We're dividing 677667 by 97 
Our goal is to divide 677667 by 97.

Let's proceed to step 1:
6 divided by 97 is 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 6, we end up with 6.
Grab the next digit (7) from the dividend, add it to 6, then carry on: 67 / 97

Let's proceed to step 2:
If we divide 67 by 97, we get 0 and a remainder of 67.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 67, we end up with 67.
Bring next digit (7) of the dividend behind the 67 and repeat the process: 677 / 97

Let's proceed to step 3:
If we divide 677 by 97, we get 6 and a remainder of 95.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 582 from 677 and we're left with 95.
Append the next digit (6) from the dividend to 95 and continue with: 956 / 97

On to step 4:
97 goes into 956 9 times with a remainder of 83.
Use 9 as the next digit of our solution. 
Result so far: 69.0
Subtracting 873 from 956 leaves us with 83.
Append the next digit (6) from the dividend to 83 and continue with: 836 / 97

Step 5:
When dividing 836 by 97, we get 8 with a remainder of 60.
The next digit of our result is 8. 
Result so far: 698.0
Subtract 776 from 836 to get 60.
Fetch the next digit (7) from the dividend, attach it to 60 and continue: 607 / 97

Step 6:
If we divide 607 by 97, we get 6 and a remainder of 25.
Use 6 as the next digit of our solution. 
Result so far: 6986.0
If we subtract 582 from 607, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Going ahead to step 7:
If we divide 250 by 97, we get 2 and a remainder of 56.
The next digit of our result is 2. 
Result so far: 6986.2
Subtract 194 from 250 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

On to step 8:
If we divide 560 by 97, we get 5 and a remainder of 75.
Write down 5 as next digit of the result. 
Result so far: 6986.25
If we subtract 485 from 560, we get 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Moving on to step 9:
The number 97 fits into 750 7 times, leaving a remainder of 71.
The number 7 becomes the next digit in our result. 
Result so far: 6986.257
The remainder is 71 after subtracting 679 from 750.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Advancing to step 10:
710 divided by 97 is 7 with a remainder of 31.
The next digit of our result is 7. 
Result so far: 6986.2577
If we subtract 679 from 710, we get 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

The final result is 6986.2577 with a remainder of 0.00031.