6701 ÷ 99 
Let's see how many times 99 fits into 6701.

Going ahead to step 1:
99 goes into 6 0 times with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 99

Moving on to step 2:
67 divided by 99 is 0 with a remainder of 67.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 67 and we're left with 67.
Fetch the next digit (0) from the dividend, attach it to 67 and continue: 670 / 99

Advancing to step 3:
If we divide 670 by 99, we get 6 and a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 6.0
Deduct 594 from 670 and we're left with 76.
Grab the next digit (1) from the dividend, add it to 76, then carry on: 761 / 99

On to step 4:
When dividing 761 by 99, we get 7 with a remainder of 68.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Subtract 693 from 761 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.

Moving on to step 5:
The number 99 fits into 680 6 times, leaving a remainder of 86.
Put 6 as the next digit of the answer. 
Result so far: 67.6
Subtract 594 from 680 to get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Step 6:
99 goes into 860 8 times with a remainder of 68.
Write down 8 as next digit of the result. 
Result so far: 67.68
Deduct 792 from 860 and we're left with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

On to step 7:
680 divided by 99 is 6 with a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 67.686
Deduct 594 from 680 and we're left with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Going ahead to step 8:
The number 99 fits into 860 8 times, leaving a remainder of 68.
The next digit of our result is 8. 
Result so far: 67.6868
If we subtract 792 from 860, we 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.

Moving on to step 9:
When dividing 680 by 99, we get 6 with a remainder of 86.
Write down 6 as next digit of the result. 
Result so far: 67.68686
Subtracting 594 from 680 leaves us with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 10:
99 goes into 860 8 times with a remainder of 68.
The next digit of our result is 8. 
Result so far: 67.686868
If we take 792 away from 860, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Going ahead to step 11:
680 divided by 99 is 6 with a remainder of 86.
Use 6 as the next digit of our solution. 
Result so far: 67.6868686
If we take 594 away from 680, we end up with 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 12:
860 divided by 99 is 8 with a remainder of 68.
Use 8 as the next digit of our solution. 
Result so far: 67.68686868
Subtracting 792 from 860 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

In conclusion, the division gives 67.68686868 with a balance of 6.8e-08.