Let's divide 977875 by 21
We want to divide 977875 by 21.

Going ahead to step 1:
9 divided by 21 is 0 with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 9 leaves us with 9.
Fetch the next digit (7) from the dividend, attach it to 9 and continue: 97 / 21

Let's proceed to step 2:
21 can be fit into 97 4 times, resulting in a remainder of 13.
The number 4 becomes the next digit in our result. 
Result so far: 4.0
If we take 84 away from 97, we end up with 13.
Include the next digit (7) from the dividend after 13, then repeat: 137 / 21

Moving on to step 3:
137 divided by 21 is 6 with a remainder of 11.
The next digit of our result is 6. 
Result so far: 46.0
Subtracting 126 from 137 leaves us with 11.
Fetch the next digit (8) from the dividend, attach it to 11 and continue: 118 / 21

Moving on to step 4:
21 can be fit into 118 5 times, resulting in a remainder of 13.
Record the quotient 5 as the next digit in the result. 
Result so far: 465.0
Subtract 105 from 118 to get 13.
Append the next digit (7) from the dividend to 13 and continue with: 137 / 21

Going ahead to step 5:
If we divide 137 by 21, we get 6 and a remainder of 11.
Use 6 as the next digit of our solution. 
Result so far: 4656.0
Deduct 126 from 137 and we're left with 11.
Take the next digit (5) from the dividend and append it to 11, then repeat: 115 / 21

On to step 6:
21 goes into 115 5 times with a remainder of 10.
Record the quotient 5 as the next digit in the result. 
Result so far: 46565.0
Subtract 105 from 115 to 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.

Let's proceed to step 7:
100 divided by 21 is 4 with a remainder of 16.
The next digit of our result is 4. 
Result so far: 46565.4
The remainder is 16 after subtracting 84 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 8:
21 goes into 160 7 times with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 46565.47
If we take 147 away from 160, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Moving on to step 9:
130 divided by 21 is 6 with a remainder of 4.
Record the quotient 6 as the next digit in the result. 
Result so far: 46565.476
Deduct 126 from 130 and we're left with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Moving on to step 10:
The number 21 fits into 40 1 times, leaving a remainder of 19.
The number 1 becomes the next digit in our result. 
Result so far: 46565.4761
The remainder is 19 after subtracting 21 from 40.
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 11:
21 goes into 190 9 times with a remainder of 1.
Write down 9 as next digit of the result. 
Result so far: 46565.47619
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.

On to step 12:
The number 21 fits into 10 0 times, leaving a remainder of 10.
The next digit of our result is 0. 
Result so far: 46565.47619
Deduct 0 from 10 and we're left 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 13:
100 divided by 21 is 4 with a remainder of 16.
Put 4 as the next digit of the answer. 
Result so far: 46565.4761904
Deduct 84 from 100 and we're left 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.

Moving on to step 14:
When dividing 160 by 21, we get 7 with a remainder of 13.
Write down 7 as next digit of the result. 
Result so far: 46565.47619047
Deduct 147 from 160 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

In conclusion, the division gives 46565.47619047 with a balance of 1.3e-08.