953423 divided by 21 
We want to figure out the number of times 953423 can be divided by 21.

Step 1:
21 can be fit into 9 0 times, resulting in a remainder of 9.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 9 after subtracting 0 from 9.
Fetch the next digit (5) from the dividend, attach it to 9 and continue: 95 / 21

Moving on to step 2:
95 divided by 21 is 4 with a remainder of 11.
The next digit of our result is 4. 
Result so far: 4.0
Deduct 84 from 95 and we're left with 11.
Bring next digit (3) of the dividend behind the 11 and repeat the process: 113 / 21

Moving on to step 3:
113 divided by 21 is 5 with a remainder of 8.
Use 5 as the next digit of our solution. 
Result so far: 45.0
If we subtract 105 from 113, we get 8.
Take the next digit (4) from the dividend and append it to 8, then repeat: 84 / 21

Step 4:
21 can be fit into 84 4 times, resulting in a remainder of 0.
Record the quotient 4 as the next digit in the result. 
Result so far: 454.0
If we subtract 84 from 84, we get 0.
Append the next digit (2) from the dividend to 0 and continue with: 2 / 21

Advancing to step 5:
21 can be fit into 2 0 times, resulting in a remainder of 2.
Write down 0 as next digit of the result. 
Result so far: 4540.0
Subtract 0 from 2 to get 2.
Bring next digit (3) of the dividend behind the 2 and repeat the process: 23 / 21

Let's proceed to step 6:
23 divided by 21 is 1 with a remainder of 2.
The number 1 becomes the next digit in our result. 
Result so far: 45401.0
Deduct 21 from 23 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 7:
20 divided by 21 is 0 with a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 45401.0
Subtract 0 from 20 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
21 goes into 200 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 45401.09
Subtracting 189 from 200 leaves us 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.

Let's proceed to step 9:
When dividing 110 by 21, we get 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 45401.095
Deduct 105 from 110 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Let's proceed to step 10:
50 divided by 21 is 2 with a remainder of 8.
The number 2 becomes the next digit in our result. 
Result so far: 45401.0952
Subtracting 42 from 50 leaves us with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

On to step 11:
21 can be fit into 80 3 times, resulting in a remainder of 17.
The next digit of our result is 3. 
Result so far: 45401.09523
Subtract 63 from 80 to get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

Let's proceed to step 12:
The number 21 fits into 170 8 times, leaving a remainder of 2.
Record the quotient 8 as the next digit in the result. 
Result so far: 45401.095238
If we subtract 168 from 170, we get 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Let's proceed to step 13:
If we divide 20 by 21, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 45401.095238
If we take 0 away from 20, we end up 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.

Advancing to step 14:
200 divided by 21 is 9 with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 45401.09523809
If we subtract 189 from 200, we 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.

The final outcome is 45401.09523809, with a leftover of 1.1e-08.