We look at the division of 687344 by 79 
We're looking to find how many times 79 goes into 687344.

Step 1:
The number 79 fits into 6 0 times, leaving a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 79

Going ahead to step 2:
79 goes into 68 0 times with a remainder of 68.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtract 0 from 68 to get 68.
Grab the next digit (7) from the dividend, add it to 68, then carry on: 687 / 79

Going ahead to step 3:
When dividing 687 by 79, we get 8 with a remainder of 55.
Record the quotient 8 as the next digit in the result. 
Result so far: 8.0
If we take 632 away from 687, we end up with 55.
Include the next digit (3) from the dividend after 55, then repeat: 553 / 79

Going ahead to step 4:
When dividing 553 by 79, we get 7 with a remainder of 0.
Write down 7 as next digit of the result. 
Result so far: 87.0
If we take 553 away from 553, we end up with 0.
Include the next digit (4) from the dividend after 0, then repeat: 4 / 79

Advancing to step 5:
When dividing 4 by 79, we get 0 with a remainder of 4.
Write down 0 as next digit of the result. 
Result so far: 870.0
Subtracting 0 from 4 leaves us with 4.
Bring next digit (4) of the dividend behind the 4 and repeat the process: 44 / 79

Advancing to step 6:
79 can be fit into 44 0 times, resulting in a remainder of 44.
Put 0 as the next digit of the answer. 
Result so far: 8700.0
Deduct 0 from 44 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 7:
If we divide 440 by 79, we get 5 and a remainder of 45.
The next digit of our result is 5. 
Result so far: 8700.5
Subtracting 395 from 440 leaves us 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.

Advancing to step 8:
The number 79 fits into 450 5 times, leaving a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 8700.55
Subtract 395 from 450 to get 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 final result is 8700.55 with a remainder of 0.055.