We look at the division of 75153 by 97 
Our goal is to divide 75153 by 97.

On to step 1:
When dividing 7 by 97, we get 0 with a remainder of 7.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 7 leaves us with 7.
Bring next digit (5) of the dividend behind the 7 and repeat the process: 75 / 97

On to step 2:
97 can be fit into 75 0 times, resulting in a remainder of 75.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 75 to get 75.
Bring next digit (1) of the dividend behind the 75 and repeat the process: 751 / 97

Step 3:
97 goes into 751 7 times with a remainder of 72.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
Subtracting 679 from 751 leaves us with 72.
Fetch the next digit (5) from the dividend, attach it to 72 and continue: 725 / 97

On to step 4:
If we divide 725 by 97, we get 7 and a remainder of 46.
Put 7 as the next digit of the answer. 
Result so far: 77.0
If we take 679 away from 725, we end up with 46.
Bring next digit (3) of the dividend behind the 46 and repeat the process: 463 / 97

Let's proceed to step 5:
If we divide 463 by 97, we get 4 and a remainder of 75.
Record the quotient 4 as the next digit in the result. 
Result so far: 774.0
If we take 388 away from 463, we end up with 75.
Since there are no more digits in the dividend, we add a zero to the remainder making it 750, and continue the process.

Advancing to step 6:
If we divide 750 by 97, we get 7 and a remainder of 71.
The next digit of our result is 7. 
Result so far: 774.7
If we subtract 679 from 750, we get 71.
Since there are no more digits in the dividend, we add a zero to the remainder making it 710, and continue the process.

Going ahead to step 7:
If we divide 710 by 97, we get 7 and a remainder of 31.
Use 7 as the next digit of our solution. 
Result so far: 774.77
Deduct 679 from 710 and we're left with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Our division results in 774.77 with a remaining 0.031.