We're dividing 421741 by 32 
We want to divide 421741 by 32.

Let's proceed to step 1:
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: 0.0
If we take 0 away from 4, we end up with 4.
Include the next digit (2) from the dividend after 4, then repeat: 42 / 32

Step 2:
When dividing 42 by 32, we get 1 with a remainder of 10.
Use 1 as the next digit of our solution. 
Result so far: 1.0
Subtract 32 from 42 to get 10.
Fetch the next digit (1) from the dividend, attach it to 10 and continue: 101 / 32

Moving on to step 3:
When dividing 101 by 32, we get 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 13.0
Subtract 96 from 101 to get 5.
Fetch the next digit (7) from the dividend, attach it to 5 and continue: 57 / 32

Moving on to step 4:
57 divided by 32 is 1 with a remainder of 25.
The number 1 becomes the next digit in our result. 
Result so far: 131.0
Subtracting 32 from 57 leaves us with 25.
Append the next digit (4) from the dividend to 25 and continue with: 254 / 32

Let's proceed to step 5:
32 can be fit into 254 7 times, resulting in a remainder of 30.
The number 7 becomes the next digit in our result. 
Result so far: 1317.0
Subtracting 224 from 254 leaves us with 30.
Fetch the next digit (1) from the dividend, attach it to 30 and continue: 301 / 32

Let's proceed to step 6:
32 goes into 301 9 times with a remainder of 13.
Record the quotient 9 as the next digit in the result. 
Result so far: 13179.0
If we take 288 away from 301, we end up with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Step 7:
When dividing 130 by 32, we get 4 with a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 13179.4
Deduct 128 from 130 and we're left with 2.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
The number 32 fits into 20 0 times, leaving a remainder of 20.
Record the quotient 0 as the next digit in the result. 
Result so far: 13179.4
Deduct 0 from 20 and we're left with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Moving on to step 9:
If we divide 200 by 32, we get 6 and a remainder of 8.
The next digit of our result is 6. 
Result so far: 13179.406
Subtract 192 from 200 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.

On to step 10:
80 divided by 32 is 2 with a remainder of 16.
Use 2 as the next digit of our solution. 
Result so far: 13179.4062
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.

Going ahead to step 11:
160 divided by 32 is 5 with a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 13179.40625
If we take 160 away from 160, we end up 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 12:
32 goes into 0 0 times with a remainder of 0.
Use 0 as the next digit of our solution. 
Result so far: 13179.40625
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.

Moving on to step 13:
32 goes into 0 0 times with a remainder of 0.
Put 0 as the next digit of the answer. 
Result so far: 13179.40625
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.

The quotient of the division is 13179.40625, and the remainder is 0.0.