We look at the division of 769009 by 97 
We're looking to find how many times 97 goes into 769009.

Let's proceed to step 1:
7 divided by 97 is 0 with a remainder of 7.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 7 to get 7.
Take the next digit (6) from the dividend and append it to 7, then repeat: 76 / 97

On to step 2:
97 goes into 76 0 times with a remainder of 76.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 76 and we're left with 76.
Take the next digit (9) from the dividend and append it to 76, then repeat: 769 / 97

Moving on to step 3:
769 divided by 97 is 7 with a remainder of 90.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 679 from 769 leaves us with 90.
Append the next digit (0) from the dividend to 90 and continue with: 900 / 97

Step 4:
When dividing 900 by 97, we get 9 with a remainder of 27.
The next digit of our result is 9. 
Result so far: 79.0
The remainder is 27 after subtracting 873 from 900.
Append the next digit (0) from the dividend to 27 and continue with: 270 / 97

Moving on to step 5:
270 divided by 97 is 2 with a remainder of 76.
The next digit of our result is 2. 
Result so far: 792.0
Subtracting 194 from 270 leaves us with 76.
Grab the next digit (9) from the dividend, add it to 76, then carry on: 769 / 97

Step 6:
769 divided by 97 is 7 with a remainder of 90.
The number 7 becomes the next digit in our result. 
Result so far: 7927.0
The remainder is 90 after subtracting 679 from 769.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Advancing to step 7:
When dividing 900 by 97, we get 9 with a remainder of 27.
Put 9 as the next digit of the answer. 
Result so far: 7927.9
Deduct 873 from 900 and we're left with 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Let's proceed to step 8:
When dividing 270 by 97, we get 2 with a remainder of 76.
The number 2 becomes the next digit in our result. 
Result so far: 7927.92
Deduct 194 from 270 and we're left 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 9:
When dividing 760 by 97, we get 7 with a remainder of 81.
The next digit of our result is 7. 
Result so far: 7927.927
Deduct 679 from 760 and we're left with 81.
Since there are no more digits in the dividend, we add a zero to the remainder making it 810, and continue the process.

On to step 10:
If we divide 810 by 97, we get 8 and a remainder of 34.
Use 8 as the next digit of our solution. 
Result so far: 7927.9278
Deduct 776 from 810 and we're left with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

On to step 11:
97 goes into 340 3 times with a remainder of 49.
Put 3 as the next digit of the answer. 
Result so far: 7927.92783
Subtract 291 from 340 to get 49.
Since there are no more digits in the dividend, we add a zero to the remainder making it 490, and continue the process.

Moving on to step 12:
When dividing 490 by 97, we get 5 with a remainder of 5.
Write down 5 as next digit of the result. 
Result so far: 7927.927835
If we take 485 away from 490, we end up with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Advancing to step 13:
When dividing 50 by 97, we get 0 with a remainder of 50.
Put 0 as the next digit of the answer. 
Result so far: 7927.927835
Subtract 0 from 50 to get 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

On to step 14:
The number 97 fits into 500 5 times, leaving a remainder of 15.
The next digit of our result is 5. 
Result so far: 7927.92783505
The remainder is 15 after subtracting 485 from 500.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Our division results in 7927.92783505 with a remaining 1.5e-08.