We look at the division of 766611 by 97 
Our goal is to divide 766611 by 97.

Advancing to step 1:
97 goes into 7 0 times with a remainder of 7.
Write down 0 as next digit of the result. 
Result so far: 0.0
The remainder is 7 after subtracting 0 from 7.
Append the next digit (6) from the dividend to 7 and continue with: 76 / 97

Going ahead to step 2:
If we divide 76 by 97, we get 0 and a remainder of 76.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 76 to get 76.
Append the next digit (6) from the dividend to 76 and continue with: 766 / 97

Going ahead to step 3:
766 divided by 97 is 7 with a remainder of 87.
Put 7 as the next digit of the answer. 
Result so far: 7.0
If we take 679 away from 766, we end up with 87.
Append the next digit (6) from the dividend to 87 and continue with: 876 / 97

Let's proceed to step 4:
The number 97 fits into 876 9 times, leaving a remainder of 3.
The next digit of our result is 9. 
Result so far: 79.0
Subtract 873 from 876 to get 3.
Fetch the next digit (1) from the dividend, attach it to 3 and continue: 31 / 97

Let's proceed to step 5:
When dividing 31 by 97, we get 0 with a remainder of 31.
The number 0 becomes the next digit in our result. 
Result so far: 790.0
Deduct 0 from 31 and we're left with 31.
Append the next digit (1) from the dividend to 31 and continue with: 311 / 97

On to step 6:
97 can be fit into 311 3 times, resulting in a remainder of 20.
Record the quotient 3 as the next digit in the result. 
Result so far: 7903.0
Subtract 291 from 311 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Let's proceed to step 7:
If we divide 200 by 97, we get 2 and a remainder of 6.
Use 2 as the next digit of our solution. 
Result so far: 7903.2
Deduct 194 from 200 and we're left with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Moving on to step 8:
If we divide 60 by 97, we get 0 and a remainder of 60.
The number 0 becomes the next digit in our result. 
Result so far: 7903.2
Subtract 0 from 60 to get 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Advancing to step 9:
600 divided by 97 is 6 with a remainder of 18.
The next digit of our result is 6. 
Result so far: 7903.206
The remainder is 18 after subtracting 582 from 600.
Since there are no more digits in the dividend, we add a zero to the remainder making it 180, and continue the process.

Let's proceed to step 10:
180 divided by 97 is 1 with a remainder of 83.
The number 1 becomes the next digit in our result. 
Result so far: 7903.2061
If we take 97 away from 180, we end up with 83.
Since there are no more digits in the dividend, we add a zero to the remainder making it 830, and continue the process.

Let's proceed to step 11:
The number 97 fits into 830 8 times, leaving a remainder of 54.
Write down 8 as next digit of the result. 
Result so far: 7903.20618
If we take 776 away from 830, we end up with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Advancing to step 12:
97 can be fit into 540 5 times, resulting in a remainder of 55.
Put 5 as the next digit of the answer. 
Result so far: 7903.206185
Subtract 485 from 540 to get 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Advancing to step 13:
When dividing 550 by 97, we get 5 with a remainder of 65.
Record the quotient 5 as the next digit in the result. 
Result so far: 7903.2061855
If we take 485 away from 550, we end up with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

After the division, we end up with 7903.2061855 and a remainder of 6.5e-07.