.
Use 2 as the next digit of our solution. 
Result so far: 40590.22
Subtract 1044 from 1560 to get 516.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5160, and continue the process.

Our division results in 40590.22 with a remaining 0.516.