We're dividing 174564 by 32 
Let's see how many times 32 fits into 174564.

Step 1:
If we divide 1 by 32, we get 0 and a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 1 leaves us with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 32

On to step 2:
The number 32 fits into 17 0 times, leaving a remainder of 17.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Take the next digit (4) from the dividend and append it to 17, then repeat: 174 / 32

On to step 3:
When dividing 174 by 32, we get 5 with a remainder of 14.
Use 5 as the next digit of our solution. 
Result so far: 5.0
Deduct 160 from 174 and we're left with 14.
Fetch the next digit (5) from the dividend, attach it to 14 and continue: 145 / 32

Step 4:
When dividing 145 by 32, we get 4 with a remainder of 17.
Record the quotient 4 as the next digit in the result. 
Result so far: 54.0
If we take 128 away from 145, we end up with 17.
Take the next digit (6) from the dividend and append it to 17, then repeat: 176 / 32

On to step 5:
32 goes into 176 5 times with a remainder of 16.
Use 5 as the next digit of our solution. 
Result so far: 545.0
If we take 160 away from 176, we end up with 16.
Take the next digit (4) from the dividend and append it to 16, then repeat: 164 / 32

Moving on to step 6:
If we divide 164 by 32, we get 5 and a remainder of 4.
Record the quotient 5 as the next digit in the result. 
Result so far: 5455.0
If we subtract 160 from 164, we get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Let's proceed 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: 5455.1
Subtract 32 from 40 to 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.

Advancing to step 8:
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: 5455.12
If we subtract 64 from 80, we get 16.
Since there are no more digits in the dividend, we add a zero to the remainder making it 160, and continue the process.

Moving on to step 9:
32 goes into 160 5 times with a remainder of 0.
The number 5 becomes the next digit in our result. 
Result so far: 5455.125
Subtract 160 from 160 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 10:
When dividing 0 by 32, we get 0 with a remainder of 0.
Record the quotient 0 as the next digit in the result. 
Result so far: 5455.125
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.

Advancing to step 11:
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: 5455.125
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.

The quotient of the division is 5455.125, and the remainder is 0.0.