908605 ÷ 21 
Our goal is to divide 908605 by 21.

Advancing to step 1:
When dividing 9 by 21, we get 0 with a remainder of 9.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 9, we end up with 9.
Append the next digit (0) from the dividend to 9 and continue with: 90 / 21

Step 2:
21 goes into 90 4 times with a remainder of 6.
Put 4 as the next digit of the answer. 
Result so far: 4.0
The remainder is 6 after subtracting 84 from 90.
Include the next digit (8) from the dividend after 6, then repeat: 68 / 21

Going ahead to step 3:
When dividing 68 by 21, we get 3 with a remainder of 5.
Put 3 as the next digit of the answer. 
Result so far: 43.0
Subtract 63 from 68 to get 5.
Bring next digit (6) of the dividend behind the 5 and repeat the process: 56 / 21

Advancing to step 4:
56 divided by 21 is 2 with a remainder of 14.
Put 2 as the next digit of the answer. 
Result so far: 432.0
Subtracting 42 from 56 leaves us with 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 21

On to step 5:
21 goes into 140 6 times with a remainder of 14.
The next digit of our result is 6. 
Result so far: 4326.0
Subtract 126 from 140 to get 14.
Take the next digit (5) from the dividend and append it to 14, then repeat: 145 / 21

Let's proceed to step 6:
21 can be fit into 145 6 times, resulting in a remainder of 19.
The next digit of our result is 6. 
Result so far: 43266.0
Subtracting 126 from 145 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 7:
21 goes into 190 9 times with a remainder of 1.
Put 9 as the next digit of the answer. 
Result so far: 43266.9
Subtracting 189 from 190 leaves us with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 8:
21 can be fit into 10 0 times, resulting in a remainder of 10.
The number 0 becomes the next digit in our result. 
Result so far: 43266.9
Subtracting 0 from 10 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
21 can be fit into 100 4 times, resulting in a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 43266.904
Subtracting 84 from 100 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 10:
21 can be fit into 160 7 times, resulting in a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 43266.9047
If we subtract 147 from 160, we get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Advancing to step 11:
130 divided by 21 is 6 with a remainder of 4.
The next digit of our result is 6. 
Result so far: 43266.90476
The remainder is 4 after subtracting 126 from 130.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed to step 12:
The number 21 fits into 40 1 times, leaving a remainder of 19.
Put 1 as the next digit of the answer. 
Result so far: 43266.904761
Subtract 21 from 40 to get 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 13:
21 can be fit into 190 9 times, resulting in a remainder of 1.
Use 9 as the next digit of our solution. 
Result so far: 43266.9047619
The remainder is 1 after subtracting 189 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 14:
10 divided by 21 is 0 with a remainder of 10.
Put 0 as the next digit of the answer. 
Result so far: 43266.9047619
If we subtract 0 from 10, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

In conclusion, the division gives 43266.9047619 with a balance of 1e-08.