421419 ÷ 32 
Our goal is to divide 421419 by 32.

Moving on to step 1:
If we divide 4 by 32, we get 0 and a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 4 and we're left with 4.
Fetch the next digit (2) from the dividend, attach it to 4 and continue: 42 / 32

Advancing to step 2:
The number 32 fits into 42 1 times, leaving a remainder of 10.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtracting 32 from 42 leaves us with 10.
Include the next digit (1) from the dividend after 10, then repeat: 101 / 32

Step 3:
101 divided by 32 is 3 with a remainder of 5.
The next digit of our result is 3. 
Result so far: 13.0
If we take 96 away from 101, we end up with 5.
Grab the next digit (4) from the dividend, add it to 5, then carry on: 54 / 32

Going ahead to step 4:
32 goes into 54 1 times with a remainder of 22.
Use 1 as the next digit of our solution. 
Result so far: 131.0
Deduct 32 from 54 and we're left with 22.
Fetch the next digit (1) from the dividend, attach it to 22 and continue: 221 / 32

On to step 5:
221 divided by 32 is 6 with a remainder of 29.
The number 6 becomes the next digit in our result. 
Result so far: 1316.0
If we take 192 away from 221, we end up with 29.
Bring next digit (9) of the dividend behind the 29 and repeat the process: 299 / 32

Moving on to step 6:
32 goes into 299 9 times with a remainder of 11.
Record the quotient 9 as the next digit in the result. 
Result so far: 13169.0
If we subtract 288 from 299, we get 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

On to step 7:
32 goes into 110 3 times with a remainder of 14.
Record the quotient 3 as the next digit in the result. 
Result so far: 13169.3
Deduct 96 from 110 and we're left with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Moving on to step 8:
When dividing 140 by 32, we get 4 with a remainder of 12.
Put 4 as the next digit of the answer. 
Result so far: 13169.34
If we take 128 away from 140, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

On to step 9:
32 can be fit into 120 3 times, resulting in a remainder of 24.
The next digit of our result is 3. 
Result so far: 13169.343
If we take 96 away from 120, we end up with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 10:
32 goes into 240 7 times with a remainder of 16.
Record the quotient 7 as the next digit in the result. 
Result so far: 13169.3437
Deduct 224 from 240 and we're left with 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 11:
32 can be fit into 160 5 times, resulting in a remainder of 0.
The next digit of our result is 5. 
Result so far: 13169.34375
If we subtract 160 from 160, 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.

Moving on to step 12:
The number 32 fits into 0 0 times, leaving a remainder of 0.
The next digit of our result is 0. 
Result so far: 13169.34375
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.

Moving on to step 13:
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: 13169.34375
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.

The final outcome is 13169.34375, with a leftover of 0.0.