349115 ÷ 53 
We're looking to find how many times 53 goes into 349115.

Advancing to step 1:
The number 53 fits into 3 0 times, leaving 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.
Take the next digit (4) from the dividend and append it to 3, then repeat: 34 / 53

Step 2:
34 divided by 53 is 0 with a remainder of 34.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
The remainder is 34 after subtracting 0 from 34.
Fetch the next digit (9) from the dividend, attach it to 34 and continue: 349 / 53

Step 3:
When dividing 349 by 53, we get 6 with a remainder of 31.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Deduct 318 from 349 and we're left with 31.
Bring next digit (1) of the dividend behind the 31 and repeat the process: 311 / 53

Let's proceed to step 4:
The number 53 fits into 311 5 times, leaving a remainder of 46.
Put 5 as the next digit of the answer. 
Result so far: 65.0
If we subtract 265 from 311, we get 46.
Append the next digit (1) from the dividend to 46 and continue with: 461 / 53

Advancing to step 5:
If we divide 461 by 53, we get 8 and a remainder of 37.
Record the quotient 8 as the next digit in the result. 
Result so far: 658.0
If we take 424 away from 461, we end up with 37.
Include the next digit (5) from the dividend after 37, then repeat: 375 / 53

Moving on to step 6:
If we divide 375 by 53, we get 7 and a remainder of 4.
Record the quotient 7 as the next digit in the result. 
Result so far: 6587.0
Subtracting 371 from 375 leaves us with 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

Going ahead to step 7:
53 can be fit into 40 0 times, resulting in a remainder of 40.
The next digit of our result is 0. 
Result so far: 6587.0
Deduct 0 from 40 and we're left with 40.
Since there are no more digits in the dividend, we add a zero to the remainder making it 400, and continue the process.

Going ahead to step 8:
53 goes into 400 7 times with a remainder of 29.
Write down 7 as next digit of the result. 
Result so far: 6587.07
Subtracting 371 from 400 leaves us with 29.
Since there are no more digits in the dividend, we add a zero to the remainder making it 290, and continue the process.

Moving on to step 9:
The number 53 fits into 290 5 times, leaving a remainder of 25.
The number 5 becomes the next digit in our result. 
Result so far: 6587.075
Deduct 265 from 290 and we're left with 25.
Since there are no more digits in the dividend, we add a zero to the remainder making it 250, and continue the process.

Moving on to step 10:
The number 53 fits into 250 4 times, leaving a remainder of 38.
Use 4 as the next digit of our solution. 
Result so far: 6587.0754
Deduct 212 from 250 and we're left with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

Going ahead to step 11:
The number 53 fits into 380 7 times, leaving a remainder of 9.
Use 7 as the next digit of our solution. 
Result so far: 6587.07547
If we subtract 371 from 380, we get 9.
Since there are no more digits in the dividend, we add a zero to the remainder making it 90, and continue the process.

Step 12:
90 divided by 53 is 1 with a remainder of 37.
Use 1 as the next digit of our solution. 
Result so far: 6587.075471
Subtract 53 from 90 to get 37.
Since there are no more digits in the dividend, we add a zero to the remainder making it 370, and continue the process.

Let's proceed to step 13:
If we divide 370 by 53, we get 6 and a remainder of 52.
The number 6 becomes the next digit in our result. 
Result so far: 6587.0754716
Deduct 318 from 370 and we're left with 52.
Since there are no more digits in the dividend, we add a zero to the remainder making it 520, and continue the process.

Going ahead to step 14:
53 goes into 520 9 times with a remainder of 43.
Put 9 as the next digit of the answer. 
Result so far: 6587.07547169
Subtract 477 from 520 to get 43.
Since there are no more digits in the dividend, we add a zero to the remainder making it 430, and continue the process.

The final result is 6587.07547169 with a remainder of 4.3e-08.