We're dividing 66666 by 35 
We want to figure out the number of times 66666 can be divided by 35.

On to step 1:
If we divide 6 by 35, we get 0 and a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 6 and we're left with 6.
Bring next digit (6) of the dividend behind the 6 and repeat the process: 66 / 35

Step 2:
35 goes into 66 1 times with a remainder of 31.
Use 1 as the next digit of our solution. 
Result so far: 1.0
If we subtract 35 from 66, we get 31.
Take the next digit (6) from the dividend and append it to 31, then repeat: 316 / 35

Moving on to step 3:
316 divided by 35 is 9 with a remainder of 1.
The next digit of our result is 9. 
Result so far: 19.0
The remainder is 1 after subtracting 315 from 316.
Grab the next digit (6) from the dividend, add it to 1, then carry on: 16 / 35

Going ahead to step 4:
35 can be fit into 16 0 times, resulting in a remainder of 16.
Use 0 as the next digit of our solution. 
Result so far: 190.0
Subtracting 0 from 16 leaves us with 16.
Fetch the next digit (6) from the dividend, attach it to 16 and continue: 166 / 35

Moving on to step 5:
35 can be fit into 166 4 times, resulting in a remainder of 26.
Use 4 as the next digit of our solution. 
Result so far: 1904.0
Subtract 140 from 166 to get 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Step 6:
260 divided by 35 is 7 with a remainder of 15.
The next digit of our result is 7. 
Result so far: 1904.7
Deduct 245 from 260 and we're left with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 7:
When dividing 150 by 35, we get 4 with a remainder of 10.
The next digit of our result is 4. 
Result so far: 1904.74
The remainder is 10 after subtracting 140 from 150.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Going ahead to step 8:
100 divided by 35 is 2 with a remainder of 30.
Write down 2 as next digit of the result. 
Result so far: 1904.742
Deduct 70 from 100 and we're left with 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

Going ahead to step 9:
300 divided by 35 is 8 with a remainder of 20.
Put 8 as the next digit of the answer. 
Result so far: 1904.7428
Subtracting 280 from 300 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Going ahead to step 10:
The number 35 fits into 200 5 times, leaving a remainder of 25.
Record the quotient 5 as the next digit in the result. 
Result so far: 1904.74285
If we subtract 175 from 200, we get 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Let's proceed to step 11:
When dividing 250 by 35, we get 7 with a remainder of 5.
Record the quotient 7 as the next digit in the result. 
Result so far: 1904.742857
Deduct 245 from 250 and we're left with 5.
Since there are no more digits in the dividend, we add a zero to the remainder making it 50, and continue the process.

Step 12:
When dividing 50 by 35, we get 1 with a remainder of 15.
Put 1 as the next digit of the answer. 
Result so far: 1904.7428571
Subtract 35 from 50 to get 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Going ahead to step 13:
35 goes into 150 4 times with a remainder of 10.
The number 4 becomes the next digit in our result. 
Result so far: 1904.74285714
Subtracting 140 from 150 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

The quotient of the division is 1904.74285714, and the remainder is 1e-08.