We're dividing 946564 by 32 
Our goal is to divide 946564 by 32.

Let's proceed to step 1:
If we divide 9 by 32, we get 0 and a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 9 to get 9.
Take the next digit (4) from the dividend and append it to 9, then repeat: 94 / 32

On to step 2:
The number 32 fits into 94 2 times, leaving a remainder of 30.
The next digit of our result is 2. 
Result so far: 2.0
Deduct 64 from 94 and we're left with 30.
Append the next digit (6) from the dividend to 30 and continue with: 306 / 32

Going ahead to step 3:
If we divide 306 by 32, we get 9 and a remainder of 18.
Use 9 as the next digit of our solution. 
Result so far: 29.0
The remainder is 18 after subtracting 288 from 306.
Append the next digit (5) from the dividend to 18 and continue with: 185 / 32

Going ahead to step 4:
185 divided by 32 is 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 295.0
If we take 160 away from 185, we end up with 25.
Bring next digit (6) of the dividend behind the 25 and repeat the process: 256 / 32

Advancing to step 5:
When dividing 256 by 32, we get 8 with a remainder of 0.
Use 8 as the next digit of our solution. 
Result so far: 2958.0
Deduct 256 from 256 and we're left with 0.
Take the next digit (4) from the dividend and append it to 0, then repeat: 4 / 32

Going ahead to step 6:
If we divide 4 by 32, we get 0 and a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 29580.0
Deduct 0 from 4 and we're left 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.

Moving on to step 7:
40 divided by 32 is 1 with a remainder of 8.
Record the quotient 1 as the next digit in the result. 
Result so far: 29580.1
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 8:
When dividing 80 by 32, we get 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 29580.12
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.

Going ahead to step 9:
32 goes into 160 5 times with a remainder of 0.
Put 5 as the next digit of the answer. 
Result so far: 29580.125
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 10:
The number 32 fits into 0 0 times, leaving a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 29580.125
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.

Step 11:
0 divided by 32 is 0 with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 29580.125
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.

After the division, we end up with 29580.125 and a remainder of 0.0.