Let's divide 761023 by 97
Our goal is to divide 761023 by 97.

Step 1:
The number 97 fits into 7 0 times, leaving a remainder of 7.
Record the quotient 0 as the next digit in the result. 
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

Going ahead to step 2:
97 can be fit into 76 0 times, resulting in a remainder of 76.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtracting 0 from 76 leaves us with 76.
Include the next digit (1) from the dividend after 76, then repeat: 761 / 97

Step 3:
When dividing 761 by 97, we get 7 with a remainder of 82.
Record the quotient 7 as the next digit in the result. 
Result so far: 7.0
Subtracting 679 from 761 leaves us with 82.
Grab the next digit (0) from the dividend, add it to 82, then carry on: 820 / 97

Going ahead to step 4:
When dividing 820 by 97, we get 8 with a remainder of 44.
The next digit of our result is 8. 
Result so far: 78.0
The remainder is 44 after subtracting 776 from 820.
Include the next digit (2) from the dividend after 44, then repeat: 442 / 97

Moving on to step 5:
If we divide 442 by 97, we get 4 and a remainder of 54.
Write down 4 as next digit of the result. 
Result so far: 784.0
Subtracting 388 from 442 leaves us with 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 97

On to step 6:
If we divide 543 by 97, we get 5 and a remainder of 58.
The next digit of our result is 5. 
Result so far: 7845.0
If we subtract 485 from 543, we get 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Step 7:
If we divide 580 by 97, we get 5 and a remainder of 95.
Record the quotient 5 as the next digit in the result. 
Result so far: 7845.5
The remainder is 95 after subtracting 485 from 580.
Since there are no more digits in the dividend, we add a zero to the remainder making it 950, and continue the process.

Moving on to step 8:
The number 97 fits into 950 9 times, leaving a remainder of 77.
The next digit of our result is 9. 
Result so far: 7845.59
If we take 873 away from 950, we end up with 77.
Since there are no more digits in the dividend, we add a zero to the remainder making it 770, and continue the process.

On to step 9:
97 can be fit into 770 7 times, resulting in a remainder of 91.
Record the quotient 7 as the next digit in the result. 
Result so far: 7845.597
Deduct 679 from 770 and we're left with 91.
Since there are no more digits in the dividend, we add a zero to the remainder making it 910, and continue the process.

Step 10:
The number 97 fits into 910 9 times, leaving a remainder of 37.
Put 9 as the next digit of the answer. 
Result so far: 7845.5979
Deduct 873 from 910 and we're left with 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

On to step 11:
When dividing 370 by 97, we get 3 with a remainder of 79.
Put 3 as the next digit of the answer. 
Result so far: 7845.59793
The remainder is 79 after subtracting 291 from 370.
Since there are no more digits in the dividend, we add a zero to the remainder making it 790, and continue the process.

Step 12:
When dividing 790 by 97, we get 8 with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 7845.597938
The remainder is 14 after subtracting 776 from 790.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 13:
140 divided by 97 is 1 with a remainder of 43.
The number 1 becomes the next digit in our result. 
Result so far: 7845.5979381
If we take 97 away from 140, we end up with 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

Advancing to step 14:
430 divided by 97 is 4 with a remainder of 42.
Put 4 as the next digit of the answer. 
Result so far: 7845.59793814
If we take 388 away from 430, we end up with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

The final result is 7845.59793814 with a remainder of 4.2e-08.