We look at the division of 657614 by 97 
Let's see how many times 97 fits into 657614.

Let's proceed to step 1:
When dividing 6 by 97, we get 0 with a remainder of 6.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 6 leaves us with 6.
Append the next digit (5) from the dividend to 6 and continue with: 65 / 97

Step 2:
If we divide 65 by 97, we get 0 and a remainder of 65.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 65 and we're left with 65.
Include the next digit (7) from the dividend after 65, then repeat: 657 / 97

Moving on to step 3:
If we divide 657 by 97, we get 6 and a remainder of 75.
The next digit of our result is 6. 
Result so far: 6.0
Subtracting 582 from 657 leaves us with 75.
Append the next digit (6) from the dividend to 75 and continue with: 756 / 97

Let's proceed to step 4:
97 goes into 756 7 times with a remainder of 77.
Record the quotient 7 as the next digit in the result. 
Result so far: 67.0
Subtract 679 from 756 to get 77.
Append the next digit (1) from the dividend to 77 and continue with: 771 / 97

Moving on to step 5:
When dividing 771 by 97, we get 7 with a remainder of 92.
The number 7 becomes the next digit in our result. 
Result so far: 677.0
Subtracting 679 from 771 leaves us with 92.
Grab the next digit (4) from the dividend, add it to 92, then carry on: 924 / 97

Advancing to step 6:
If we divide 924 by 97, we get 9 and a remainder of 51.
Use 9 as the next digit of our solution. 
Result so far: 6779.0
Subtracting 873 from 924 leaves us with 51.
Since there are no more digits in the dividend, we add a zero to the remainder making it 510, and continue the process.

Step 7:
When dividing 510 by 97, we get 5 with a remainder of 25.
Put 5 as the next digit of the answer. 
Result so far: 6779.5
If we subtract 485 from 510, 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.

Moving on to step 8:
If we divide 250 by 97, we get 2 and a remainder of 56.
Write down 2 as next digit of the result. 
Result so far: 6779.52
The remainder is 56 after subtracting 194 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 9:
560 divided by 97 is 5 with a remainder of 75.
The next digit of our result is 5. 
Result so far: 6779.525
Subtract 485 from 560 to 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.

Let's proceed to step 10:
97 goes into 750 7 times with a remainder of 71.
Use 7 as the next digit of our solution. 
Result so far: 6779.5257
If we subtract 679 from 750, we get 71.
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 11:
The number 97 fits into 710 7 times, leaving a remainder of 31.
Record the quotient 7 as the next digit in the result. 
Result so far: 6779.52577
Subtracting 679 from 710 leaves us with 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 quotient of the division is 6779.52577, and the remainder is 3.1e-05.