We look at the division of 421284 by 32 
Let's see how many times 32 fits into 421284.

Step 1:
32 can be fit into 4 0 times, resulting in a remainder of 4.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 4 after subtracting 0 from 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 32

Step 2:
32 can be fit into 42 1 times, resulting in a remainder of 10.
The next digit of our result is 1. 
Result so far: 1.0
If we take 32 away from 42, we end up with 10.
Grab the next digit (1) from the dividend, add it to 10, then carry on: 101 / 32

Let's proceed to step 3:
32 goes into 101 3 times with a remainder of 5.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
If we subtract 96 from 101, we get 5.
Fetch the next digit (2) from the dividend, attach it to 5 and continue: 52 / 32

Step 4:
If we divide 52 by 32, we get 1 and a remainder of 20.
The next digit of our result is 1. 
Result so far: 131.0
Deduct 32 from 52 and we're left with 20.
Include the next digit (8) from the dividend after 20, then repeat: 208 / 32

On to step 5:
32 goes into 208 6 times with a remainder of 16.
The next digit of our result is 6. 
Result so far: 1316.0
If we take 192 away from 208, we end up with 16.
Bring next digit (4) of the dividend behind the 16 and repeat the process: 164 / 32

Let's proceed to step 6:
32 goes into 164 5 times with a remainder of 4.
Put 5 as the next digit of the answer. 
Result so far: 13165.0
Subtract 160 from 164 to 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.

Step 7:
40 divided by 32 is 1 with a remainder of 8.
Use 1 as the next digit of our solution. 
Result so far: 13165.1
The remainder is 8 after subtracting 32 from 40.
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:
80 divided by 32 is 2 with a remainder of 16.
The number 2 becomes the next digit in our result. 
Result so far: 13165.12
Subtract 64 from 80 to 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.

Step 9:
The number 32 fits into 160 5 times, leaving a remainder of 0.
Write down 5 as next digit of the result. 
Result so far: 13165.125
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:
When dividing 0 by 32, we get 0 with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13165.125
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.

Let's proceed to step 11:
32 can be fit into 0 0 times, resulting in a remainder of 0.
The number 0 becomes the next digit in our result. 
Result so far: 13165.125
If we subtract 0 from 0, 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.

In conclusion, the division gives 13165.125 with a balance of 0.0.