115642 ÷ 32 
We're looking to find how many times 32 goes into 115642.

Advancing to step 1:
If we divide 1 by 32, we get 0 and a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 32

On to step 2:
32 can be fit into 11 0 times, resulting in a remainder of 11.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 11 to get 11.
Fetch the next digit (5) from the dividend, attach it to 11 and continue: 115 / 32

Advancing to step 3:
The number 32 fits into 115 3 times, leaving a remainder of 19.
The next digit of our result is 3. 
Result so far: 3.0
Subtract 96 from 115 to get 19.
Include the next digit (6) from the dividend after 19, then repeat: 196 / 32

Moving on to step 4:
The number 32 fits into 196 6 times, leaving a remainder of 4.
Use 6 as the next digit of our solution. 
Result so far: 36.0
If we take 192 away from 196, we end up with 4.
Include the next digit (4) from the dividend after 4, then repeat: 44 / 32

Let's proceed to step 5:
When dividing 44 by 32, we get 1 with a remainder of 12.
The next digit of our result is 1. 
Result so far: 361.0
Subtract 32 from 44 to get 12.
Include the next digit (2) from the dividend after 12, then repeat: 122 / 32

On to step 6:
When dividing 122 by 32, we get 3 with a remainder of 26.
Record the quotient 3 as the next digit in the result. 
Result so far: 3613.0
If we take 96 away from 122, we end up with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 7:
32 can be fit into 260 8 times, resulting in a remainder of 4.
Use 8 as the next digit of our solution. 
Result so far: 3613.8
The remainder is 4 after subtracting 256 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Step 8:
32 can be fit into 40 1 times, resulting in a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 3613.81
If we subtract 32 from 40, 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 9:
If we divide 80 by 32, we get 2 and a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 3613.812
Subtracting 64 from 80 leaves us with 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Step 10:
32 can be fit into 160 5 times, resulting in a remainder of 0.
Record the quotient 5 as the next digit in the result. 
Result so far: 3613.8125
Deduct 160 from 160 and we're left 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.

On to step 11:
32 goes into 0 0 times with a remainder of 0.
The next digit of our result is 0. 
Result so far: 3613.8125
Subtract 0 from 0 to 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.

Moving on to step 12:
The number 32 fits into 0 0 times, leaving a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 3613.8125
Deduct 0 from 0 and we're left 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 3613.8125 with a balance of 0.0.