Let's divide 407221 by 79
We're looking to find how many times 79 goes into 407221.

Step 1:
When dividing 4 by 79, we get 0 with a remainder of 4.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 4, we get 4.
Fetch the next digit (0) from the dividend, attach it to 4 and continue: 40 / 79

Let's proceed to step 2:
40 divided by 79 is 0 with a remainder of 40.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 40 after subtracting 0 from 40.
Fetch the next digit (7) from the dividend, attach it to 40 and continue: 407 / 79

Advancing to step 3:
When dividing 407 by 79, we get 5 with a remainder of 12.
Put 5 as the next digit of the answer. 
Result so far: 5.0
If we take 395 away from 407, we end up with 12.
Append the next digit (2) from the dividend to 12 and continue with: 122 / 79

Moving on to step 4:
79 goes into 122 1 times with a remainder of 43.
Put 1 as the next digit of the answer. 
Result so far: 51.0
Deduct 79 from 122 and we're left with 43.
Append the next digit (2) from the dividend to 43 and continue with: 432 / 79

Moving on to step 5:
The number 79 fits into 432 5 times, leaving a remainder of 37.
The next digit of our result is 5. 
Result so far: 515.0
Subtracting 395 from 432 leaves us with 37.
Take the next digit (1) from the dividend and append it to 37, then repeat: 371 / 79

On to step 6:
79 goes into 371 4 times with a remainder of 55.
The next digit of our result is 4. 
Result so far: 5154.0
Subtract 316 from 371 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

On to step 7:
79 can be fit into 550 6 times, resulting in a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 5154.6
Deduct 474 from 550 and we're left with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 8:
79 goes into 760 9 times with a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 5154.69
Deduct 711 from 760 and we're left with 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 9:
490 divided by 79 is 6 with a remainder of 16.
Write down 6 as next digit of the result. 
Result so far: 5154.696
If we take 474 away from 490, we end up 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.

Let's proceed to step 10:
160 divided by 79 is 2 with a remainder of 2.
Use 2 as the next digit of our solution. 
Result so far: 5154.6962
Subtracting 158 from 160 leaves us 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.

On to step 11:
20 divided by 79 is 0 with a remainder of 20.
Use 0 as the next digit of our solution. 
Result so far: 5154.6962
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.

Going ahead to step 12:
When dividing 200 by 79, we get 2 with a remainder of 42.
Use 2 as the next digit of our solution. 
Result so far: 5154.696202
Subtract 158 from 200 to get 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Step 13:
420 divided by 79 is 5 with a remainder of 25.
Use 5 as the next digit of our solution. 
Result so far: 5154.6962025
The remainder is 25 after subtracting 395 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

On to step 14:
79 goes into 250 3 times with a remainder of 13.
The number 3 becomes the next digit in our result. 
Result so far: 5154.69620253
Subtracting 237 from 250 leaves us 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.

Our division results in 5154.69620253 with a remaining 1.3e-08.