We're dividing 35289 by 66 
We want to figure out the number of times 35289 can be divided by 66.

Moving on to step 1:
66 goes into 3 0 times with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Deduct 0 from 3 and we're left with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 66

Let's proceed to step 2:
66 goes into 35 0 times with a remainder of 35.
Put 0 as the next digit of the answer. 
Result so far: 0.0
Deduct 0 from 35 and we're left with 35.
Take the next digit (2) from the dividend and append it to 35, then repeat: 352 / 66

Let's proceed to step 3:
When dividing 352 by 66, we get 5 with a remainder of 22.
The next digit of our result is 5. 
Result so far: 5.0
If we take 330 away from 352, we end up with 22.
Bring next digit (8) of the dividend behind the 22 and repeat the process: 228 / 66

Let's proceed to step 4:
The number 66 fits into 228 3 times, leaving a remainder of 30.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Subtracting 198 from 228 leaves us with 30.
Append the next digit (9) from the dividend to 30 and continue with: 309 / 66

Advancing to step 5:
66 goes into 309 4 times with a remainder of 45.
Record the quotient 4 as the next digit in the result. 
Result so far: 534.0
The remainder is 45 after subtracting 264 from 309.
Since there are no more digits in the dividend, we add a zero to the remainder making it 450, and continue the process.

Going ahead to step 6:
The number 66 fits into 450 6 times, leaving a remainder of 54.
Write down 6 as next digit of the result. 
Result so far: 534.6
Subtracting 396 from 450 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Moving on to step 7:
66 goes into 540 8 times with a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 534.68
If we subtract 528 from 540, we get 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 8:
When dividing 120 by 66, we get 1 with a remainder of 54.
Put 1 as the next digit of the answer. 
Result so far: 534.681
The remainder is 54 after subtracting 66 from 120.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

On to step 9:
66 goes into 540 8 times with a remainder of 12.
Put 8 as the next digit of the answer. 
Result so far: 534.6818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Moving on to step 10:
66 goes into 120 1 times with a remainder of 54.
Record the quotient 1 as the next digit in the result. 
Result so far: 534.68181
Subtracting 66 from 120 leaves us with 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Step 11:
The number 66 fits into 540 8 times, leaving a remainder of 12.
Use 8 as the next digit of our solution. 
Result so far: 534.681818
Subtracting 528 from 540 leaves us with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

Advancing to step 12:
66 goes into 120 1 times with a remainder of 54.
The next digit of our result is 1. 
Result so far: 534.6818181
If we subtract 66 from 120, we get 54.
Since there are no more digits in the dividend, we add a zero to the remainder making it 540, and continue the process.

Let's proceed to step 13:
66 can be fit into 540 8 times, resulting in a remainder of 12.
Record the quotient 8 as the next digit in the result. 
Result so far: 534.68181818
Deduct 528 from 540 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 534.68181818, and the remainder is 1.2e-08.