We look at the division of 135764 by 97 
Our goal is to divide 135764 by 97.

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
Deduct 0 from 1 and we're left with 1.
Grab the next digit (3) from the dividend, add it to 1, then carry on: 13 / 97

Let's proceed to step 2:
97 can be fit into 13 0 times, resulting in a remainder of 13.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 13 after subtracting 0 from 13.
Bring next digit (5) of the dividend behind the 13 and repeat the process: 135 / 97

Going ahead to step 3:
97 goes into 135 1 times with a remainder of 38.
Put 1 as the next digit of the answer. 
Result so far: 1.0
The remainder is 38 after subtracting 97 from 135.
Include the next digit (7) from the dividend after 38, then repeat: 387 / 97

Going ahead to step 4:
387 divided by 97 is 3 with a remainder of 96.
Record the quotient 3 as the next digit in the result. 
Result so far: 13.0
The remainder is 96 after subtracting 291 from 387.
Take the next digit (6) from the dividend and append it to 96, then repeat: 966 / 97

Advancing to step 5:
97 can be fit into 966 9 times, resulting in a remainder of 93.
Record the quotient 9 as the next digit in the result. 
Result so far: 139.0
Deduct 873 from 966 and we're left with 93.
Fetch the next digit (4) from the dividend, attach it to 93 and continue: 934 / 97

Let's proceed to step 6:
When dividing 934 by 97, we get 9 with a remainder of 61.
The next digit of our result is 9. 
Result so far: 1399.0
The remainder is 61 after subtracting 873 from 934.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

On to step 7:
610 divided by 97 is 6 with a remainder of 28.
The number 6 becomes the next digit in our result. 
Result so far: 1399.6
Subtract 582 from 610 to get 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 8:
97 goes into 280 2 times with a remainder of 86.
Record the quotient 2 as the next digit in the result. 
Result so far: 1399.62
If we subtract 194 from 280, we get 86.
Since there are no more digits in the dividend, we add a zero to the remainder making it 860, and continue the process.

Let's proceed to step 9:
The number 97 fits into 860 8 times, leaving a remainder of 84.
Record the quotient 8 as the next digit in the result. 
Result so far: 1399.628
The remainder is 84 after subtracting 776 from 860.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

Going ahead to step 10:
97 can be fit into 840 8 times, resulting in a remainder of 64.
The next digit of our result is 8. 
Result so far: 1399.6288
Deduct 776 from 840 and we're left with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

The final result is 1399.6288 with a remainder of 0.00064.