We're dividing 353309 by 52 
We want to figure out the number of times 353309 can be divided by 52.

Step 1:
3 divided by 52 is 0 with a remainder of 3.
Use 0 as the next digit of our solution. 
Result so far: 0.0
The remainder is 3 after subtracting 0 from 3.
Fetch the next digit (5) from the dividend, attach it to 3 and continue: 35 / 52

Advancing to step 2:
The number 52 fits into 35 0 times, leaving a remainder of 35.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 35 after subtracting 0 from 35.
Bring next digit (3) of the dividend behind the 35 and repeat the process: 353 / 52

Moving on to step 3:
When dividing 353 by 52, we get 6 with a remainder of 41.
Use 6 as the next digit of our solution. 
Result so far: 6.0
Subtract 312 from 353 to get 41.
Append the next digit (3) from the dividend to 41 and continue with: 413 / 52

On to step 4:
52 can be fit into 413 7 times, resulting in a remainder of 49.
Put 7 as the next digit of the answer. 
Result so far: 67.0
Deduct 364 from 413 and we're left with 49.
Bring next digit (0) of the dividend behind the 49 and repeat the process: 490 / 52

Moving on to step 5:
When dividing 490 by 52, we get 9 with a remainder of 22.
The number 9 becomes the next digit in our result. 
Result so far: 679.0
Deduct 468 from 490 and we're left with 22.
Grab the next digit (9) from the dividend, add it to 22, then carry on: 229 / 52

Step 6:
229 divided by 52 is 4 with a remainder of 21.
Use 4 as the next digit of our solution. 
Result so far: 6794.0
Subtracting 208 from 229 leaves us with 21.
Since there are no more digits in the dividend, we add a zero to the remainder making it 210, and continue the process.

Moving on to step 7:
52 can be fit into 210 4 times, resulting in a remainder of 2.
The number 4 becomes the next digit in our result. 
Result so far: 6794.4
The remainder is 2 after subtracting 208 from 210.
Since there are no more digits in the dividend, we add a zero to the remainder making it 20, and continue the process.

Moving on to step 8:
When dividing 20 by 52, we get 0 with a remainder of 20.
Write down 0 as next digit of the result. 
Result so far: 6794.4
If we subtract 0 from 20, we get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 9:
52 can be fit into 200 3 times, resulting in a remainder of 44.
Write down 3 as next digit of the result. 
Result so far: 6794.403
Subtract 156 from 200 to get 44.
Since there are no more digits in the dividend, we add a zero to the remainder making it 440, and continue the process.

Step 10:
52 goes into 440 8 times with a remainder of 24.
Put 8 as the next digit of the answer. 
Result so far: 6794.4038
If we subtract 416 from 440, we get 24.
Since there are no more digits in the dividend, we add a zero to the remainder making it 240, and continue the process.

Let's proceed to step 11:
If we divide 240 by 52, we get 4 and a remainder of 32.
Use 4 as the next digit of our solution. 
Result so far: 6794.40384
If we take 208 away from 240, we end up with 32.
Since there are no more digits in the dividend, we add a zero to the remainder making it 320, and continue the process.

On to step 12:
320 divided by 52 is 6 with a remainder of 8.
Use 6 as the next digit of our solution. 
Result so far: 6794.403846
Deduct 312 from 320 and we're left with 8.
Since there are no more digits in the dividend, we add a zero to the remainder making it 80, and continue the process.

Advancing to step 13:
If we divide 80 by 52, we get 1 and a remainder of 28.
The number 1 becomes the next digit in our result. 
Result so far: 6794.4038461
If we take 52 away from 80, we end up with 28.
Since there are no more digits in the dividend, we add a zero to the remainder making it 280, and continue the process.

Advancing to step 14:
The number 52 fits into 280 5 times, leaving a remainder of 20.
Record the quotient 5 as the next digit in the result. 
Result so far: 6794.40384615
The remainder is 20 after subtracting 260 from 280.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 6794.40384615 and a remainder of 2e-08.