We look at the division of 753671 by 97 
We want to divide 753671 by 97.

Step 1:
When dividing 7 by 97, we get 0 with a remainder of 7.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Append the next digit (5) from the dividend to 7 and continue with: 75 / 97

Let's proceed to step 2:
When dividing 75 by 97, we get 0 with a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 75, we get 75.
Grab the next digit (3) from the dividend, add it to 75, then carry on: 753 / 97

Going ahead to step 3:
If we divide 753 by 97, we get 7 and a remainder of 74.
Put 7 as the next digit of the answer. 
Result so far: 7.0
Subtracting 679 from 753 leaves us with 74.
Take the next digit (6) from the dividend and append it to 74, then repeat: 746 / 97

Moving on to step 4:
When dividing 746 by 97, we get 7 with a remainder of 67.
The number 7 becomes the next digit in our result. 
Result so far: 77.0
Subtracting 679 from 746 leaves us with 67.
Fetch the next digit (7) from the dividend, attach it to 67 and continue: 677 / 97

Advancing to step 5:
97 can be fit into 677 6 times, resulting in a remainder of 95.
Record the quotient 6 as the next digit in the result. 
Result so far: 776.0
Subtract 582 from 677 to get 95.
Append the next digit (1) from the dividend to 95 and continue with: 951 / 97

On to step 6:
If we divide 951 by 97, we get 9 and a remainder of 78.
Write down 9 as next digit of the result. 
Result so far: 7769.0
Subtract 873 from 951 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Going ahead to step 7:
97 can be fit into 780 8 times, resulting in a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 7769.8
Subtract 776 from 780 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

On to step 8:
40 divided by 97 is 0 with a remainder of 40.
The next digit of our result is 0. 
Result so far: 7769.8
Subtracting 0 from 40 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Let's proceed to step 9:
97 goes into 400 4 times with a remainder of 12.
Record the quotient 4 as the next digit in the result. 
Result so far: 7769.804
If we take 388 away from 400, we end up with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Going ahead to step 10:
When dividing 120 by 97, we get 1 with a remainder of 23.
Record the quotient 1 as the next digit in the result. 
Result so far: 7769.8041
Subtracting 97 from 120 leaves us with 23.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Step 11:
The number 97 fits into 230 2 times, leaving a remainder of 36.
Use 2 as the next digit of our solution. 
Result so far: 7769.80412
The remainder is 36 after subtracting 194 from 230.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 12:
The number 97 fits into 360 3 times, leaving a remainder of 69.
Use 3 as the next digit of our solution. 
Result so far: 7769.804123
The remainder is 69 after subtracting 291 from 360.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

On to step 13:
690 divided by 97 is 7 with a remainder of 11.
Use 7 as the next digit of our solution. 
Result so far: 7769.8041237
Deduct 679 from 690 and we're left with 11.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Going ahead to step 14:
110 divided by 97 is 1 with a remainder of 13.
Record the quotient 1 as the next digit in the result. 
Result so far: 7769.80412371
The remainder is 13 after subtracting 97 from 110.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Our division results in 7769.80412371 with a remaining 1.3e-08.