Let's divide 507677 by 79
Our goal is to divide 507677 by 79.

Step 1:
5 divided by 79 is 0 with a remainder of 5.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Grab the next digit (0) from the dividend, add it to 5, then carry on: 50 / 79

Step 2:
79 can be fit into 50 0 times, resulting in a remainder of 50.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 50, we get 50.
Append the next digit (7) from the dividend to 50 and continue with: 507 / 79

On to step 3:
507 divided by 79 is 6 with a remainder of 33.
The number 6 becomes the next digit in our result. 
Result so far: 6.0
If we subtract 474 from 507, we get 33.
Grab the next digit (6) from the dividend, add it to 33, then carry on: 336 / 79

Step 4:
When dividing 336 by 79, we get 4 with a remainder of 20.
The number 4 becomes the next digit in our result. 
Result so far: 64.0
Subtracting 316 from 336 leaves us with 20.
Bring next digit (7) of the dividend behind the 20 and repeat the process: 207 / 79

Moving on to step 5:
If we divide 207 by 79, we get 2 and a remainder of 49.
The next digit of our result is 2. 
Result so far: 642.0
The remainder is 49 after subtracting 158 from 207.
Fetch the next digit (7) from the dividend, attach it to 49 and continue: 497 / 79

Let's proceed to step 6:
When dividing 497 by 79, we get 6 with a remainder of 23.
Put 6 as the next digit of the answer. 
Result so far: 6426.0
Subtracting 474 from 497 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
The number 79 fits into 230 2 times, leaving a remainder of 72.
Use 2 as the next digit of our solution. 
Result so far: 6426.2
Deduct 158 from 230 and we're left with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 8:
79 goes into 720 9 times with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 6426.29
Subtracting 711 from 720 leaves us with 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 9:
If we divide 90 by 79, we get 1 and a remainder of 11.
Record the quotient 1 as the next digit in the result. 
Result so far: 6426.291
If we take 79 away from 90, we end up with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Let's proceed to step 10:
110 divided by 79 is 1 with a remainder of 31.
Put 1 as the next digit of the answer. 
Result so far: 6426.2911
The remainder is 31 after subtracting 79 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 6426.2911 with a remainder of 0.00031.