We look at the division of 501109 by 86 
We want to divide 501109 by 86.

Advancing to step 1:
86 goes into 5 0 times with a remainder of 5.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 5 and we're left with 5.
Bring next digit (0) of the dividend behind the 5 and repeat the process: 50 / 86

Going ahead to step 2:
If we divide 50 by 86, we get 0 and a remainder of 50.
The next digit of our result is 0. 
Result so far: 0.0
Deduct 0 from 50 and we're left with 50.
Grab the next digit (1) from the dividend, add it to 50, then carry on: 501 / 86

Let's proceed to step 3:
86 goes into 501 5 times with a remainder of 71.
The number 5 becomes the next digit in our result. 
Result so far: 5.0
Subtract 430 from 501 to get 71.
Grab the next digit (1) from the dividend, add it to 71, then carry on: 711 / 86

Step 4:
When dividing 711 by 86, we get 8 with a remainder of 23.
Record the quotient 8 as the next digit in the result. 
Result so far: 58.0
Deduct 688 from 711 and we're left with 23.
Include the next digit (0) from the dividend after 23, then repeat: 230 / 86

Advancing to step 5:
The number 86 fits into 230 2 times, leaving a remainder of 58.
The next digit of our result is 2. 
Result so far: 582.0
If we take 172 away from 230, we end up with 58.
Include the next digit (9) from the dividend after 58, then repeat: 589 / 86

Step 6:
When dividing 589 by 86, we get 6 with a remainder of 73.
Record the quotient 6 as the next digit in the result. 
Result so far: 5826.0
Deduct 516 from 589 and we're left with 73.
Since there are no more digits in the dividend, we add a zero to the remainder making it 730, and continue the process.

Going ahead to step 7:
When dividing 730 by 86, we get 8 with a remainder of 42.
Write down 8 as next digit of the result. 
Result so far: 5826.8
Deduct 688 from 730 and we're left with 42.
Since there are no more digits in the dividend, we add a zero to the remainder making it 420, and continue the process.

Let's proceed to step 8:
When dividing 420 by 86, we get 4 with a remainder of 76.
Record the quotient 4 as the next digit in the result. 
Result so far: 5826.84
The remainder is 76 after subtracting 344 from 420.
Since there are no more digits in the dividend, we add a zero to the remainder making it 760, and continue the process.

Moving on to step 9:
The number 86 fits into 760 8 times, leaving a remainder of 72.
The number 8 becomes the next digit in our result. 
Result so far: 5826.848
If we subtract 688 from 760, we get 72.
Since there are no more digits in the dividend, we add a zero to the remainder making it 720, and continue the process.

Advancing to step 10:
86 can be fit into 720 8 times, resulting in a remainder of 32.
Use 8 as the next digit of our solution. 
Result so far: 5826.8488
If we take 688 away from 720, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

The final result is 5826.8488 with a remainder of 0.00032.