We look at the division of 137108 by 23 
We want to divide 137108 by 23.

On to 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.
Take the next digit (3) from the dividend and append it to 1, then repeat: 13 / 23

Moving on to step 2:
If we divide 13 by 23, we get 0 and a remainder of 13.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 13 to get 13.
Fetch the next digit (7) from the dividend, attach it to 13 and continue: 137 / 23

Moving on to step 3:
23 can be fit into 137 5 times, resulting in a remainder of 22.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 115 from 137, we get 22.
Include the next digit (1) from the dividend after 22, then repeat: 221 / 23

Going ahead to step 4:
23 goes into 221 9 times with a remainder of 14.
Record the quotient 9 as the next digit in the result. 
Result so far: 59.0
If we subtract 207 from 221, we get 14.
Append the next digit (0) from the dividend to 14 and continue with: 140 / 23

Step 5:
When dividing 140 by 23, we get 6 with a remainder of 2.
The next digit of our result is 6. 
Result so far: 596.0
Subtract 138 from 140 to get 2.
Bring next digit (8) of the dividend behind the 2 and repeat the process: 28 / 23

Moving on to step 6:
When dividing 28 by 23, we get 1 with a remainder of 5.
The next digit of our result is 1. 
Result so far: 5961.0
Deduct 23 from 28 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.

Step 7:
23 goes into 50 2 times with a remainder of 4.
The next digit of our result is 2. 
Result so far: 5961.2
If we take 46 away from 50, we end up with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Advancing to step 8:
40 divided by 23 is 1 with a remainder of 17.
Use 1 as the next digit of our solution. 
Result so far: 5961.21
Deduct 23 from 40 and we're left 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 9:
23 can be fit into 170 7 times, resulting in a remainder of 9.
Record the quotient 7 as the next digit in the result. 
Result so far: 5961.217
The remainder is 9 after subtracting 161 from 170.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Going ahead to step 10:
The number 23 fits into 90 3 times, leaving a remainder of 21.
Write down 3 as next digit of the result. 
Result so far: 5961.2173
Subtracting 69 from 90 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Let's proceed to step 11:
When dividing 210 by 23, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 5961.21739
If we take 207 away from 210, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Let's proceed to step 12:
23 can be fit into 30 1 times, resulting in a remainder of 7.
The next digit of our result is 1. 
Result so far: 5961.217391
If we take 23 away from 30, we end up with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Let's proceed to step 13:
70 divided by 23 is 3 with a remainder of 1.
The next digit of our result is 3. 
Result so far: 5961.2173913
The remainder is 1 after subtracting 69 from 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

On to step 14:
23 can be fit into 10 0 times, resulting in a remainder of 10.
Write down 0 as next digit of the result. 
Result so far: 5961.2173913
Deduct 0 from 10 and we're left 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.

Our division results in 5961.2173913 with a remaining 1e-08.