We look at the division of 477974 by 21 
We want to figure out the number of times 477974 can be divided by 21.

On to step 1:
If we divide 4 by 21, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Append the next digit (7) from the dividend to 4 and continue with: 47 / 21

Moving on to step 2:
21 goes into 47 2 times with a remainder of 5.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 42 from 47 and we're left with 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 21

Moving on to step 3:
21 can be fit into 57 2 times, resulting in a remainder of 15.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtracting 42 from 57 leaves us with 15.
Include the next digit (9) from the dividend after 15, then repeat: 159 / 21

On to step 4:
159 divided by 21 is 7 with a remainder of 12.
The next digit of our result is 7. 
Result so far: 227.0
Subtract 147 from 159 to get 12.
Include the next digit (7) from the dividend after 12, then repeat: 127 / 21

On to step 5:
When dividing 127 by 21, we get 6 with a remainder of 1.
Write down 6 as next digit of the result. 
Result so far: 2276.0
Deduct 126 from 127 and we're left with 1.
Append the next digit (4) from the dividend to 1 and continue with: 14 / 21

Step 6:
The number 21 fits into 14 0 times, leaving a remainder of 14.
Write down 0 as next digit of the result. 
Result so far: 22760.0
If we subtract 0 from 14, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 7:
140 divided by 21 is 6 with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 22760.6
Deduct 126 from 140 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 8:
21 can be fit into 140 6 times, resulting in a remainder of 14.
The number 6 becomes the next digit in our result. 
Result so far: 22760.66
If we take 126 away from 140, we end up with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

The final result is 22760.66 with a remainder of 0.014.