We divide 415684 by 32
We want to divide 415684 by 32.

Advancing to step 1:
If we divide 4 by 32, we get 0 and a remainder of 4.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Append the next digit (1) from the dividend to 4 and continue with: 41 / 32

Let's proceed to step 2:
32 can be fit into 41 1 times, resulting in a remainder of 9.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
Subtract 32 from 41 to get 9.
Grab the next digit (5) from the dividend, add it to 9, then carry on: 95 / 32

Step 3:
95 divided by 32 is 2 with a remainder of 31.
Put 2 as the next digit of the answer. 
Result so far: 12.0
Deduct 64 from 95 and we're left with 31.
Fetch the next digit (6) from the dividend, attach it to 31 and continue: 316 / 32

Going ahead to step 4:
If we divide 316 by 32, we get 9 and a remainder of 28.
The number 9 becomes the next digit in our result. 
Result so far: 129.0
Subtracting 288 from 316 leaves us with 28.
Append the next digit (8) from the dividend to 28 and continue with: 288 / 32

Going ahead to step 5:
32 goes into 288 9 times with a remainder of 0.
The next digit of our result is 9. 
Result so far: 1299.0
Subtracting 288 from 288 leaves us with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 32

Step 6:
32 can be fit into 4 0 times, resulting in a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 12990.0
If we take 0 away from 4, 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 7:
If we divide 40 by 32, we get 1 and a remainder of 8.
The number 1 becomes the next digit in our result. 
Result so far: 12990.1
Deduct 32 from 40 and we're left 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.

Step 8:
32 can be fit into 80 2 times, resulting in a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 12990.12
The remainder is 16 after subtracting 64 from 80.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Advancing to step 9:
If we divide 160 by 32, we get 5 and a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 12990.125
Subtracting 160 from 160 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.

Let's proceed to step 10:
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: 12990.125
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.

Going ahead to step 11:
32 can be fit into 0 0 times, resulting in a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 12990.125
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 12990.125 with a balance of 0.0.