686603 ÷ 79 
We want to divide 686603 by 79.

Step 1:
If we divide 6 by 79, we get 0 and a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (8) of the dividend behind the 6 and repeat the process: 68 / 79

On to step 2:
If we divide 68 by 79, we get 0 and a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we take 0 away from 68, we end up with 68.
Bring next digit (6) of the dividend behind the 68 and repeat the process: 686 / 79

Let's proceed to step 3:
If we divide 686 by 79, we get 8 and a remainder of 54.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 632 from 686 leaves us with 54.
Include the next digit (6) from the dividend after 54, then repeat: 546 / 79

Going ahead to step 4:
79 goes into 546 6 times with a remainder of 72.
The next digit of our result is 6. 
Result so far: 86.0
Deduct 474 from 546 and we're left with 72.
Bring next digit (0) of the dividend behind the 72 and repeat the process: 720 / 79

Step 5:
720 divided by 79 is 9 with a remainder of 9.
The number 9 becomes the next digit in our result. 
Result so far: 869.0
If we take 711 away from 720, we end up with 9.
Fetch the next digit (3) from the dividend, attach it to 9 and continue: 93 / 79

On to step 6:
The number 79 fits into 93 1 times, leaving a remainder of 14.
Put 1 as the next digit of the answer. 
Result so far: 8691.0
If we subtract 79 from 93, we get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 7:
If we divide 140 by 79, we get 1 and a remainder of 61.
Record the quotient 1 as the next digit in the result. 
Result so far: 8691.1
The remainder is 61 after subtracting 79 from 140.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Let's proceed to step 8:
79 can be fit into 610 7 times, resulting in a remainder of 57.
Put 7 as the next digit of the answer. 
Result so far: 8691.17
Subtract 553 from 610 to get 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 9:
79 goes into 570 7 times with a remainder of 17.
The number 7 becomes the next digit in our result. 
Result so far: 8691.177
If we subtract 553 from 570, we get 17.
Since there are no more digits in the dividend, we add a zero to the remainder making it 170, and continue the process.

The quotient of the division is 8691.177, and the remainder is 0.0017.