We're dividing 635383 by 23 
We want to figure out the number of times 635383 can be divided by 23.

Moving on to step 1:
If we divide 6 by 23, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (3) from the dividend and append it to 6, then repeat: 63 / 23

Advancing to step 2:
23 can be fit into 63 2 times, resulting in a remainder of 17.
Record the quotient 2 as the next digit in the result. 
Result so far: 2.0
If we take 46 away from 63, we end up with 17.
Bring next digit (5) of the dividend behind the 17 and repeat the process: 175 / 23

Step 3:
If we divide 175 by 23, we get 7 and a remainder of 14.
Write down 7 as next digit of the result. 
Result so far: 27.0
Deduct 161 from 175 and we're left with 14.
Fetch the next digit (3) from the dividend, attach it to 14 and continue: 143 / 23

Step 4:
23 can be fit into 143 6 times, resulting in a remainder of 5.
Write down 6 as next digit of the result. 
Result so far: 276.0
If we take 138 away from 143, we end up with 5.
Take the next digit (8) from the dividend and append it to 5, then repeat: 58 / 23

On to step 5:
If we divide 58 by 23, we get 2 and a remainder of 12.
Write down 2 as next digit of the result. 
Result so far: 2762.0
If we subtract 46 from 58, we get 12.
Include the next digit (3) from the dividend after 12, then repeat: 123 / 23

Let's proceed to step 6:
If we divide 123 by 23, we get 5 and a remainder of 8.
Write down 5 as next digit of the result. 
Result so far: 27625.0
Subtracting 115 from 123 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.

Let's proceed to step 7:
23 can be fit into 80 3 times, resulting in a remainder of 11.
Write down 3 as next digit of the result. 
Result so far: 27625.3
If we take 69 away from 80, we end up 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.

Moving on to step 8:
23 goes into 110 4 times with a remainder of 18.
Put 4 as the next digit of the answer. 
Result so far: 27625.34
The remainder is 18 after subtracting 92 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Advancing to step 9:
If we divide 180 by 23, we get 7 and a remainder of 19.
Record the quotient 7 as the next digit in the result. 
Result so far: 27625.347
The remainder is 19 after subtracting 161 from 180.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

Step 10:
If we divide 190 by 23, we get 8 and a remainder of 6.
The number 8 becomes the next digit in our result. 
Result so far: 27625.3478
The remainder is 6 after subtracting 184 from 190.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 11:
23 can be fit into 60 2 times, resulting in a remainder of 14.
The number 2 becomes the next digit in our result. 
Result so far: 27625.34782
The remainder is 14 after subtracting 46 from 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

On to step 12:
23 goes into 140 6 times with a remainder of 2.
Put 6 as the next digit of the answer. 
Result so far: 27625.347826
Subtracting 138 from 140 leaves us 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.

Moving on to step 13:
When dividing 20 by 23, we get 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 27625.347826
Deduct 0 from 20 and we're left 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.

On to step 14:
200 divided by 23 is 8 with a remainder of 16.
Put 8 as the next digit of the answer. 
Result so far: 27625.34782608
The remainder is 16 after subtracting 184 from 200.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

After the division, we end up with 27625.34782608 and a remainder of 1.6e-08.