We look at the division of 506941 by 79 
Our goal is to divide 506941 by 79.

Advancing to step 1:
79 goes into 5 0 times with a remainder of 5.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 5, we get 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 79

Let's proceed to step 2:
50 divided by 79 is 0 with a remainder of 50.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 50 after subtracting 0 from 50.
Take the next digit (6) from the dividend and append it to 50, then repeat: 506 / 79

Advancing to step 3:
When dividing 506 by 79, we get 6 with a remainder of 32.
The next digit of our result is 6. 
Result so far: 6.0
If we subtract 474 from 506, we get 32.
Bring next digit (9) of the dividend behind the 32 and repeat the process: 329 / 79

Going ahead to step 4:
If we divide 329 by 79, we get 4 and a remainder of 13.
Put 4 as the next digit of the answer. 
Result so far: 64.0
The remainder is 13 after subtracting 316 from 329.
Include the next digit (4) from the dividend after 13, then repeat: 134 / 79

Moving on to step 5:
If we divide 134 by 79, we get 1 and a remainder of 55.
The next digit of our result is 1. 
Result so far: 641.0
Subtracting 79 from 134 leaves us with 55.
Include the next digit (1) from the dividend after 55, then repeat: 551 / 79

Going ahead to step 6:
When dividing 551 by 79, we get 6 with a remainder of 77.
The next digit of our result is 6. 
Result so far: 6416.0
If we subtract 474 from 551, we get 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

Moving on to step 7:
When dividing 770 by 79, we get 9 with a remainder of 59.
Use 9 as the next digit of our solution. 
Result so far: 6416.9
The remainder is 59 after subtracting 711 from 770.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

Let's proceed to step 8:
The number 79 fits into 590 7 times, leaving a remainder of 37.
Record the quotient 7 as the next digit in the result. 
Result so far: 6416.97
The remainder is 37 after subtracting 553 from 590.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Step 9:
If we divide 370 by 79, we get 4 and a remainder of 54.
Use 4 as the next digit of our solution. 
Result so far: 6416.974
If we subtract 316 from 370, we get 54.
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 10:
540 divided by 79 is 6 with a remainder of 66.
The next digit of our result is 6. 
Result so far: 6416.9746
If we take 474 away from 540, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

Advancing to step 11:
660 divided by 79 is 8 with a remainder of 28.
Put 8 as the next digit of the answer. 
Result so far: 6416.97468
If we take 632 away from 660, we end up 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.

Advancing to step 12:
280 divided by 79 is 3 with a remainder of 43.
Use 3 as the next digit of our solution. 
Result so far: 6416.974683
Subtracting 237 from 280 leaves us with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

On to step 13:
If we divide 430 by 79, we get 5 and a remainder of 35.
The next digit of our result is 5. 
Result so far: 6416.9746835
Subtracting 395 from 430 leaves us with 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Let's proceed to step 14:
350 divided by 79 is 4 with a remainder of 34.
Use 4 as the next digit of our solution. 
Result so far: 6416.97468354
Subtracting 316 from 350 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

After the division, we end up with 6416.97468354 and a remainder of 3.4e-08.