163765 ÷ 97 
We want to figure out the number of times 163765 can be divided by 97.

On to step 1:
When dividing 1 by 97, we get 0 with 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.
Append the next digit (6) from the dividend to 1 and continue with: 16 / 97

Step 2:
When dividing 16 by 97, we get 0 with a remainder of 16.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Subtracting 0 from 16 leaves us with 16.
Fetch the next digit (3) from the dividend, attach it to 16 and continue: 163 / 97

On to step 3:
163 divided by 97 is 1 with a remainder of 66.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Subtract 97 from 163 to get 66.
Take the next digit (7) from the dividend and append it to 66, then repeat: 667 / 97

Going ahead to step 4:
667 divided by 97 is 6 with a remainder of 85.
Put 6 as the next digit of the answer. 
Result so far: 16.0
Deduct 582 from 667 and we're left with 85.
Take the next digit (6) from the dividend and append it to 85, then repeat: 856 / 97

Moving on to step 5:
97 goes into 856 8 times with a remainder of 80.
Write down 8 as next digit of the result. 
Result so far: 168.0
Subtract 776 from 856 to get 80.
Append the next digit (5) from the dividend to 80 and continue with: 805 / 97

On to step 6:
97 goes into 805 8 times with a remainder of 29.
Use 8 as the next digit of our solution. 
Result so far: 1688.0
If we subtract 776 from 805, we get 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Let's proceed to step 7:
The number 97 fits into 290 2 times, leaving a remainder of 96.
The number 2 becomes the next digit in our result. 
Result so far: 1688.2
If we take 194 away from 290, we end up with 96.
Since there are no more digits in the dividend, we add a zero to the remainder making it 960, and continue the process.

Advancing to step 8:
If we divide 960 by 97, we get 9 and a remainder of 87.
Write down 9 as next digit of the result. 
Result so far: 1688.29
If we subtract 873 from 960, we get 87.
Since there are no more digits in the dividend, we add a zero to the remainder making it 870, and continue the process.

Moving on to step 9:
The number 97 fits into 870 8 times, leaving a remainder of 94.
Put 8 as the next digit of the answer. 
Result so far: 1688.298
The remainder is 94 after subtracting 776 from 870.
Since there are no more digits in the dividend, we add a zero to the remainder making it 940, and continue the process.

Moving on to step 10:
If we divide 940 by 97, we get 9 and a remainder of 67.
The number 9 becomes the next digit in our result. 
Result so far: 1688.2989
Subtracting 873 from 940 leaves us with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Moving on to step 11:
If we divide 670 by 97, we get 6 and a remainder of 88.
Use 6 as the next digit of our solution. 
Result so far: 1688.29896
If we subtract 582 from 670, we get 88.
Since there are no more digits in the dividend, we add a zero to the remainder making it 880, and continue the process.

On to step 12:
880 divided by 97 is 9 with a remainder of 7.
Put 9 as the next digit of the answer. 
Result so far: 1688.298969
If we subtract 873 from 880, we get 7.
Since there are no more digits in the dividend, we add a zero to the remainder making it 70, and continue the process.

Advancing to step 13:
If we divide 70 by 97, we get 0 and a remainder of 70.
The number 0 becomes the next digit in our result. 
Result so far: 1688.298969
If we take 0 away from 70, we end up with 70.
Since there are no more digits in the dividend, we add a zero to the remainder making it 700, and continue the process.

On to step 14:
700 divided by 97 is 7 with a remainder of 21.
Record the quotient 7 as the next digit in the result. 
Result so far: 1688.29896907
Deduct 679 from 700 and we're left with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

The quotient of the division is 1688.29896907, and the remainder is 2.1e-08.