We look at the division of 413176 by 21 
Our goal is to divide 413176 by 21.

Let's proceed to step 1:
The number 21 fits into 4 0 times, leaving a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (1) from the dividend after 4, then repeat: 41 / 21

On to step 2:
When dividing 41 by 21, we get 1 with a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
If we take 21 away from 41, we end up with 20.
Fetch the next digit (3) from the dividend, attach it to 20 and continue: 203 / 21

On to step 3:
21 can be fit into 203 9 times, resulting in a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 19.0
Subtract 189 from 203 to get 14.
Take the next digit (1) from the dividend and append it to 14, then repeat: 141 / 21

Moving on to step 4:
21 goes into 141 6 times with a remainder of 15.
Write down 6 as next digit of the result. 
Result so far: 196.0
The remainder is 15 after subtracting 126 from 141.
Grab the next digit (7) from the dividend, add it to 15, then carry on: 157 / 21

Moving on to step 5:
21 goes into 157 7 times with a remainder of 10.
Use 7 as the next digit of our solution. 
Result so far: 1967.0
The remainder is 10 after subtracting 147 from 157.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 21

On to step 6:
21 can be fit into 106 5 times, resulting in a remainder of 1.
Use 5 as the next digit of our solution. 
Result so far: 19675.0
Deduct 105 from 106 and we're left 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.

Going ahead to step 7:
When dividing 10 by 21, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 19675.0
Subtract 0 from 10 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.

Moving on to step 8:
If we divide 100 by 21, we get 4 and a remainder of 16.
Write down 4 as next digit of the result. 
Result so far: 19675.04
If we take 84 away from 100, we end up 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.

Let's proceed to step 9:
When dividing 160 by 21, we get 7 with a remainder of 13.
The number 7 becomes the next digit in our result. 
Result so far: 19675.047
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 10:
21 goes into 130 6 times with a remainder of 4.
The number 6 becomes the next digit in our result. 
Result so far: 19675.0476
If we subtract 126 from 130, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 11:
The number 21 fits into 40 1 times, leaving a remainder of 19.
Write down 1 as next digit of the result. 
Result so far: 19675.04761
If we subtract 21 from 40, we 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.

Going ahead to step 12:
When dividing 190 by 21, we get 9 with a remainder of 1.
Record the quotient 9 as the next digit in the result. 
Result so far: 19675.047619
Subtract 189 from 190 to get 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Advancing to step 13:
When dividing 10 by 21, we get 0 with a remainder of 10.
The next digit of our result is 0. 
Result so far: 19675.047619
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.

Step 14:
If we divide 100 by 21, we get 4 and a remainder of 16.
The next digit of our result is 4. 
Result so far: 19675.04761904
If we take 84 away from 100, we end up 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.

The final outcome is 19675.04761904, with a leftover of 1.6e-08.