Let's divide 174126 by 97
We want to divide 174126 by 97.

Going ahead to step 1:
If we divide 1 by 97, we get 0 and a remainder of 1.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 97

Advancing to step 2:
97 goes into 17 0 times with a remainder of 17.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
The remainder is 17 after subtracting 0 from 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 97

Moving on to step 3:
The number 97 fits into 174 1 times, leaving a remainder of 77.
Write down 1 as next digit of the result. 
Result so far: 1.0
If we subtract 97 from 174, we get 77.
Bring next digit (1) of the dividend behind the 77 and repeat the process: 771 / 97

Going ahead to step 4:
The number 97 fits into 771 7 times, leaving a remainder of 92.
Use 7 as the next digit of our solution. 
Result so far: 17.0
Subtract 679 from 771 to get 92.
Grab the next digit (2) from the dividend, add it to 92, then carry on: 922 / 97

Step 5:
If we divide 922 by 97, we get 9 and a remainder of 49.
Write down 9 as next digit of the result. 
Result so far: 179.0
If we take 873 away from 922, we end up with 49.
Fetch the next digit (6) from the dividend, attach it to 49 and continue: 496 / 97

Let's proceed to step 6:
496 divided by 97 is 5 with a remainder of 11.
Use 5 as the next digit of our solution. 
Result so far: 1795.0
The remainder is 11 after subtracting 485 from 496.
Since there are no more digits in the dividend, we add a zero to the remainder making it 110, and continue the process.

Moving on to step 7:
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: 1795.1
Subtract 97 from 110 to get 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 8:
97 can be fit into 130 1 times, resulting in a remainder of 33.
Write down 1 as next digit of the result. 
Result so far: 1795.11
If we subtract 97 from 130, we get 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

After the division, we end up with 1795.11 and a remainder of 0.033.