Let's divide 135662 by 23
We're looking to find how many times 23 goes into 135662.

Step 1:
If we divide 1 by 23, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (3) of the dividend behind the 1 and repeat the process: 13 / 23

Step 2:
When dividing 13 by 23, we get 0 with a remainder of 13.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 13 leaves us with 13.
Include the next digit (5) from the dividend after 13, then repeat: 135 / 23

Moving on to step 3:
If we divide 135 by 23, we get 5 and a remainder of 20.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtracting 115 from 135 leaves us with 20.
Fetch the next digit (6) from the dividend, attach it to 20 and continue: 206 / 23

Let's proceed to step 4:
The number 23 fits into 206 8 times, leaving a remainder of 22.
The number 8 becomes the next digit in our result. 
Result so far: 58.0
If we subtract 184 from 206, we get 22.
Grab the next digit (6) from the dividend, add it to 22, then carry on: 226 / 23

Moving on to step 5:
226 divided by 23 is 9 with a remainder of 19.
Put 9 as the next digit of the answer. 
Result so far: 589.0
If we subtract 207 from 226, we get 19.
Include the next digit (2) from the dividend after 19, then repeat: 192 / 23

Advancing to step 6:
192 divided by 23 is 8 with a remainder of 8.
Write down 8 as next digit of the result. 
Result so far: 5898.0
Subtracting 184 from 192 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.

Advancing 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: 5898.3
If we subtract 69 from 80, 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.

Moving on to step 8:
The number 23 fits into 110 4 times, leaving a remainder of 18.
The next digit of our result is 4. 
Result so far: 5898.34
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:
23 can be fit into 180 7 times, resulting in a remainder of 19.
Put 7 as the next digit of the answer. 
Result so far: 5898.347
Subtract 161 from 180 to get 19.
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.
Write down 8 as next digit of the result. 
Result so far: 5898.3478
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.

Let's proceed to step 11:
60 divided by 23 is 2 with a remainder of 14.
Use 2 as the next digit of our solution. 
Result so far: 5898.34782
Subtract 46 from 60 to get 14.
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:
When dividing 140 by 23, we get 6 with a remainder of 2.
The number 6 becomes the next digit in our result. 
Result so far: 5898.347826
Deduct 138 from 140 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.

On to step 13:
If we divide 20 by 23, we get 0 and a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 5898.347826
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:
When dividing 200 by 23, we get 8 with a remainder of 16.
Write down 8 as next digit of the result. 
Result so far: 5898.34782608
If we subtract 184 from 200, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

The quotient of the division is 5898.34782608, and the remainder is 1.6e-08.