109191 ÷ 97 
Our goal is to divide 109191 by 97.

Let's proceed to step 1:
If we divide 1 by 97, we get 0 and a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Grab the next digit (0) from the dividend, add it to 1, then carry on: 10 / 97

Step 2:
When dividing 10 by 97, we get 0 with a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 10, we get 10.
Include the next digit (9) from the dividend after 10, then repeat: 109 / 97

Moving on to step 3:
If we divide 109 by 97, we get 1 and a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 97 from 109, we get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 97

Going ahead to step 4:
121 divided by 97 is 1 with a remainder of 24.
The next digit of our result is 1. 
Result so far: 11.0
Subtracting 97 from 121 leaves us with 24.
Take the next digit (9) from the dividend and append it to 24, then repeat: 249 / 97

Moving on to step 5:
249 divided by 97 is 2 with a remainder of 55.
Put 2 as the next digit of the answer. 
Result so far: 112.0
Subtracting 194 from 249 leaves us with 55.
Take the next digit (1) from the dividend and append it to 55, then repeat: 551 / 97

Advancing to step 6:
551 divided by 97 is 5 with a remainder of 66.
Use 5 as the next digit of our solution. 
Result so far: 1125.0
If we subtract 485 from 551, we get 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

On to step 7:
If we divide 660 by 97, we get 6 and a remainder of 78.
The next digit of our result is 6. 
Result so far: 1125.6
The remainder is 78 after subtracting 582 from 660.
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 8:
780 divided by 97 is 8 with a remainder of 4.
Record the quotient 8 as the next digit in the result. 
Result so far: 1125.68
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.

Moving on to step 9:
97 goes into 40 0 times with a remainder of 40.
Use 0 as the next digit of our solution. 
Result so far: 1125.68
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.

Advancing to step 10:
If we divide 400 by 97, we get 4 and a remainder of 12.
The next digit of our result is 4. 
Result so far: 1125.6804
Subtract 388 from 400 to get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 11:
The number 97 fits into 120 1 times, leaving a remainder of 23.
The number 1 becomes the next digit in our result. 
Result so far: 1125.68041
If we take 97 away from 120, we end up 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.

Going ahead to step 12:
97 goes into 230 2 times with a remainder of 36.
Write down 2 as next digit of the result. 
Result so far: 1125.680412
Subtracting 194 from 230 leaves us with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Let's proceed to step 13:
When dividing 360 by 97, we get 3 with a remainder of 69.
Put 3 as the next digit of the answer. 
Result so far: 1125.6804123
Subtract 291 from 360 to get 69.
Since there are no more digits in the dividend, we add a zero to the remainder making it 690, and continue the process.

Let's proceed to step 14:
97 can be fit into 690 7 times, resulting in a remainder of 11.
Put 7 as the next digit of the answer. 
Result so far: 1125.68041237
The remainder is 11 after subtracting 679 from 690.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

After the division, we end up with 1125.68041237 and a remainder of 1.1e-08.