We're dividing 103568 by 21 
We're looking to find how many times 21 goes into 103568.

Advancing to step 1:
When dividing 1 by 21, we get 0 with a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Take the next digit (0) from the dividend and append it to 1, then repeat: 10 / 21

Moving on to step 2:
21 can be fit into 10 0 times, resulting in a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 10 after subtracting 0 from 10.
Append the next digit (3) from the dividend to 10 and continue with: 103 / 21

Going ahead to step 3:
21 goes into 103 4 times with a remainder of 19.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
The remainder is 19 after subtracting 84 from 103.
Grab the next digit (5) from the dividend, add it to 19, then carry on: 195 / 21

Going ahead to step 4:
The number 21 fits into 195 9 times, leaving a remainder of 6.
Put 9 as the next digit of the answer. 
Result so far: 49.0
If we subtract 189 from 195, we get 6.
Append the next digit (6) from the dividend to 6 and continue with: 66 / 21

Going ahead to step 5:
21 can be fit into 66 3 times, resulting in a remainder of 3.
Record the quotient 3 as the next digit in the result. 
Result so far: 493.0
If we subtract 63 from 66, we get 3.
Append the next digit (8) from the dividend to 3 and continue with: 38 / 21

Going ahead to step 6:
If we divide 38 by 21, we get 1 and a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 4931.0
If we take 21 away from 38, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 7:
If we divide 170 by 21, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 4931.8
If we subtract 168 from 170, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 8:
If we divide 20 by 21, we get 0 and a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 4931.8
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
The number 21 fits into 200 9 times, leaving a remainder of 11.
The number 9 becomes the next digit in our result. 
Result so far: 4931.809
The remainder is 11 after subtracting 189 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
21 goes into 110 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 4931.8095
If we take 105 away from 110, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Moving on to step 11:
21 goes into 50 2 times with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 4931.80952
The remainder is 8 after subtracting 42 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 12:
80 divided by 21 is 3 with a remainder of 17.
Record the quotient 3 as the next digit in the result. 
Result so far: 4931.809523
The remainder is 17 after subtracting 63 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Going ahead to step 13:
When dividing 170 by 21, we get 8 with a remainder of 2.
The next digit of our result is 8. 
Result so far: 4931.8095238
Subtract 168 from 170 to get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

On to step 14:
21 can be fit into 20 0 times, resulting in a remainder of 20.
The number 0 becomes the next digit in our result. 
Result so far: 4931.8095238
If we take 0 away from 20, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

In conclusion, the division gives 4931.8095238 with a balance of 2e-08.