Let's divide 3635 by 23
Let's see how many times 23 fits into 3635.

Advancing to step 1:
The number 23 fits into 3 0 times, leaving a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Bring next digit (6) of the dividend behind the 3 and repeat the process: 36 / 23

Let's proceed to step 2:
23 goes into 36 1 times with a remainder of 13.
Use 1 as the next digit of our solution. 
Result so far: 1.0
The remainder is 13 after subtracting 23 from 36.
Grab the next digit (3) from the dividend, add it to 13, then carry on: 133 / 23

On to step 3:
23 can be fit into 133 5 times, resulting in a remainder of 18.
Write down 5 as next digit of the result. 
Result so far: 15.0
If we subtract 115 from 133, we get 18.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 23

Let's proceed to step 4:
185 divided by 23 is 8 with a remainder of 1.
Use 8 as the next digit of our solution. 
Result so far: 158.0
If we take 184 away from 185, we end up 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 5:
23 goes into 10 0 times with a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 158.0
If we take 0 away from 10, we end up 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.

Going ahead to step 6:
If we divide 100 by 23, we get 4 and a remainder of 8.
Use 4 as the next digit of our solution. 
Result so far: 158.04
If we subtract 92 from 100, we get 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.
The number 3 becomes the next digit in our result. 
Result so far: 158.043
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 can be fit into 110 4 times, resulting in a remainder of 18.
The next digit of our result is 4. 
Result so far: 158.0434
If we subtract 92 from 110, we get 18.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 9:
The number 23 fits into 180 7 times, leaving a remainder of 19.
Use 7 as the next digit of our solution. 
Result so far: 158.04347
Subtracting 161 from 180 leaves us with 19.
Since there are no more digits in the dividend, we add a zero to the remainder making it 190, and continue the process.

On to step 10:
When dividing 190 by 23, we get 8 with a remainder of 6.
Put 8 as the next digit of the answer. 
Result so far: 158.043478
Subtracting 184 from 190 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.

On to step 11:
The number 23 fits into 60 2 times, leaving a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 158.0434782
Deduct 46 from 60 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 12:
140 divided by 23 is 6 with a remainder of 2.
Use 6 as the next digit of our solution. 
Result so far: 158.04347826
Subtract 138 from 140 to 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.

The final result is 158.04347826 with a remainder of 2e-09.