We're dividing 670 by 99 
We want to figure out the number of times 670 can be divided by 99.

On to step 1:
6 divided by 99 is 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Take the next digit (7) from the dividend and append it to 6, then repeat: 67 / 99

Advancing to step 2:
The number 99 fits into 67 0 times, leaving a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 67 to get 67.
Fetch the next digit (0) from the dividend, attach it to 67 and continue: 670 / 99

Moving on to step 3:
If we divide 670 by 99, we get 6 and a remainder of 76.
Use 6 as the next digit of our solution. 
Result so far: 6.0
If we subtract 594 from 670, we get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 4:
If we divide 760 by 99, we get 7 and a remainder of 67.
The number 7 becomes the next digit in our result. 
Result so far: 6.7
If we take 693 away from 760, we end up with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Step 5:
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: 6.76
Subtracting 594 from 670 leaves us with 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Advancing to step 6:
The number 99 fits into 760 7 times, leaving a remainder of 67.
The next digit of our result is 7. 
Result so far: 6.767
If we subtract 693 from 760, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 7:
The number 99 fits into 670 6 times, leaving a remainder of 76.
Write down 6 as next digit of the result. 
Result so far: 6.7676
The remainder is 76 after subtracting 594 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Let's proceed to step 8:
99 goes into 760 7 times with a remainder of 67.
The next digit of our result is 7. 
Result so far: 6.76767
Deduct 693 from 760 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

On to step 9:
When dividing 670 by 99, we get 6 with a remainder of 76.
Put 6 as the next digit of the answer. 
Result so far: 6.767676
The remainder is 76 after subtracting 594 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 10:
The number 99 fits into 760 7 times, leaving a remainder of 67.
Write down 7 as next digit of the result. 
Result so far: 6.7676767
The remainder is 67 after subtracting 693 from 760.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 11:
The number 99 fits into 670 6 times, leaving a remainder of 76.
The next digit of our result is 6. 
Result so far: 6.76767676
Subtract 594 from 670 to get 76.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

After the division, we end up with 6.76767676 and a remainder of 7.6e-08.