66201 ÷ 86 
We're looking to find how many times 86 goes into 66201.

Advancing to step 1:
If we divide 6 by 86, we get 0 and a remainder of 6.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Fetch the next digit (6) from the dividend, attach it to 6 and continue: 66 / 86

On to step 2:
If we divide 66 by 86, we get 0 and a remainder of 66.
The next digit of our result is 0. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Fetch the next digit (2) from the dividend, attach it to 66 and continue: 662 / 86

Moving on to step 3:
86 goes into 662 7 times with a remainder of 60.
The number 7 becomes the next digit in our result. 
Result so far: 7.0
The remainder is 60 after subtracting 602 from 662.
Append the next digit (0) from the dividend to 60 and continue with: 600 / 86

On to step 4:
86 goes into 600 6 times with a remainder of 84.
The next digit of our result is 6. 
Result so far: 76.0
Subtracting 516 from 600 leaves us with 84.
Bring next digit (1) of the dividend behind the 84 and repeat the process: 841 / 86

Let's proceed to step 5:
The number 86 fits into 841 9 times, leaving a remainder of 67.
Write down 9 as next digit of the result. 
Result so far: 769.0
Deduct 774 from 841 and we're left with 67.
Since there are no more digits in the dividend, we add a zero to the remainder making it 670, and continue the process.

Going ahead to step 6:
When dividing 670 by 86, we get 7 with a remainder of 68.
Record the quotient 7 as the next digit in the result. 
Result so far: 769.7
Subtracting 602 from 670 leaves us with 68.
Since there are no more digits in the dividend, we add a zero to the remainder making it 680, and continue the process.

Moving on to step 7:
The number 86 fits into 680 7 times, leaving a remainder of 78.
Record the quotient 7 as the next digit in the result. 
Result so far: 769.77
The remainder is 78 after subtracting 602 from 680.
Since there are no more digits in the dividend, we add a zero to the remainder making it 780, and continue the process.

The final outcome is 769.77, with a leftover of 0.078.