We look at the division of 375769 by 66 
We want to figure out the number of times 375769 can be divided by 66.

Advancing to step 1:
If we divide 3 by 66, we get 0 and a remainder of 3.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 3 leaves us with 3.
Bring next digit (7) of the dividend behind the 3 and repeat the process: 37 / 66

Step 2:
When dividing 37 by 66, we get 0 with a remainder of 37.
Write down 0 as next digit of the result. 
Result so far: 0.0
If we take 0 away from 37, we end up with 37.
Bring next digit (5) of the dividend behind the 37 and repeat the process: 375 / 66

Step 3:
66 can be fit into 375 5 times, resulting in a remainder of 45.
The next digit of our result is 5. 
Result so far: 5.0
The remainder is 45 after subtracting 330 from 375.
Grab the next digit (7) from the dividend, add it to 45, then carry on: 457 / 66

Let's proceed to step 4:
When dividing 457 by 66, we get 6 with a remainder of 61.
Record the quotient 6 as the next digit in the result. 
Result so far: 56.0
Deduct 396 from 457 and we're left with 61.
Take the next digit (6) from the dividend and append it to 61, then repeat: 616 / 66

Going ahead to step 5:
The number 66 fits into 616 9 times, leaving a remainder of 22.
Write down 9 as next digit of the result. 
Result so far: 569.0
If we subtract 594 from 616, we get 22.
Include the next digit (9) from the dividend after 22, then repeat: 229 / 66

Going ahead to step 6:
When dividing 229 by 66, we get 3 with a remainder of 31.
Write down 3 as next digit of the result. 
Result so far: 5693.0
If we take 198 away from 229, we end up with 31.
Since there are no more digits in the dividend, we add a zero to the remainder making it 310, and continue the process.

Advancing to step 7:
If we divide 310 by 66, we get 4 and a remainder of 46.
The next digit of our result is 4. 
Result so far: 5693.4
Subtracting 264 from 310 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.

Let's proceed to step 8:
If we divide 460 by 66, we get 6 and a remainder of 64.
The number 6 becomes the next digit in our result. 
Result so far: 5693.46
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.

On to step 9:
66 goes into 640 9 times with a remainder of 46.
Record the quotient 9 as the next digit in the result. 
Result so far: 5693.469
Subtract 594 from 640 to get 46.
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 10:
66 goes into 460 6 times with a remainder of 64.
The next digit of our result is 6. 
Result so far: 5693.4696
The remainder is 64 after subtracting 396 from 460.
Since there are no more digits in the dividend, we add a zero to the remainder making it 640, and continue the process.

Step 11:
66 can be fit into 640 9 times, resulting in a remainder of 46.
Use 9 as the next digit of our solution. 
Result so far: 5693.46969
Subtract 594 from 640 to get 46.
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 12:
460 divided by 66 is 6 with a remainder of 64.
Write down 6 as next digit of the result. 
Result so far: 5693.469696
The remainder is 64 after subtracting 396 from 460.
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 13:
66 goes into 640 9 times with a remainder of 46.
The number 9 becomes the next digit in our result. 
Result so far: 5693.4696969
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.

On to step 14:
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: 5693.46969696
Subtract 396 from 460 to 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.

The final outcome is 5693.46969696, with a leftover of 6.4e-08.