66901 ÷ 93 
Our goal is to divide 66901 by 93.

On to step 1:
When dividing 6 by 93, we get 0 with a remainder of 6.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Subtract 0 from 6 to get 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 93

Going ahead to step 2:
The number 93 fits into 66 0 times, leaving a remainder of 66.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
If we take 0 away from 66, we end up with 66.
Bring next digit (9) of the dividend behind the 66 and repeat the process: 669 / 93

Moving on to step 3:
If we divide 669 by 93, we get 7 and a remainder of 18.
Use 7 as the next digit of our solution. 
Result so far: 7.0
Subtract 651 from 669 to get 18.
Fetch the next digit (0) from the dividend, attach it to 18 and continue: 180 / 93

Step 4:
If we divide 180 by 93, we get 1 and a remainder of 87.
The number 1 becomes the next digit in our result. 
Result so far: 71.0
The remainder is 87 after subtracting 93 from 180.
Append the next digit (1) from the dividend to 87 and continue with: 871 / 93

Going ahead to step 5:
If we divide 871 by 93, we get 9 and a remainder of 34.
The number 9 becomes the next digit in our result. 
Result so far: 719.0
Subtracting 837 from 871 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 6:
The number 93 fits into 340 3 times, leaving a remainder of 61.
Write down 3 as next digit of the result. 
Result so far: 719.3
The remainder is 61 after subtracting 279 from 340.
Since there are no more digits in the dividend, we add a zero to the remainder making it 610, and continue the process.

Going ahead to step 7:
93 can be fit into 610 6 times, resulting in a remainder of 52.
Use 6 as the next digit of our solution. 
Result so far: 719.36
Subtract 558 from 610 to get 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 8:
When dividing 520 by 93, we get 5 with a remainder of 55.
Record the quotient 5 as the next digit in the result. 
Result so far: 719.365
Subtracting 465 from 520 leaves us with 55.
Since there are no more digits in the dividend, we add a zero to the remainder making it 550, and continue the process.

Let's proceed to step 9:
550 divided by 93 is 5 with a remainder of 85.
Put 5 as the next digit of the answer. 
Result so far: 719.3655
The remainder is 85 after subtracting 465 from 550.
Since there are no more digits in the dividend, we add a zero to the remainder making it 850, and continue the process.

The quotient of the division is 719.3655, and the remainder is 0.00085.