We divide 6801 by 79
We want to figure out the number of times 6801 can be divided by 79.

Advancing to step 1:
When dividing 6 by 79, we get 0 with a remainder of 6.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Take the next digit (8) from the dividend and append it to 6, then repeat: 68 / 79

Step 2:
When dividing 68 by 79, we get 0 with a remainder of 68.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 68 leaves us with 68.
Take the next digit (0) from the dividend and append it to 68, then repeat: 680 / 79

Moving on to step 3:
79 goes into 680 8 times with a remainder of 48.
Put 8 as the next digit of the answer. 
Result so far: 8.0
Subtracting 632 from 680 leaves us with 48.
Bring next digit (1) of the dividend behind the 48 and repeat the process: 481 / 79

On to step 4:
The number 79 fits into 481 6 times, leaving a remainder of 7.
The next digit of our result is 6. 
Result so far: 86.0
Deduct 474 from 481 and we're left with 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Moving on to step 5:
If we divide 70 by 79, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 86.0
Deduct 0 from 70 and we're left with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

Moving on to step 6:
79 goes into 700 8 times with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 86.08
Subtract 632 from 700 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 7:
680 divided by 79 is 8 with a remainder of 48.
Use 8 as the next digit of our solution. 
Result so far: 86.088
Subtracting 632 from 680 leaves us with 48.
Since there are no more digits in the dividend, we add a zero to the remainder making it 480, and continue the process.

The final result is 86.088 with a remainder of 0.0048.