We look at the division of 130626 by 21 
We're looking to find how many times 21 goes into 130626.

On to step 1:
21 can be fit into 1 0 times, resulting in a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 21

Going ahead to step 2:
If we divide 13 by 21, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Bring next digit (0) of the dividend behind the 13 and repeat the process: 130 / 21

On to step 3:
21 goes into 130 6 times with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 4 after subtracting 126 from 130.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 21

On to step 4:
When dividing 46 by 21, we get 2 with a remainder of 4.
Write down 2 as next digit of the result. 
Result so far: 62.0
Deduct 42 from 46 and we're left with 4.
Grab the next digit (2) from the dividend, add it to 4, then carry on: 42 / 21

Moving on to step 5:
42 divided by 21 is 2 with a remainder of 0.
Record the quotient 2 as the next digit in the result. 
Result so far: 622.0
The remainder is 0 after subtracting 42 from 42.
Take the next digit (6) from the dividend and append it to 0, then repeat: 6 / 21

Advancing to step 6:
If we divide 6 by 21, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 6220.0
Subtract 0 from 6 to get 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 7:
If we divide 60 by 21, we get 2 and a remainder of 18.
The next digit of our result is 2. 
Result so far: 6220.2
If we subtract 42 from 60, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 8:
When dividing 180 by 21, we get 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6220.28
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 9:
The number 21 fits into 120 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 6220.285
If we subtract 105 from 120, we get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 10:
21 goes into 150 7 times with a remainder of 3.
The next digit of our result is 7. 
Result so far: 6220.2857
The remainder is 3 after subtracting 147 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 11:
When dividing 30 by 21, we get 1 with a remainder of 9.
The next digit of our result is 1. 
Result so far: 6220.28571
Deduct 21 from 30 and we're left with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 12:
When dividing 90 by 21, we get 4 with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 6220.285714
Deduct 84 from 90 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Let's proceed to step 13:
21 goes into 60 2 times with a remainder of 18.
Record the quotient 2 as the next digit in the result. 
Result so far: 6220.2857142
If we take 42 away from 60, we end up with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Going ahead to step 14:
180 divided by 21 is 8 with a remainder of 12.
The number 8 becomes the next digit in our result. 
Result so far: 6220.28571428
If we take 168 away from 180, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The final result is 6220.28571428 with a remainder of 1.2e-08.