We look at the division of 101791 by 86 
We want to divide 101791 by 86.

Let's proceed to step 1:
The number 86 fits into 1 0 times, leaving a remainder of 1.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 1 to get 1.
Bring next digit (0) of the dividend behind the 1 and repeat the process: 10 / 86

Advancing to step 2:
86 can be fit into 10 0 times, resulting in a remainder of 10.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtracting 0 from 10 leaves us with 10.
Take the next digit (1) from the dividend and append it to 10, then repeat: 101 / 86

Advancing to step 3:
If we divide 101 by 86, we get 1 and a remainder of 15.
The next digit of our result is 1. 
Result so far: 1.0
The remainder is 15 after subtracting 86 from 101.
Fetch the next digit (7) from the dividend, attach it to 15 and continue: 157 / 86

Going ahead to step 4:
86 can be fit into 157 1 times, resulting in a remainder of 71.
The next digit of our result is 1. 
Result so far: 11.0
Deduct 86 from 157 and we're left with 71.
Append the next digit (9) from the dividend to 71 and continue with: 719 / 86

Advancing to step 5:
When dividing 719 by 86, we get 8 with a remainder of 31.
Record the quotient 8 as the next digit in the result. 
Result so far: 118.0
Deduct 688 from 719 and we're left with 31.
Fetch the next digit (1) from the dividend, attach it to 31 and continue: 311 / 86

Let's proceed to step 6:
86 goes into 311 3 times with a remainder of 53.
Put 3 as the next digit of the answer. 
Result so far: 1183.0
The remainder is 53 after subtracting 258 from 311.
Since there are no more digits in the dividend, we add a zero to the remainder making it 530, and continue the process.

Step 7:
86 can be fit into 530 6 times, resulting in a remainder of 14.
Write down 6 as next digit of the result. 
Result so far: 1183.6
The remainder is 14 after subtracting 516 from 530.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Going ahead to step 8:
140 divided by 86 is 1 with a remainder of 54.
Write down 1 as next digit of the result. 
Result so far: 1183.61
Subtract 86 from 140 to get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Going ahead to step 9:
The number 86 fits into 540 6 times, leaving a remainder of 24.
The number 6 becomes the next digit in our result. 
Result so far: 1183.616
The remainder is 24 after subtracting 516 from 540.
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 10:
If we divide 240 by 86, we get 2 and a remainder of 68.
The next digit of our result is 2. 
Result so far: 1183.6162
The remainder is 68 after subtracting 172 from 240.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Let's proceed to step 11:
The number 86 fits into 680 7 times, leaving a remainder of 78.
Use 7 as the next digit of our solution. 
Result so far: 1183.61627
Subtract 602 from 680 to get 78.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

Step 12:
86 can be fit into 780 9 times, resulting in a remainder of 6.
Use 9 as the next digit of our solution. 
Result so far: 1183.616279
Subtracting 774 from 780 leaves us with 6.
Since there are no more digits in the dividend, we add a zero to the remainder making it 60, and continue the process.

Step 13:
When dividing 60 by 86, we get 0 with a remainder of 60.
Put 0 as the next digit of the answer. 
Result so far: 1183.616279
Deduct 0 from 60 and we're left with 60.
Since there are no more digits in the dividend, we add a zero to the remainder making it 600, and continue the process.

Step 14:
The number 86 fits into 600 6 times, leaving a remainder of 84.
The next digit of our result is 6. 
Result so far: 1183.61627906
Subtract 516 from 600 to get 84.
Since there are no more digits in the dividend, we add a zero to the remainder making it 840, and continue the process.

The final outcome is 1183.61627906, with a leftover of 8.4e-08.