We're dividing 35975689 by 66 
We're looking to find how many times 66 goes into 35975689.

Moving on to step 1:
3 divided by 66 is 0 with a remainder of 3.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 3 to get 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 66

Going ahead to step 2:
66 can be fit into 35 0 times, resulting in a remainder of 35.
Write down 0 as next digit of the result. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Fetch the next digit (9) from the dividend, attach it to 35 and continue: 359 / 66

Going ahead to step 3:
When dividing 359 by 66, we get 5 with a remainder of 29.
Put 5 as the next digit of the answer. 
Result so far: 5.0
Subtracting 330 from 359 leaves us with 29.
Fetch the next digit (7) from the dividend, attach it to 29 and continue: 297 / 66

Moving on to step 4:
If we divide 297 by 66, we get 4 and a remainder of 33.
Put 4 as the next digit of the answer. 
Result so far: 54.0
Deduct 264 from 297 and we're left with 33.
Bring next digit (5) of the dividend behind the 33 and repeat the process: 335 / 66

Moving on to step 5:
335 divided by 66 is 5 with a remainder of 5.
Record the quotient 5 as the next digit in the result. 
Result so far: 545.0
Deduct 330 from 335 and we're left with 5.
Grab the next digit (6) from the dividend, add it to 5, then carry on: 56 / 66

Step 6:
When dividing 56 by 66, we get 0 with a remainder of 56.
Put 0 as the next digit of the answer. 
Result so far: 5450.0
If we take 0 away from 56, we end up with 56.
Take the next digit (8) from the dividend and append it to 56, then repeat: 568 / 66

Step 7:
The number 66 fits into 568 8 times, leaving a remainder of 40.
The next digit of our result is 8. 
Result so far: 54508.0
Subtracting 528 from 568 leaves us with 40.
Include the next digit (9) from the dividend after 40, then repeat: 409 / 66

Going ahead to step 8:
66 goes into 409 6 times with a remainder of 13.
Record the quotient 6 as the next digit in the result. 
Result so far: 545086.0
Deduct 396 from 409 and we're left with 13.
Since there are no more digits in the dividend, we add a zero to the remainder making it 130, and continue the process.

Let's proceed to step 9:
66 goes into 130 1 times with a remainder of 64.
Put 1 as the next digit of the answer. 
Result so far: 545086.1
If we take 66 away from 130, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 10:
640 divided by 66 is 9 with a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 545086.19
Subtracting 594 from 640 leaves us with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 11:
66 goes into 460 6 times with a remainder of 64.
The next digit of our result is 6. 
Result so far: 545086.196
If we take 396 away from 460, we end up with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Moving on to step 12:
66 can be fit into 640 9 times, resulting in a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 545086.1969
Deduct 594 from 640 and we're left with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Step 13:
When dividing 460 by 66, we get 6 with a remainder of 64.
Put 6 as the next digit of the answer. 
Result so far: 545086.19696
If we subtract 396 from 460, we get 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

On to step 14:
The number 66 fits into 640 9 times, leaving a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 545086.196969
The remainder is 46 after subtracting 594 from 640.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Going ahead to step 15:
If we divide 460 by 66, we get 6 and a remainder of 64.
Use 6 as the next digit of our solution. 
Result so far: 545086.1969696
Subtracting 396 from 460 leaves us with 64.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Let's proceed to step 16:
66 goes into 640 9 times with a remainder of 46.
The next digit of our result is 9. 
Result so far: 545086.19696969
If we take 594 away from 640, we end up with 46.
Since there are no more digits in the dividend, we add a zero to the remainder making it 460, and continue the process.

Our division results in 545086.19696969 with a remaining 4.6e-08.