172176 divided by 65 
We want to figure out the number of times 172176 can be divided by 65.

Step 1:
When dividing 1 by 65, we get 0 with a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 1, we end up with 1.
Fetch the next digit (7) from the dividend, attach it to 1 and continue: 17 / 65

Step 2:
17 divided by 65 is 0 with a remainder of 17.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 17 leaves us with 17.
Bring next digit (2) of the dividend behind the 17 and repeat the process: 172 / 65

On to step 3:
65 can be fit into 172 2 times, resulting in a remainder of 42.
The next digit of our result is 2. 
Result so far: 2.0
Subtracting 130 from 172 leaves us with 42.
Bring next digit (1) of the dividend behind the 42 and repeat the process: 421 / 65

Advancing to step 4:
If we divide 421 by 65, we get 6 and a remainder of 31.
Use 6 as the next digit of our solution. 
Result so far: 26.0
Deduct 390 from 421 and we're left with 31.
Fetch the next digit (7) from the dividend, attach it to 31 and continue: 317 / 65

Moving on to step 5:
If we divide 317 by 65, we get 4 and a remainder of 57.
The next digit of our result is 4. 
Result so far: 264.0
Subtracting 260 from 317 leaves us with 57.
Grab the next digit (6) from the dividend, add it to 57, then carry on: 576 / 65

Advancing to step 6:
576 divided by 65 is 8 with a remainder of 56.
Use 8 as the next digit of our solution. 
Result so far: 2648.0
Subtract 520 from 576 to get 56.
Since there are no more digits in the dividend, we add a zero to the remainder making it 560, and continue the process.

Moving on to step 7:
The number 65 fits into 560 8 times, leaving a remainder of 40.
The number 8 becomes the next digit in our result. 
Result so far: 2648.8
Deduct 520 from 560 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Moving on to step 8:
65 goes into 400 6 times with a remainder of 10.
The next digit of our result is 6. 
Result so far: 2648.86
Subtracting 390 from 400 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 9:
65 can be fit into 100 1 times, resulting in a remainder of 35.
Record the quotient 1 as the next digit in the result. 
Result so far: 2648.861
If we subtract 65 from 100, we get 35.
Since there are no more digits in the dividend, we add a zero to the remainder making it 350, and continue the process.

Moving on to step 10:
If we divide 350 by 65, we get 5 and a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 2648.8615
Subtracting 325 from 350 leaves us with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Step 11:
If we divide 250 by 65, we get 3 and a remainder of 55.
The next digit of our result is 3. 
Result so far: 2648.86153
The remainder is 55 after subtracting 195 from 250.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Going ahead to step 12:
The number 65 fits into 550 8 times, leaving a remainder of 30.
Use 8 as the next digit of our solution. 
Result so far: 2648.861538
If we subtract 520 from 550, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Step 13:
If we divide 300 by 65, we get 4 and a remainder of 40.
The next digit of our result is 4. 
Result so far: 2648.8615384
Subtracting 260 from 300 leaves us with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

On to step 14:
If we divide 400 by 65, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 2648.86153846
Deduct 390 from 400 and we're left with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 2648.86153846, and the remainder is 1e-08.