We look at the division of 688363 by 79 
We're looking to find how many times 79 goes into 688363.

Advancing to step 1:
6 divided by 79 is 0 with 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.
Fetch the next digit (8) from the dividend, attach it to 6 and continue: 68 / 79

Advancing to step 2:
When dividing 68 by 79, we get 0 with a remainder of 68.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 68 after subtracting 0 from 68.
Append the next digit (8) from the dividend to 68 and continue with: 688 / 79

Moving on to step 3:
79 goes into 688 8 times with a remainder of 56.
Put 8 as the next digit of the answer. 
Result so far: 8.0
If we subtract 632 from 688, we get 56.
Include the next digit (3) from the dividend after 56, then repeat: 563 / 79

Going ahead to step 4:
If we divide 563 by 79, we get 7 and a remainder of 10.
The next digit of our result is 7. 
Result so far: 87.0
Subtracting 553 from 563 leaves us with 10.
Append the next digit (6) from the dividend to 10 and continue with: 106 / 79

Let's proceed to step 5:
When dividing 106 by 79, we get 1 with a remainder of 27.
Put 1 as the next digit of the answer. 
Result so far: 871.0
If we take 79 away from 106, we end up with 27.
Grab the next digit (3) from the dividend, add it to 27, then carry on: 273 / 79

Advancing to step 6:
273 divided by 79 is 3 with a remainder of 36.
Record the quotient 3 as the next digit in the result. 
Result so far: 8713.0
If we take 237 away from 273, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 7:
The number 79 fits into 360 4 times, leaving a remainder of 44.
Write down 4 as next digit of the result. 
Result so far: 8713.4
Deduct 316 from 360 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Advancing to step 8:
79 goes into 440 5 times with a remainder of 45.
Use 5 as the next digit of our solution. 
Result so far: 8713.45
Deduct 395 from 440 and we're left with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Step 9:
When dividing 450 by 79, we get 5 with a remainder of 55.
The next digit of our result is 5. 
Result so far: 8713.455
Deduct 395 from 450 and we're left with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

The quotient of the division is 8713.455, and the remainder is 0.0055.