We're dividing 114203 by 97 
We're looking to find how many times 97 goes into 114203.

On to step 1:
When dividing 1 by 97, we get 0 with a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (1) from the dividend and append it to 1, then repeat: 11 / 97

Step 2:
97 can be fit into 11 0 times, resulting in a remainder of 11.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 11, we get 11.
Bring next digit (4) of the dividend behind the 11 and repeat the process: 114 / 97

Let's proceed to step 3:
97 goes into 114 1 times with a remainder of 17.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
The remainder is 17 after subtracting 97 from 114.
Grab the next digit (2) from the dividend, add it to 17, then carry on: 172 / 97

Advancing to step 4:
When dividing 172 by 97, we get 1 with a remainder of 75.
Write down 1 as next digit of the result. 
Result so far: 11.0
The remainder is 75 after subtracting 97 from 172.
Include the next digit (0) from the dividend after 75, then repeat: 750 / 97

Step 5:
97 goes into 750 7 times with a remainder of 71.
Put 7 as the next digit of the answer. 
Result so far: 117.0
If we subtract 679 from 750, we get 71.
Include the next digit (3) from the dividend after 71, then repeat: 713 / 97

Step 6:
97 goes into 713 7 times with a remainder of 34.
Use 7 as the next digit of our solution. 
Result so far: 1177.0
Subtracting 679 from 713 leaves us 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.

Going ahead to step 7:
97 goes into 340 3 times with a remainder of 49.
Use 3 as the next digit of our solution. 
Result so far: 1177.3
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.

On to step 8:
97 goes into 490 5 times with a remainder of 5.
The number 5 becomes the next digit in our result. 
Result so far: 1177.35
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.

On to step 9:
50 divided by 97 is 0 with a remainder of 50.
Use 0 as the next digit of our solution. 
Result so far: 1177.35
If we take 0 away from 50, we end up with 50.
Since there are no more digits in the dividend, we add a zero to the remainder making it 500, and continue the process.

Advancing to step 10:
97 can be fit into 500 5 times, resulting in a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 1177.3505
Subtracting 485 from 500 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Moving on to step 11:
When dividing 150 by 97, we get 1 with a remainder of 53.
Record the quotient 1 as the next digit in the result. 
Result so far: 1177.35051
Deduct 97 from 150 and we're left with 53.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 12:
When dividing 530 by 97, we get 5 with a remainder of 45.
The number 5 becomes the next digit in our result. 
Result so far: 1177.350515
If we take 485 away from 530, we end up with 45.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 13:
450 divided by 97 is 4 with a remainder of 62.
Put 4 as the next digit of the answer. 
Result so far: 1177.3505154
Subtract 388 from 450 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Advancing to step 14:
If we divide 620 by 97, we get 6 and a remainder of 38.
Record the quotient 6 as the next digit in the result. 
Result so far: 1177.35051546
The remainder is 38 after subtracting 582 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

The final outcome is 1177.35051546, with a leftover of 3.8e-08.