Let's divide 665687 by 79
We're looking to find how many times 79 goes into 665687.

Advancing to step 1:
6 divided by 79 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 79

Let's proceed to step 2:
66 divided by 79 is 0 with a remainder of 66.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Append the next digit (5) from the dividend to 66 and continue with: 665 / 79

On to step 3:
79 can be fit into 665 8 times, resulting in a remainder of 33.
The next digit of our result is 8. 
Result so far: 8.0
The remainder is 33 after subtracting 632 from 665.
Fetch the next digit (6) from the dividend, attach it to 33 and continue: 336 / 79

Going ahead to step 4:
79 goes into 336 4 times with a remainder of 20.
Write down 4 as next digit of the result. 
Result so far: 84.0
If we take 316 away from 336, we end up with 20.
Grab the next digit (8) from the dividend, add it to 20, then carry on: 208 / 79

Going ahead to step 5:
208 divided by 79 is 2 with a remainder of 50.
Use 2 as the next digit of our solution. 
Result so far: 842.0
Subtracting 158 from 208 leaves us with 50.
Bring next digit (7) of the dividend behind the 50 and repeat the process: 507 / 79

On to step 6:
When dividing 507 by 79, we get 6 with a remainder of 33.
Use 6 as the next digit of our solution. 
Result so far: 8426.0
If we take 474 away from 507, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Advancing to step 7:
330 divided by 79 is 4 with a remainder of 14.
Write down 4 as next digit of the result. 
Result so far: 8426.4
Subtracting 316 from 330 leaves us with 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Advancing to step 8:
140 divided by 79 is 1 with a remainder of 61.
Write down 1 as next digit of the result. 
Result so far: 8426.41
Subtract 79 from 140 to get 61.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 9:
The number 79 fits into 610 7 times, leaving a remainder of 57.
Use 7 as the next digit of our solution. 
Result so far: 8426.417
Deduct 553 from 610 and we're left with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 10:
570 divided by 79 is 7 with a remainder of 17.
Write down 7 as next digit of the result. 
Result so far: 8426.4177
If we take 553 away from 570, we end up with 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

In conclusion, the division gives 8426.4177 with a balance of 0.00017.