We look at the division of 354945 by 66 
We're looking to find how many times 66 goes into 354945.

Step 1:
3 divided by 66 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
If we subtract 0 from 3, we get 3.
Include the next digit (5) from the dividend after 3, then repeat: 35 / 66

Advancing to step 2:
66 goes into 35 0 times with a remainder of 35.
The next digit of our result is 0. 
Result so far: 0.0
Subtract 0 from 35 to get 35.
Append the next digit (4) from the dividend to 35 and continue with: 354 / 66

On to step 3:
If we divide 354 by 66, we get 5 and a remainder of 24.
Record the quotient 5 as the next digit in the result. 
Result so far: 5.0
Subtracting 330 from 354 leaves us with 24.
Append the next digit (9) from the dividend to 24 and continue with: 249 / 66

On to step 4:
The number 66 fits into 249 3 times, leaving a remainder of 51.
Record the quotient 3 as the next digit in the result. 
Result so far: 53.0
If we subtract 198 from 249, we get 51.
Append the next digit (4) from the dividend to 51 and continue with: 514 / 66

Advancing to step 5:
66 can be fit into 514 7 times, resulting in a remainder of 52.
Record the quotient 7 as the next digit in the result. 
Result so far: 537.0
The remainder is 52 after subtracting 462 from 514.
Append the next digit (5) from the dividend to 52 and continue with: 525 / 66

Going ahead to step 6:
The number 66 fits into 525 7 times, leaving a remainder of 63.
Write down 7 as next digit of the result. 
Result so far: 5377.0
Deduct 462 from 525 and we're left with 63.
Since there are no more digits in the dividend, we add a zero to the remainder making it 630, and continue the process.

Advancing to step 7:
66 goes into 630 9 times with a remainder of 36.
Put 9 as the next digit of the answer. 
Result so far: 5377.9
If we take 594 away from 630, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

On to step 8:
When dividing 360 by 66, we get 5 with a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 5377.95
Deduct 330 from 360 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.

Let's proceed to step 9:
When dividing 300 by 66, we get 4 with a remainder of 36.
The number 4 becomes the next digit in our result. 
Result so far: 5377.954
If we take 264 away from 300, we end up with 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 10:
The number 66 fits into 360 5 times, leaving a remainder of 30.
Write down 5 as next digit of the result. 
Result so far: 5377.9545
If we subtract 330 from 360, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

On to step 11:
300 divided by 66 is 4 with a remainder of 36.
Write down 4 as next digit of the result. 
Result so far: 5377.95454
If we subtract 264 from 300, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Advancing to step 12:
66 can be fit into 360 5 times, resulting in a remainder of 30.
The number 5 becomes the next digit in our result. 
Result so far: 5377.954545
Deduct 330 from 360 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.

Let's proceed to step 13:
66 goes into 300 4 times with a remainder of 36.
Use 4 as the next digit of our solution. 
Result so far: 5377.9545454
If we subtract 264 from 300, we get 36.
Since there are no more digits in the dividend, we add a zero to the remainder making it 360, and continue the process.

Moving on to step 14:
When dividing 360 by 66, we get 5 with a remainder of 30.
Use 5 as the next digit of our solution. 
Result so far: 5377.95454545
If we subtract 330 from 360, we get 30.
Since there are no more digits in the dividend, we add a zero to the remainder making it 300, and continue the process.

The final outcome is 5377.95454545, with a leftover of 3e-08.