We're dividing 420204 by 79 
We're looking to find how many times 79 goes into 420204.

Going ahead to step 1:
4 divided by 79 is 0 with a remainder of 4.
The next digit of our result is 0. 
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 / 79

Step 2:
79 goes into 42 0 times with a remainder of 42.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 42, we end up with 42.
Bring next digit (0) of the dividend behind the 42 and repeat the process: 420 / 79

Let's proceed to step 3:
The number 79 fits into 420 5 times, leaving a remainder of 25.
Write down 5 as next digit of the result. 
Result so far: 5.0
If we subtract 395 from 420, we get 25.
Bring next digit (2) of the dividend behind the 25 and repeat the process: 252 / 79

Going ahead to step 4:
If we divide 252 by 79, we get 3 and a remainder of 15.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtracting 237 from 252 leaves us with 15.
Take the next digit (0) from the dividend and append it to 15, then repeat: 150 / 79

Moving on to step 5:
79 goes into 150 1 times with a remainder of 71.
The next digit of our result is 1. 
Result so far: 531.0
If we subtract 79 from 150, we get 71.
Include the next digit (4) from the dividend after 71, then repeat: 714 / 79

Advancing to step 6:
When dividing 714 by 79, we get 9 with a remainder of 3.
The number 9 becomes the next digit in our result. 
Result so far: 5319.0
If we subtract 711 from 714, we get 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Advancing to step 7:
79 can be fit into 30 0 times, resulting in a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 5319.0
If we subtract 0 from 30, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 8:
The number 79 fits into 300 3 times, leaving a remainder of 63.
Use 3 as the next digit of our solution. 
Result so far: 5319.03
Subtracting 237 from 300 leaves us with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 9:
630 divided by 79 is 7 with a remainder of 77.
Use 7 as the next digit of our solution. 
Result so far: 5319.037
Deduct 553 from 630 and we're left with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Going ahead to step 10:
When dividing 770 by 79, we get 9 with a remainder of 59.
Put 9 as the next digit of the answer. 
Result so far: 5319.0379
If we take 711 away from 770, we end up with 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Step 11:
79 can be fit into 590 7 times, resulting in a remainder of 37.
The number 7 becomes the next digit in our result. 
Result so far: 5319.03797
If we take 553 away from 590, we end up with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 12:
79 can be fit into 370 4 times, resulting in a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 5319.037974
The remainder is 54 after subtracting 316 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 13:
79 can be fit into 540 6 times, resulting in a remainder of 66.
Write down 6 as next digit of the result. 
Result so far: 5319.0379746
The remainder is 66 after subtracting 474 from 540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Going ahead to step 14:
The number 79 fits into 660 8 times, leaving a remainder of 28.
Record the quotient 8 as the next digit in the result. 
Result so far: 5319.03797468
Deduct 632 from 660 and we're left with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

After the division, we end up with 5319.03797468 and a remainder of 2.8e-08.