416574 ÷ 21 
Our goal is to divide 416574 by 21.

Let's proceed to step 1:
21 can be fit into 4 0 times, resulting in a remainder of 4.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 4, we end up with 4.
Take the next digit (1) from the dividend and append it to 4, then repeat: 41 / 21

Moving on to step 2:
If we divide 41 by 21, we get 1 and a remainder of 20.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 20 after subtracting 21 from 41.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 21

On to step 3:
21 goes into 206 9 times with a remainder of 17.
Put 9 as the next digit of the answer. 
Result so far: 19.0
If we subtract 189 from 206, we get 17.
Append the next digit (5) from the dividend to 17 and continue with: 175 / 21

Advancing to step 4:
When dividing 175 by 21, we get 8 with a remainder of 7.
Use 8 as the next digit of our solution. 
Result so far: 198.0
If we subtract 168 from 175, we get 7.
Append the next digit (7) from the dividend to 7 and continue with: 77 / 21

On to step 5:
When dividing 77 by 21, we get 3 with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 1983.0
Deduct 63 from 77 and we're left with 14.
Fetch the next digit (4) from the dividend, attach it to 14 and continue: 144 / 21

Let's proceed to step 6:
If we divide 144 by 21, we get 6 and a remainder of 18.
The number 6 becomes the next digit in our result. 
Result so far: 19836.0
The remainder is 18 after subtracting 126 from 144.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 7:
When dividing 180 by 21, we get 8 with a remainder of 12.
The next digit of our result is 8. 
Result so far: 19836.8
Subtract 168 from 180 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Let's proceed to step 8:
When dividing 120 by 21, we get 5 with a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 19836.85
The remainder is 15 after subtracting 105 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Advancing to step 9:
When dividing 150 by 21, we get 7 with a remainder of 3.
The next digit of our result is 7. 
Result so far: 19836.857
The remainder is 3 after subtracting 147 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Step 10:
21 goes into 30 1 times with a remainder of 9.
Record the quotient 1 as the next digit in the result. 
Result so far: 19836.8571
If we take 21 away from 30, we end up with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Advancing to step 11:
21 can be fit into 90 4 times, resulting in a remainder of 6.
Record the quotient 4 as the next digit in the result. 
Result so far: 19836.85714
Subtracting 84 from 90 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Going ahead to step 12:
The number 21 fits into 60 2 times, leaving a remainder of 18.
The next digit of our result is 2. 
Result so far: 19836.857142
Subtracting 42 from 60 leaves us with 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

On to step 13:
If we divide 180 by 21, we get 8 and a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 19836.8571428
Subtracting 168 from 180 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 14:
The number 21 fits into 120 5 times, leaving a remainder of 15.
Record the quotient 5 as the next digit in the result. 
Result so far: 19836.85714285
Subtracting 105 from 120 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

The final outcome is 19836.85714285, with a leftover of 1.5e-08.