613188 ÷ 21 
We want to figure out the number of times 613188 can be divided by 21.

On to step 1:
21 goes into 6 0 times with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 6 after subtracting 0 from 6.
Include the next digit (1) from the dividend after 6, then repeat: 61 / 21

Going ahead to step 2:
21 can be fit into 61 2 times, resulting in a remainder of 19.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Subtracting 42 from 61 leaves us with 19.
Include the next digit (3) from the dividend after 19, then repeat: 193 / 21

Going ahead to step 3:
If we divide 193 by 21, we get 9 and a remainder of 4.
Put 9 as the next digit of the answer. 
Result so far: 29.0
Subtracting 189 from 193 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 21

Going ahead to step 4:
If we divide 41 by 21, we get 1 and a remainder of 20.
Record the quotient 1 as the next digit in the result. 
Result so far: 291.0
Deduct 21 from 41 and we're left with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 21

Advancing to step 5:
When dividing 208 by 21, we get 9 with a remainder of 19.
The number 9 becomes the next digit in our result. 
Result so far: 2919.0
Subtracting 189 from 208 leaves us with 19.
Grab the next digit (8) from the dividend, add it to 19, then carry on: 198 / 21

On to step 6:
The number 21 fits into 198 9 times, leaving a remainder of 9.
Record the quotient 9 as the next digit in the result. 
Result so far: 29199.0
If we subtract 189 from 198, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Moving on to step 7:
21 goes into 90 4 times with a remainder of 6.
The number 4 becomes the next digit in our result. 
Result so far: 29199.4
Subtract 84 from 90 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 8:
21 can be fit into 60 2 times, resulting in a remainder of 18.
Use 2 as the next digit of our solution. 
Result so far: 29199.42
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 9:
If we divide 180 by 21, we get 8 and a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 29199.428
The remainder is 12 after subtracting 168 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Step 10:
When dividing 120 by 21, we get 5 with a remainder of 15.
The next digit of our result is 5. 
Result so far: 29199.4285
Deduct 105 from 120 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Step 11:
The number 21 fits into 150 7 times, leaving a remainder of 3.
Write down 7 as next digit of the result. 
Result so far: 29199.42857
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.

Advancing to step 12:
21 can be fit into 30 1 times, resulting in a remainder of 9.
Write down 1 as next digit of the result. 
Result so far: 29199.428571
If we subtract 21 from 30, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 13:
If we divide 90 by 21, we get 4 and a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 29199.4285714
Subtracting 84 from 90 leaves us 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.

On to step 14:
60 divided by 21 is 2 with a remainder of 18.
Put 2 as the next digit of the answer. 
Result so far: 29199.42857142
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.

The final result is 29199.42857142 with a remainder of 1.8e-08.