96610365 ÷ 101 
We want to figure out the number of times 96610365 can be divided by 101.

Step 1:
101 goes into 9 0 times with a remainder of 9.
The next digit of our result is 0. 
Result so far: 0.0
If we subtract 0 from 9, we get 9.
Grab the next digit (6) from the dividend, add it to 9, then carry on: 96 / 101

On to step 2:
101 can be fit into 96 0 times, resulting in a remainder of 96.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 96 leaves us with 96.
Grab the next digit (6) from the dividend, add it to 96, then carry on: 966 / 101

Moving on to step 3:
The number 101 fits into 966 9 times, leaving a remainder of 57.
Record the quotient 9 as the next digit in the result. 
Result so far: 9.0
The remainder is 57 after subtracting 909 from 966.
Take the next digit (1) from the dividend and append it to 57, then repeat: 571 / 101

Advancing to step 4:
571 divided by 101 is 5 with a remainder of 66.
Use 5 as the next digit of our solution. 
Result so far: 95.0
Deduct 505 from 571 and we're left with 66.
Append the next digit (0) from the dividend to 66 and continue with: 660 / 101

Moving on to step 5:
When dividing 660 by 101, we get 6 with a remainder of 54.
The number 6 becomes the next digit in our result. 
Result so far: 956.0
Subtract 606 from 660 to get 54.
Bring next digit (3) of the dividend behind the 54 and repeat the process: 543 / 101

Step 6:
The number 101 fits into 543 5 times, leaving a remainder of 38.
The number 5 becomes the next digit in our result. 
Result so far: 9565.0
Deduct 505 from 543 and we're left with 38.
Append the next digit (6) from the dividend to 38 and continue with: 386 / 101

Advancing to step 7:
101 can be fit into 386 3 times, resulting in a remainder of 83.
Use 3 as the next digit of our solution. 
Result so far: 95653.0
Deduct 303 from 386 and we're left with 83.
Grab the next digit (5) from the dividend, add it to 83, then carry on: 835 / 101

On to step 8:
When dividing 835 by 101, we get 8 with a remainder of 27.
Put 8 as the next digit of the answer. 
Result so far: 956538.0
The remainder is 27 after subtracting 808 from 835.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

Going ahead to step 9:
When dividing 270 by 101, we get 2 with a remainder of 68.
Put 2 as the next digit of the answer. 
Result so far: 956538.2
Subtract 202 from 270 to get 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 10:
101 goes into 680 6 times with a remainder of 74.
Use 6 as the next digit of our solution. 
Result so far: 956538.26
Deduct 606 from 680 and we're left with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Let's proceed to step 11:
101 goes into 740 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 956538.267
Subtracting 707 from 740 leaves us with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Let's proceed to step 12:
101 goes into 330 3 times with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 956538.2673
Subtract 303 from 330 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.

Step 13:
270 divided by 101 is 2 with a remainder of 68.
Write down 2 as next digit of the result. 
Result so far: 956538.26732
Deduct 202 from 270 and we're left 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.

Step 14:
The number 101 fits into 680 6 times, leaving a remainder of 74.
The number 6 becomes the next digit in our result. 
Result so far: 956538.267326
If we take 606 away from 680, we end up with 74.
Since there are no more digits in the dividend, we add a zero to the remainder making it 740, and continue the process.

Step 15:
101 goes into 740 7 times with a remainder of 33.
Put 7 as the next digit of the answer. 
Result so far: 956538.2673267
If we take 707 away from 740, we end up with 33.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

Step 16:
330 divided by 101 is 3 with a remainder of 27.
Put 3 as the next digit of the answer. 
Result so far: 956538.26732673
The remainder is 27 after subtracting 303 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 270, and continue the process.

In conclusion, the division gives 956538.26732673 with a balance of 2.7e-08.