We divide 35501 by 66
We want to figure out the number of times 35501 can be divided by 66.

Going ahead to step 1:
3 divided by 66 is 0 with a remainder of 3.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Append the next digit (5) from the dividend to 3 and continue with: 35 / 66

On to step 2:
66 can be fit into 35 0 times, resulting in a remainder of 35.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Include the next digit (5) from the dividend after 35, then repeat: 355 / 66

Going ahead to step 3:
66 can be fit into 355 5 times, resulting in a remainder of 25.
The next digit of our result is 5. 
Result so far: 5.0
Deduct 330 from 355 and we're left with 25.
Append the next digit (0) from the dividend to 25 and continue with: 250 / 66

Let's proceed to step 4:
If we divide 250 by 66, we get 3 and a remainder of 52.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
Deduct 198 from 250 and we're left with 52.
Append the next digit (1) from the dividend to 52 and continue with: 521 / 66

Advancing to step 5:
If we divide 521 by 66, we get 7 and a remainder of 59.
The next digit of our result is 7. 
Result so far: 537.0
Subtract 462 from 521 to get 59.
Since there are no more digits in the dividend, we add a zero to the remainder making it 590, and continue the process.

On to step 6:
When dividing 590 by 66, we get 8 with a remainder of 62.
The next digit of our result is 8. 
Result so far: 537.8
If we subtract 528 from 590, we get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Let's proceed to step 7:
66 goes into 620 9 times with a remainder of 26.
Use 9 as the next digit of our solution. 
Result so far: 537.89
If we subtract 594 from 620, we 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.

Moving on to step 8:
When dividing 260 by 66, we get 3 with a remainder of 62.
Write down 3 as next digit of the result. 
Result so far: 537.893
Subtract 198 from 260 to get 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 9:
When dividing 620 by 66, we get 9 with a remainder of 26.
The next digit of our result is 9. 
Result so far: 537.8939
If we subtract 594 from 620, we 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.

Moving on to step 10:
260 divided by 66 is 3 with a remainder of 62.
Record the quotient 3 as the next digit in the result. 
Result so far: 537.89393
Deduct 198 from 260 and we're left with 62.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Step 11:
If we divide 620 by 66, we get 9 and a remainder of 26.
Put 9 as the next digit of the answer. 
Result so far: 537.893939
The remainder is 26 after subtracting 594 from 620.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

Let's proceed to step 12:
If we divide 260 by 66, we get 3 and a remainder of 62.
The number 3 becomes the next digit in our result. 
Result so far: 537.8939393
The remainder is 62 after subtracting 198 from 260.
Since there are no more digits in the dividend, we add a zero to the remainder making it 620, and continue the process.

Moving on to step 13:
When dividing 620 by 66, we get 9 with a remainder of 26.
Write down 9 as next digit of the result. 
Result so far: 537.89393939
Deduct 594 from 620 and we're left with 26.
Since there are no more digits in the dividend, we add a zero to the remainder making it 260, and continue the process.

In conclusion, the division gives 537.89393939 with a balance of 2.6e-08.