We look at the division of 953187 by 97 
We want to divide 953187 by 97.

Step 1:
The number 97 fits into 9 0 times, leaving a remainder of 9.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 9 and we're left with 9.
Include the next digit (5) from the dividend after 9, then repeat: 95 / 97

Advancing to step 2:
97 can be fit into 95 0 times, resulting in a remainder of 95.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 95 after subtracting 0 from 95.
Fetch the next digit (3) from the dividend, attach it to 95 and continue: 953 / 97

Going ahead to step 3:
When dividing 953 by 97, we get 9 with a remainder of 80.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
If we take 873 away from 953, we end up with 80.
Include the next digit (1) from the dividend after 80, then repeat: 801 / 97

Advancing to step 4:
When dividing 801 by 97, we get 8 with a remainder of 25.
Use 8 as the next digit of our solution. 
Result so far: 98.0
Deduct 776 from 801 and we're left with 25.
Take the next digit (8) from the dividend and append it to 25, then repeat: 258 / 97

Let's proceed to step 5:
The number 97 fits into 258 2 times, leaving a remainder of 64.
Put 2 as the next digit of the answer. 
Result so far: 982.0
If we take 194 away from 258, we end up with 64.
Append the next digit (7) from the dividend to 64 and continue with: 647 / 97

Step 6:
97 can be fit into 647 6 times, resulting in a remainder of 65.
The number 6 becomes the next digit in our result. 
Result so far: 9826.0
Deduct 582 from 647 and we're left with 65.
Since there are no more digits in the dividend, we add a zero to the remainder making it 650, and continue the process.

Step 7:
The number 97 fits into 650 6 times, leaving a remainder of 68.
The number 6 becomes the next digit in our result. 
Result so far: 9826.6
If we take 582 away from 650, we end up with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Advancing to step 8:
If we divide 680 by 97, we get 7 and a remainder of 1.
Use 7 as the next digit of our solution. 
Result so far: 9826.67
If we take 679 away from 680, we end up with 1.
Since there are no more digits in the dividend, we add a zero to the remainder making it 10, and continue the process.

Moving on to step 9:
The number 97 fits into 10 0 times, leaving a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 9826.67
The remainder is 10 after subtracting 0 from 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Moving on to step 10:
97 goes into 100 1 times with a remainder of 3.
The next digit of our result is 1. 
Result so far: 9826.6701
If we take 97 away from 100, we end up with 3.
Since there are no more digits in the dividend, we add a zero to the remainder making it 30, and continue the process.

Going ahead to step 11:
30 divided by 97 is 0 with a remainder of 30.
The number 0 becomes the next digit in our result. 
Result so far: 9826.6701
Subtracting 0 from 30 leaves us with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 12:
When dividing 300 by 97, we get 3 with a remainder of 9.
Record the quotient 3 as the next digit in the result. 
Result so far: 9826.670103
If we subtract 291 from 300, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

On to step 13:
90 divided by 97 is 0 with a remainder of 90.
The next digit of our result is 0. 
Result so far: 9826.670103
Subtracting 0 from 90 leaves us with 90.
Since there are no more digits in the dividend, we add a zero to the remainder making it 900, and continue the process.

Going ahead to step 14:
900 divided by 97 is 9 with a remainder of 27.
The next digit of our result is 9. 
Result so far: 9826.67010309
Subtract 873 from 900 to get 27.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Our division results in 9826.67010309 with a remaining 2.7e-08.