We look at the division of 33101 by 97 
We want to divide 33101 by 97.

Moving on to step 1:
If we divide 3 by 97, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Grab the next digit (3) from the dividend, add it to 3, then carry on: 33 / 97

On to step 2:
33 divided by 97 is 0 with a remainder of 33.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 33 and we're left with 33.
Bring next digit (1) of the dividend behind the 33 and repeat the process: 331 / 97

Moving on to step 3:
The number 97 fits into 331 3 times, leaving a remainder of 40.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 291 away from 331, we end up with 40.
Take the next digit (0) from the dividend and append it to 40, then repeat: 400 / 97

Step 4:
400 divided by 97 is 4 with a remainder of 12.
The number 4 becomes the next digit in our result. 
Result so far: 34.0
If we subtract 388 from 400, we get 12.
Take the next digit (1) from the dividend and append it to 12, then repeat: 121 / 97

Going ahead to step 5:
121 divided by 97 is 1 with a remainder of 24.
Write down 1 as next digit of the result. 
Result so far: 341.0
Subtracting 97 from 121 leaves us with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

On to step 6:
97 goes into 240 2 times with a remainder of 46.
Record the quotient 2 as the next digit in the result. 
Result so far: 341.2
If we take 194 away from 240, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Moving on to step 7:
If we divide 460 by 97, we get 4 and a remainder of 72.
The number 4 becomes the next digit in our result. 
Result so far: 341.24
Subtracting 388 from 460 leaves us with 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Step 8:
97 goes into 720 7 times with a remainder of 41.
Record the quotient 7 as the next digit in the result. 
Result so far: 341.247
If we take 679 away from 720, we end up with 41.
Since there are no more digits in the dividend, we add a zero to the remainder making it 410, and continue the process.

Moving on to step 9:
410 divided by 97 is 4 with a remainder of 22.
Use 4 as the next digit of our solution. 
Result so far: 341.2474
The remainder is 22 after subtracting 388 from 410.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

On to step 10:
If we divide 220 by 97, we get 2 and a remainder of 26.
Record the quotient 2 as the next digit in the result. 
Result so far: 341.24742
The remainder is 26 after subtracting 194 from 220.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 11:
The number 97 fits into 260 2 times, leaving a remainder of 66.
Record the quotient 2 as the next digit in the result. 
Result so far: 341.247422
If we take 194 away from 260, we end up with 66.
Since there are no more digits in the dividend, we add a zero to the remainder making it 660, and continue the process.

The final outcome is 341.247422, with a leftover of 6.6e-06.