Let's divide 55966307 by 353
We want to figure out the number of times 55966307 can be divided by 353.

Advancing to step 1:
If we divide 5 by 353, we get 0 and a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
The remainder is 5 after subtracting 0 from 5.
Append the next digit (5) from the dividend to 5 and continue with: 55 / 353

Going ahead to step 2:
When dividing 55 by 353, we get 0 with a remainder of 55.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 55 to get 55.
Append the next digit (9) from the dividend to 55 and continue with: 559 / 353

Let's proceed to step 3:
353 can be fit into 559 1 times, resulting in a remainder of 206.
Record the quotient 1 as the next digit in the result. 
Result so far: 1.0
The remainder is 206 after subtracting 353 from 559.
Include the next digit (6) from the dividend after 206, then repeat: 2066 / 353

Advancing to step 4:
353 goes into 2066 5 times with a remainder of 301.
Use 5 as the next digit of our solution. 
Result so far: 15.0
Subtract 1765 from 2066 to get 301.
Fetch the next digit (6) from the dividend, attach it to 301 and continue: 3016 / 353

Advancing to step 5:
3016 divided by 353 is 8 with a remainder of 192.
Use 8 as the next digit of our solution. 
Result so far: 158.0
The remainder is 192 after subtracting 2824 from 3016.
Fetch the next digit (3) from the dividend, attach it to 192 and continue: 1923 / 353

Let's proceed to step 6:
353 can be fit into 1923 5 times, resulting in a remainder of 158.
Record the quotient 5 as the next digit in the result. 
Result so far: 1585.0
If we take 1765 away from 1923, we end up with 158.
Grab the next digit (0) from the dividend, add it to 158, then carry on: 1580 / 353

Step 7:
When dividing 1580 by 353, we get 4 with a remainder of 168.
Use 4 as the next digit of our solution. 
Result so far: 15854.0
If we take 1412 away from 1580, we end up with 168.
Grab the next digit (7) from the dividend, add it to 168, then carry on: 1687 / 353

On to step 8:
If we divide 1687 by 353, we get 4 and a remainder of 275.
The next digit of our result is 4. 
Result so far: 158544.0
The remainder is 275 after subtracting 1412 from 1687.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2750, and continue the process.

Step 9:
353 goes into 2750 7 times with a remainder of 279.
Put 7 as the next digit of the answer. 
Result so far: 158544.7
Deduct 2471 from 2750 and we're left with 279.
Since there are no more digits in the dividend, we add a zero to the remainder making it 2790, and continue the process.

Step 10:
353 goes into 2790 7 times with a remainder of 319.
The next digit of our result is 7. 
Result so far: 158544.77
Subtract 2471 from 2790 to get 319.
Since there are no more digits in the dividend, we add a zero to the remainder making it 3190, and continue the process.

After the division, we end up with 158544.77 and a remainder of 0.319.