We're dividing 71422541 by 321 
We want to figure out the number of times 71422541 can be divided by 321.

Advancing to step 1:
321 goes into 7 0 times with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 7, we get 7.
Fetch the next digit (1) from the dividend, attach it to 7 and continue: 71 / 321

Step 2:
321 can be fit into 71 0 times, resulting in a remainder of 71.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we take 0 away from 71, we end up with 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 321

Going ahead to step 3:
If we divide 714 by 321, we get 2 and a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Deduct 642 from 714 and we're left with 72.
Take the next digit (2) from the dividend and append it to 72, then repeat: 722 / 321

Moving on to step 4:
722 divided by 321 is 2 with a remainder of 80.
Put 2 as the next digit of the answer. 
Result so far: 22.0
Subtract 642 from 722 to get 80.
Bring next digit (2) of the dividend behind the 80 and repeat the process: 802 / 321

Advancing to step 5:
The number 321 fits into 802 2 times, leaving a remainder of 160.
Put 2 as the next digit of the answer. 
Result so far: 222.0
If we take 642 away from 802, we end up with 160.
Append the next digit (5) from the dividend to 160 and continue with: 1605 / 321

Going ahead to step 6:
321 can be fit into 1605 5 times, resulting in a remainder of 0.
Use 5 as the next digit of our solution. 
Result so far: 2225.0
If we subtract 1605 from 1605, we get 0.
Bring next digit (4) of the dividend behind the 0 and repeat the process: 4 / 321

Going ahead to step 7:
321 goes into 4 0 times with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 22250.0
The remainder is 4 after subtracting 0 from 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 321

Going ahead to step 8:
If we divide 41 by 321, we get 0 and a remainder of 41.
The number 0 becomes the next digit in our result. 
Result so far: 222500.0
If we subtract 0 from 41, we get 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Let's proceed to step 9:
When dividing 410 by 321, we get 1 with a remainder of 89.
Use 1 as the next digit of our solution. 
Result so far: 222500.1
Subtracting 321 from 410 leaves us with 89.
Since there are no more digits in the dividend, we add a zero to the remainder making it 890, and continue the process.

Moving on to step 10:
321 goes into 890 2 times with a remainder of 248.
Record the quotient 2 as the next digit in the result. 
Result so far: 222500.12
Subtract 642 from 890 to get 248.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2480, and continue the process.

On to step 11:
321 goes into 2480 7 times with a remainder of 233.
Use 7 as the next digit of our solution. 
Result so far: 222500.127
Subtracting 2247 from 2480 leaves us with 233.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2330, and continue the process.

Step 12:
321 goes into 2330 7 times with a remainder of 83.
Use 7 as the next digit of our solution. 
Result so far: 222500.1277
If we subtract 2247 from 2330, we get 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

In conclusion, the division gives 222500.1277 with a balance of 0.00083.