Let's divide 171511 by 659
We're looking to find how many times 659 goes into 171511.

On to step 1:
The number 659 fits into 1 0 times, leaving a remainder of 1.
Put 0 as the next digit of the answer. 
Result so far: 0.0
The remainder is 1 after subtracting 0 from 1.
Take the next digit (7) from the dividend and append it to 1, then repeat: 17 / 659

Going ahead to step 2:
The number 659 fits into 17 0 times, leaving 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.
Grab the next digit (1) from the dividend, add it to 17, then carry on: 171 / 659

Advancing to step 3:
171 divided by 659 is 0 with a remainder of 171.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 171 to get 171.
Append the next digit (5) from the dividend to 171 and continue with: 1715 / 659

On to step 4:
When dividing 1715 by 659, we get 2 with a remainder of 397.
Use 2 as the next digit of our solution. 
Result so far: 2.0
Subtracting 1318 from 1715 leaves us with 397.
Append the next digit (1) from the dividend to 397 and continue with: 3971 / 659

Advancing to step 5:
659 can be fit into 3971 6 times, resulting in a remainder of 17.
Write down 6 as next digit of the result. 
Result so far: 26.0
Subtract 3954 from 3971 to get 17.
Bring next digit (1) of the dividend behind the 17 and repeat the process: 171 / 659

On to step 6:
If we divide 171 by 659, we get 0 and a remainder of 171.
Write down 0 as next digit of the result. 
Result so far: 260.0
The remainder is 171 after subtracting 0 from 171.
Since there are no more digits in the dividend, we add a zero to the remainder making it 1710, and continue the process.

Step 7:
659 goes into 1710 2 times with a remainder of 392.
Use 2 as the next digit of our solution. 
Result so far: 260.2
If we take 1318 away from 1710, we end up with 392.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3920, and continue the process.

Step 8:
If we divide 3920 by 659, we get 5 and a remainder of 625.
Record the quotient 5 as the next digit in the result. 
Result so far: 260.25
Subtracting 3295 from 3920 leaves us with 625.
Since there are no more digits in the dividend, we add a zero to the remainder making it 6250, and continue the process.

On to step 9:
When dividing 6250 by 659, we get 9 with a remainder of 319.
The next digit of our result is 9. 
Result so far: 260.259
Deduct 5931 from 6250 and we're left with 319.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3190, and continue the process.

Going ahead to step 10:
659 goes into 3190 4 times with a remainder of 554.
The next digit of our result is 4. 
Result so far: 260.2594
If we subtract 2636 from 3190, we get 554.
Since there are no more digits in the dividend, we add a zero to the remainder making it 5540, and continue the process.

On to step 11:
The number 659 fits into 5540 8 times, leaving a remainder of 268.
Put 8 as the next digit of the answer. 
Result so far: 260.25948
The remainder is 268 after subtracting 5272 from 5540.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2680, and continue the process.

Let's proceed to step 12:
If we divide 2680 by 659, we get 4 and a remainder of 44.
Record the quotient 4 as the next digit in the result. 
Result so far: 260.259484
Deduct 2636 from 2680 and we're left with 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Let's proceed to step 13:
659 can be fit into 440 0 times, resulting in a remainder of 440.
The next digit of our result is 0. 
Result so far: 260.259484
Subtract 0 from 440 to get 440.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4400, and continue the process.

Step 14:
When dividing 4400 by 659, we get 6 with a remainder of 446.
Record the quotient 6 as the next digit in the result. 
Result so far: 260.25948406
Subtract 3954 from 4400 to get 446.
Since there are no more digits in the dividend, we add a zero to the remainder making it 4460, and continue the process.

The final result is 260.25948406 with a remainder of 4.46e-07.