135689 ÷ 2 
We're looking to find how many times 2 goes into 135689.

On to step 1:
The number 2 fits into 1 0 times, leaving a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Fetch the next digit (3) from the dividend, attach it to 1 and continue: 13 / 2

Step 2:
If we divide 13 by 2, we get 6 and a remainder of 1.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
The remainder is 1 after subtracting 12 from 13.
Include the next digit (5) from the dividend after 1, then repeat: 15 / 2

Let's proceed to step 3:
If we divide 15 by 2, we get 7 and a remainder of 1.
The number 7 becomes the next digit in our result. 
Result so far: 67.0
If we take 14 away from 15, we end up with 1.
Bring next digit (6) of the dividend behind the 1 and repeat the process: 16 / 2

On to step 4:
If we divide 16 by 2, we get 8 and a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 678.0
Deduct 16 from 16 and we're left with 0.
Bring next digit (8) of the dividend behind the 0 and repeat the process: 8 / 2

Step 5:
2 goes into 8 4 times with a remainder of 0.
Use 4 as the next digit of our solution. 
Result so far: 6784.0
Deduct 8 from 8 and we're left with 0.
Append the next digit (9) from the dividend to 0 and continue with: 9 / 2

Moving on to step 6:
If we divide 9 by 2, we get 4 and a remainder of 1.
Record the quotient 4 as the next digit in the result. 
Result so far: 67844.0
The remainder is 1 after subtracting 8 from 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Let's proceed to step 7:
10 divided by 2 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 67844.5
If we subtract 10 from 10, we get 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

Let's proceed to step 8:
2 goes into 0 0 times with a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 67844.5
The remainder is 0 after subtracting 0 from 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

On to step 9:
2 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 67844.5
Subtracting 0 from 0 leaves us with 0.
Since there are no more digits in the dividend, we add a zero to the remainder making it 0, and continue the process.

In conclusion, the division gives 67844.5 with a balance of 0.0.