418175 ÷ 21 
We want to figure out the number of times 418175 can be divided by 21.

Step 1:
21 goes into 4 0 times with a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 21

Let's proceed to step 2:
When dividing 41 by 21, we get 1 with a remainder of 20.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 21 from 41 leaves us with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 21

Advancing to step 3:
The number 21 fits into 208 9 times, leaving a remainder of 19.
The next digit of our result is 9. 
Result so far: 19.0
Subtract 189 from 208 to get 19.
Include the next digit (1) from the dividend after 19, then repeat: 191 / 21

Let's proceed to step 4:
21 goes into 191 9 times with a remainder of 2.
Put 9 as the next digit of the answer. 
Result so far: 199.0
If we take 189 away from 191, we end up with 2.
Take the next digit (7) from the dividend and append it to 2, then repeat: 27 / 21

Let's proceed to step 5:
The number 21 fits into 27 1 times, leaving a remainder of 6.
The number 1 becomes the next digit in our result. 
Result so far: 1991.0
The remainder is 6 after subtracting 21 from 27.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 21

Step 6:
When dividing 65 by 21, we get 3 with a remainder of 2.
Record the quotient 3 as the next digit in the result. 
Result so far: 19913.0
The remainder is 2 after subtracting 63 from 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 7:
21 can be fit into 20 0 times, resulting in a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 19913.0
Subtracting 0 from 20 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 8:
21 goes into 200 9 times with a remainder of 11.
Use 9 as the next digit of our solution. 
Result so far: 19913.09
Deduct 189 from 200 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Advancing to step 9:
When dividing 110 by 21, we get 5 with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 19913.095
Subtract 105 from 110 to get 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

On to step 10:
The number 21 fits into 50 2 times, leaving a remainder of 8.
Use 2 as the next digit of our solution. 
Result so far: 19913.0952
The remainder is 8 after subtracting 42 from 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Let's proceed to step 11:
If we divide 80 by 21, we get 3 and a remainder of 17.
The number 3 becomes the next digit in our result. 
Result so far: 19913.09523
If we take 63 away from 80, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Advancing to step 12:
If we divide 170 by 21, we get 8 and a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 19913.095238
Deduct 168 from 170 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Going ahead to step 13:
21 goes into 20 0 times with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 19913.095238
The remainder is 20 after subtracting 0 from 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 14:
When dividing 200 by 21, we get 9 with a remainder of 11.
The next digit of our result is 9. 
Result so far: 19913.09523809
Subtract 189 from 200 to get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 19913.09523809 and a remainder of 1.1e-08.