We're dividing 171410 by 91 
Our goal is to divide 171410 by 91.

On to step 1:
The number 91 fits into 1 0 times, leaving a remainder of 1.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we subtract 0 from 1, we get 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 91

On to step 2:
When dividing 17 by 91, we get 0 with a remainder of 17.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we take 0 away from 17, we end up with 17.
Include the next digit (1) from the dividend after 17, then repeat: 171 / 91

Step 3:
When dividing 171 by 91, we get 1 with a remainder of 80.
Put 1 as the next digit of the answer. 
Result so far: 1.0
Deduct 91 from 171 and we're left with 80.
Include the next digit (4) from the dividend after 80, then repeat: 804 / 91

On to step 4:
If we divide 804 by 91, we get 8 and a remainder of 76.
Use 8 as the next digit of our solution. 
Result so far: 18.0
The remainder is 76 after subtracting 728 from 804.
Grab the next digit (1) from the dividend, add it to 76, then carry on: 761 / 91

Going ahead to step 5:
The number 91 fits into 761 8 times, leaving a remainder of 33.
Write down 8 as next digit of the result. 
Result so far: 188.0
Deduct 728 from 761 and we're left with 33.
Append the next digit (0) from the dividend to 33 and continue with: 330 / 91

Advancing to step 6:
When dividing 330 by 91, we get 3 with a remainder of 57.
Put 3 as the next digit of the answer. 
Result so far: 1883.0
If we take 273 away from 330, we end up with 57.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Let's proceed to step 7:
When dividing 570 by 91, we get 6 with a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1883.6
The remainder is 24 after subtracting 546 from 570.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Going ahead to step 8:
240 divided by 91 is 2 with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 1883.62
If we take 182 away from 240, we end up with 58.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

Moving on to step 9:
If we divide 580 by 91, we get 6 and a remainder of 34.
Write down 6 as next digit of the result. 
Result so far: 1883.626
Subtracting 546 from 580 leaves us with 34.
Since there are no more digits in the dividend, we add a zero to the remainder making it 340, and continue the process.

Moving on to step 10:
The number 91 fits into 340 3 times, leaving a remainder of 67.
Write down 3 as next digit of the result. 
Result so far: 1883.6263
If we subtract 273 from 340, we get 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Advancing to step 11:
91 goes into 670 7 times with a remainder of 33.
The next digit of our result is 7. 
Result so far: 1883.62637
The remainder is 33 after subtracting 637 from 670.
Since there are no more digits in the dividend, we add a zero to the remainder making it 330, and continue the process.

On to step 12:
When dividing 330 by 91, we get 3 with a remainder of 57.
Record the quotient 3 as the next digit in the result. 
Result so far: 1883.626373
The remainder is 57 after subtracting 273 from 330.
Since there are no more digits in the dividend, we add a zero to the remainder making it 570, and continue the process.

Moving on to step 13:
91 can be fit into 570 6 times, resulting in a remainder of 24.
Use 6 as the next digit of our solution. 
Result so far: 1883.6263736
Deduct 546 from 570 and we're left with 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Moving on to step 14:
When dividing 240 by 91, we get 2 with a remainder of 58.
Put 2 as the next digit of the answer. 
Result so far: 1883.62637362
The remainder is 58 after subtracting 182 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 580, and continue the process.

In conclusion, the division gives 1883.62637362 with a balance of 5.8e-08.